SOLVED PAPER SSC COMBINED GRADUATE LEVEL TIER-I EXAM Held On: 19-06-2011 (1st Sitting)
REASONING Directions (1-9): In each of the following questions select the related letters/word/number from the given alternatives. 1. CFIL : ORUX :: GDJM : ? (a) HJLN (b) NQST (c) PSVY (d) RTVX 2. BEHK : YVSP :: DGJM : ? (a) JGDA (b) ROLI (c) WTQN (d) ZWTQ 3. 24 : 60 : : 120 : ? (a) 160 (b) 220 (c) 300 (d) 108 4. 392 : 28 : : 722 : ? (a) 18 (b) 28 (c) 38 (d) 48 5. 123 : 36 : : 221 : ? (a) 52 (b) 69 (c) 72 (d) 25 6. Timid : Ass : : Cunning : ? (a) Ant (b) Fox (c) Rabbit (d) Horse 7. Ecstasy : Gloom : : ? (a) Congratulations : Occasion (b) Diligent : Successful (c) Measure : Scale (d) Humiliation : Exaltation 8. Architect : Building : : Sculptor : ? (a) Museum (b) Stone (c) Chisel (d) Statue 9. MKQO : LNPR : : ? XVTZ (a) YSUW (b) SVWY (c) VTWY (d) WYTS
Directions (10-15): In each of the following questions, find the odd number/letters/word from the given alternatives. 10. (a) (c) 11. (a) (c) 12. (a) (c) 13. (a) (c) 14. (a) (b) (c) (d) 15. (a) (b) (c) (d)
PQXZ (b) BCQN ABDF (d) MNPR ABYZ (b) CDWX EFUV (d) GHTV 626 (b) 841 962 (d) 1090 5720 (b) 6710 2640 (d) 4270 Swimming Sailing Dividing Driving Perception Discernment Penetration Insinuation
Directions: In the following question from among the given alternative select the one in which the set of numbers is most like the set of number given in the questions. Give Set: (4, 25, 81) 16. (a) (b) (c) (d)
(4, 36, 79) (9, 48, 81) (16, 64, 100) (9, 49, 143)
17. In the following question, number of letters are skipped in between by a particular rule. Which of the following series observes the rule? (a) BAFHTU (b) ACEGJL (c) ACFJOU (d) ADFHJL Directions: In the following question, which one of the given response would be a meaningful order of the following? 18. (1) Ocean (2) Rivulet (3) Sea (4) Glacier (5) River (a) 5,2,3,1,4 (b) 4,2,5,3,1 (c) 5,2,3,4,1 (d) 4,2,1,3,5 Directions: Arrange the following words as per order in the dictionary. 19. (1) Preposition (2) Preperatively (3) Preposterous (4) Preponderate (5) Prepossess (a) 2,4,1,5,3 (b) 1,5,2,4,3 (c) 5,4,2,3,1 (d) 4,2,5,1,3 20. Which one of set of letters when sequentially placed at the gaps in the given letter series shall complete it? Ac__cab__baca__aba__aca__
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(a) acbcc (c) babbb
(b) aacbc (d) bcbba
Directions (21-24): In each of the following questions, a series is given, with one/two term(s) missing. Choose the correct alternative from the given ones that will complete the series. 21. _?_DREQ, GUHT, JXKW (a) EFRS (b) TGSF (c) JWVI (d) AOBN 22. 56, 90, 132, 184, 248, __?__ (a) 368 (b) 316 (c) 362 (d) 326 23. 0, 4, 8, 24, 64, 176, __?__ (a) 180 (b) 480 (c) 280 (d) 300 24. WTPMIFB __?__ __?__ (a) ZV (b) XU (c) YU (d) YV 25. Mrs. Sushella celebrated her wedding anniversary on Tuesday, 30th September 1997. When will she celebrate her next wedding anniversary on the same day? (a) 30 September 2003 (b) 30 September 2004 (c) 30 September 2002 (d) 30 October 2003 26. A clock gains five minutes every hour. What will be the angle traversed by the second hand in one minute? (a) 360o (b) 360.5o o (c) 390 (d) 380o 27. B is twice as odd as A but twice younger than F.C is half the age of A but is twice older than D. Who is the second oldest? (a) B (b) F (c) D (d) C 28. A two member committee comprising of one male and one female member is to be constituted out of five males and three females. Amongst the females, Ms. A refuses to be a member of the committee in which Mr. B is
29.
30.
31.
32.
33.
34.
35.
taken as the member. In how many different ways can the committee be constituted? (a) 11 (b) 12 (c) 13 (d) 14 Find the wrong number in the series. 6, 12, 21, 32, 45, 60 (a) 6 (b) 12 (c) 21 (d) 32 Ramesh ranks 13th in a class of 33 students. There are 5 students below Suresh rankwise. How many students are there between Ramesh and Suresh? (a) 12 (b) 14 (c) 15 (d) 16 Naresh’s age is 4 years 4 years less than twice the age of his brother. Which of the following represents the equation to find his age? (a) 2x + 4 (b) 4x + 2 (c) x – 4 (d) 2x – 4 Suresh’s sister is the wife of Ram. Ram is Rani’s brother. Ram’s father is Madhur. Sheetal is Ram’s grandmother. Rema is Sheetal’s daughter-in-law. Rema is Sheetal’s daughter-in-law. Rohit is Rani’s brother ’s son. Who is Rohit to Suresh? (a) Brother-in-law (b) Son (c) Brother (d) Nephew In a survey, 70% of those surveyed owned a car and 75% of those surveyed owned a TV. If 55% owned both a car and a TV, what percent of those surveyed did not own either a car on a TV? (a) 25% (b) 20% (c) 10% (d) 5% If DANCE is coded as GXQZH then how will RIGHT be coded? (a) UFJEW (b) SGKFX (c) UFJWE (d) UFWJE If LOSE is coded as 1357 and
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36.
I. II.
III. IV.
37.
38.
39.
GAIN is coded as 2468, what do the figures 84615 stand for? (a) NAILS (b) SNAIL (c) LANES (d) SLAIN A statement is given followed by four alternative arguments. Select the alternative which is most appropriate. Statements: Is it necessary that education should be job oriented? Arguments: Yes, the aim of education is to prepare person for earning. Yes, educated person should stand on his own feet after completion of education. No, education should be for sake of knowledge only. No, one may take up agriculture where education is not necessary. (a) Only I and II arguments are strong (b) Only III and IV argument are strong (c) Only I argument is strong (d) Only I and III arguments are strong A man started walking West. He turned right, then right again and finally turned left. Towards which direction was he walking now? (a) North (b) South (c) West (d) East Sudha travels 8 km to the South. Then she turns to the right and walks 4 km. Then again the turns to her right and moves 8 km forward. How many km away is she from the starting point? (a) 7 (b) 6 (c) 4 (d) 8 From the given alternative words, select the word which cannot be formed using the letters of the given words: ‘COMPREHENSION’ (a) MUTUAL (b) LIMITATION (c) ONION (d) PREACH
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40. From the given alternative words, select the word which can be formed using the letters of the given word: ‘MULTIPLICATION’ (a) MUTUAL(b) LIMITATION (c) APPLICATION (d) NOTION Directions (41-42): In each of the following questions, select the missing number from the given response.
41.
6
5
125
?
(a) 127 (c) 217
correct answer for the unsolved equation on that basis. If 324 × 289 = 35, 441 × 484 = 43, 625 × 400 = 45, find the value of 256 × 729. (a) 33 (b) 35 (c) 43 (d) 34
(c) 70 – 2 + 4 ÷ 5 × 6 = 341 (d) 70 – 2 + 4 ÷ 5 × 6 = 36 44. The school result is increasing year after year. Forecast the result of 2012 from the following information. Year 2011 Result
2006 2012 34.25%
51.75%
?
2007
2008
2009
2010
36.75% 39.75% 43.25% 47.25%
(a) 51.75% (b) 56.75% (c) 48.00% (d) 57.25% 45. Which diagram correctly represents the relationship between politicians, poets and women?
Directions: From the given answer figures, select the one in which the question figures is hidden/embedded. 48. Question Figure:
Answer figures:
(b) 31 (d) 328 (a)
42.
2
1
2
21
22
?
1
2
5
20
23
43
(a)
(b)
(c)
(b)
(c)
(d)
(d)
46. How many triangles are there in the following figures?
Directions: If a mirror is placed on the line MN, then which of the answer figures is the correct image of the given question figure? 49. Question Figure:
(a) 40 (b) 48 (c) 50 (d) 36 43. If ‘–‘ stands for division ‘+’ stands for subtraction, ‘÷’ stands for multiplication, ‘×’ stands for addition, then which one of the following equations is correct? (a) 70 – 2 + 4 ÷ 5 × 6 = 44 (b) 70 – 2 + 4 ÷ 5 × 6 = 21
N
M
Answer figures: (a) 29 (b) 27 (c) 23 (d) 30 47. Some equations are solved on the basis of a certain system. Find the
GENERAL 51. In the budget for 2011-2012, the fiscal deficit (% of GDP) for 20112012 has been projected at (a) 5.1 (b) 5.0 (c) 4.6 (d) 3.4 52. Which was described by Dr. B.R. Ambedkar as the ‘heart and soul’ of the Constitution? (a) Right to Equality
(b)
(c)
(d)
AWARENESS
(b) Right against Exploitation (c) Right to Constitutional Remedies (d) Rights to Freedom of Religion 53. Which is not the concern of the local government? (a) Public Health (b) Sanitation
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(a)
(c) Law and order (d) Public Utility Services 54. In India, the concept of single citizenship is adopted from (a) England (b) U.S.A. (c) Canada (d) France 55. Who had proposed partyless democracy in India?
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56.
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(a) Jaya Prakash Narayan (b) Mahatma Gandhi (c) Vinoba Bhave (d) S.A. Dange Disinvestment in Public Sector is called (a) Liberalisation (b) Globalisation (c) Industrialisation (d) Privatisation ‘Darwin finches’ refers to a group of (a) Fishes (b) Lizards (c) Birds (d) Amphibians An individual’s actual standard of living can be assessed by (a) Gross National Income (b) Net National Income (c) Per Capita Income (d) Disposable Personal Income As announced by the Finance Minister in his Budget speech on 28th February 2011, with a view to assist States in modernising their stamp and registration administration, E-stamping is expected to be rolled out in all the districts of different States in a period of (a) one year (b) two year (c) three year(d) five year Which Sikh Guru called himself the ‘Sachcha Badshah’? (a) Guru Gobind Singh (b) Guru Hargoving (c) Guru Tegh Bahadur (d) Guru Arjun Dev The Civil Disobedience Movement was launched by Mahatma Gandhi in (a) 1928 (b) 1930 (c) 1931 (d) 1922 What is the maximum strength prescribed for State Legislative Assemblies? (a) 350 (b) 600 (c) 500 (d) 750
63. Fa-hien visited India during the region of (a) Chandragupta II (b) Samundragupta (c) Ramagupta (d) Kumaragupta 64. At which place in Bengal was the East India Company given permission to trade and build a factory by the Mughals in 1651? (a) Calcutta (b) Cassim Bazar (c) Singur (d) Burdwan 65. Diu is an island off (a) Daman (b) Goa (c) Gujarat (d) Maharashtra 66. Which from the following is a land-locked sea? (a) Red Sea (b) Timor Sea (c) North Sea (d) Aral Sea 67. Shivasamudram Falls is found in the course of river (a) Krishna (b) Godavari (c) Cauvery (d) Mahanandi 68. Who gave the slogan “Inquilab Zindabad”? (a) Chandrashekhar Azad (b) Subhash Chandra Bose (c) Bhagat Singh (d) Iqbal 69. The position of India Railways network in the world is (a) second (b) third (c) fourth (d) fifth 70. The oldest international airline is (a) Dutch. KLM (b) Air Canada (c) Qantas Airways (d) Air Sahara 71. Which of the following can be used to absorb neutrons to control the chain reaction during nuclear fission? (a) Boron (b) Heavy water
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72.
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(c) Uranium (d) Plutonium Hydrogen bomb is based on the principle of (a) controlled fission reaction (b) uncontrolled fission reaction (c) controlled fusion reaction (d) uncontrolled fusion reaction Troposphere is the hottest part of the atmosphere because (a) it is closest to the Sun (b) there are charged particles in it (c) it is heated by the Earth’s surface (d) heat is generated in it The outermost layer of the Sun is called (a) Chromosphere (b) Photosphere (c) Corona (d) Lithosphere Where was India’s computer installed? (a) Indian Institute of Technology, Delhi (b) Indian Institute of Science, Bangalore (c) Indian Iron & Steel Co. Ltd., Burnpur (d) Indian Statistical Institute, Calcutta The dried flower buds are used as a spice in (a) Cardamom(b) Cinnamon (c) Cloves (d) Saffron The tissue in man where no cell division occurs after birth is (a) skeletal (b) nerves (c) connective(d) germinal DNA fingerprinting is used to identify the (a) Parents (b) Rapist (c) Thieves (d) All the above The normal cholesterol level in human blood is (a) 80 – 120 mg% (b) 120 – 140 mg%
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80.
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(c) 140 – 180 mg% (d) 180 – 200 mg% Which of the following are warmblooded animals? (a) Whales (b) Whale Sharks (c) Alytes (d) Draco Syrinx is the voice box in (a) Amphibians (b) Reptiles (c) Birds (d) Mammals The largest ecosystem of the Earth is (a) Biome (b) Hydrosphere (c) Lithosphere (d) Biosphere In a food chain, the solar energy utilized by plants is only (a) 10 per cent (b) 1 per cent (c) 0.1 per cent (d) 0.01 per cent Supersonic jet causes pollution by thinning of (a) O3 layer (b) O2 layer (c) SO2 layer (d) CO2 layer OTEC stand for (a) Ocean Thermal Energy Conservation (b) Oil and Thermal Energy Conservation (c) Ocean Thermal Energy Conversion (d) Ocean Thermal Energy Conversion As per Railway Budget for 20112012, the senior citizen concession for men has been increased from (a) 25 % to 30% (b) 30 % to 40% (c) 40 % to 50% (d) 30 % to 50% The monster earthquake-cumtsunami which his Japan on March, 11, 2011 has moved the
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country’s main island, Honshu, by about (a) two feet (b) three feet (c) five feet (d) eight feet What is the commonly used unit for measuring the speed of data transmission? (a) Mega Hertz (b) Character per second (c) Bits per second (d) Nano seconds Which type of reaction produces the most harmful radiation? (a) Fusion reaction (b) Fission reaction (c) Chemical reaction (d) Photo-Chemical reaction Which type of glass is used for making glass reinforced plastic? (a) Pyrex glass (b) Flint glass (c) Quartz glass (d) Fibre glass Which of the following metals causes Itai-Itai disease? (a) Cadmium (b) Chromium (c) Cobalt (d) Copper Glycol is added to aviation gasoline because it (a) reduces evaporation of petrol (b) increases efficiency of petrol (c) prevents freezing of petrol (d) reduces consumption of petrol Who invented penicillin? (a) Alexander Fleming (b) Louis Pasteur (c) Dresser (d) Edward Jenner 2018 FIFA World Cup would be held in (a) Russia (b) Qatar (c) France (d) Netherlands
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95. Who of the following was not the recipient of Nobel Prize in Economics 2010? (a) Peter A. Diamond (b) Christopher Pissarides (c) Lui Xiaobo (d) Dale Mortensen 96. Which troubled model was recalled recently by the Indian automobile giant Maruti Suzuki for replacement of faulty fuel pump gasket? (a) Maruti 800 (b) Maruti A-Star (c) Wagon R (d) Baleno 97. As a part of Human Resource Development Ministry’s ‘brain gain’ policy to attract global talent, 14 world class universities to attract global talents are proposed to be set up in various states. Name the state from the following where no university of the aforesaid type is proposed to be located. (a) Punjab (b) Bihar (c) Rajasthan (d) Uttaranchal 98. Who discovered South Pole? (a) Robert Peary (b) Amundsen (c) John Cabot (d) Tasman 99. Which of the following folk dances is associated with Rajasthan? (a) Rauf (b) Jhora (c) Veedhi (d) Suisini 100. Which of the following books is authored by V.S. Naipalu? (a) The Rediscovery of India (b) A House for Mr. Biswas (c) Witness the Night (d) Tender Hooks
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NUMERICAL APTITUDE 101. If p = 124,
3
? (a) 5 (c) 123 102. If 1-
p ( p 2 + 3 p + 3) +1 =
(b) 7 (d) 125
x3 3 = , then x equals 100 5
8+ 57 + 38+ 108+ 169 =? (a) 4 (c) 8
(b) 6 (d) 10
106. The square root of 14 + 6 5 is (a) 2 + 5
(b) 3+ 5
(c) 5 + 3 (d) 3+ 2 5 107. When 2 31 is divided by 5 the remainder is (a) 4 (b) 3 (c) 2 (d) 1 1
1+
1
1+
1
1+ 108. The value of
17 (b) 3
34 8 (d) 21 5 109. The unit digit in the product (122)173 is (a) 2 (b) 4 (c) 6 (d) 8 110. The value of
(c)
(a) 2 (b) 4 (c) 16 (d) (136)1/3 103. I multiplied a natural number by 18 and another by 21 and added the products. Which one of the following could be the sum? (a) 2007 (b) 2008 (c) 2006 (d) 2002 104. The product of two numbers is 45 and their difference is 4. The sum of squares of the two numbers is (a) 135 (b) 240 (c) 73 (d) 106 105.
(a)
21 13
1+
1 1+
2 3
2+ 3 2- 3
+
2- 3 2+ 3
+
3 +1 3 -1
116.
117.
is
(a) 16+ 3 (b) 4 - 3 (c) 2 - 3 (d) 2 + 3 111. If a * b = 2a + 3b – ab, then the value of (3 * 5 + 5 * 3) is (a) 10 (b) 6 (c) 4 (d) 2 112. Simplify:
118.
0.0347 × 0.0347 × 0.0347 + (0.9653)3 (0.0347) 2 - (0.347) + (0.09653) 2
(a) 0.9306 (b) 1.0009 (c) 1.0050 (d) 15 113. A copper wire is bent in the form of an equilateral triangle, and has
119.
are 121 3 cm2. If the same wire is bent into the form of a circle, the area (in cm2) enclosed by the wire 22 ) 7 (a) 364.5 (b) 693.5 (c) 346.5 (d) 639.5 114. A child reshapes a cone made up of clay of height 24 and radius 6cm into a sphere. The radius (in cm) of eh sphere is (a) 6 (b) 12 (c) 24 (d) 48 115. Water flows into a tank which is 200m long and 150m wide, through a pipe of cross-section 0.3m ×
in (Take π =
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120.
121.
0.2m at 20 km/hour. Then the time (in hour) for the water level in the tank to reach 8cm is (a) 50 (b) 120 (c) 150 (d) 200 The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is (a) 1 (b) 2 (c) 3 (d) 4 Two equal vessels are filled with the mixture of water and milk in the ratio of 3:4 and 5:3 respectively. If the mixtures are poured into a third vessel, the ratio of water and milk in the third vessel will be (a) 15 : 12 (b) 53 : 59 (c) 20 : 9 (d) 59 : 53 I am three times as old as my son. 15 years hence, I will by twice as old as my son. The sum of our ages is (a) 48 years (b) 60 years (c) 64 years (d) 72 years Three bells ring simultaneously at 11 a.m. They ring at regular intervals of 20 minutes, 30 minutes, 40 minutes respectively. The time when all the three ring together next is (a) 2 p.m. (b) 1 p.m. (c) 1.15 p.m. (d) 1.30 p.m. A and B together can do a works in 12 days. B and C together do it in 15 days. If A’s efficiency is twice that of C, then the days required for B alone to finish the work is (a) 60 (b) 30 (c) 15 (d) 15 A and B can do a work in 12 days, B and C can do the same work in 15 days, C and A can do the same time work in 20 days. The time taken by A, B and C to do the same work is
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(a) 5 days (b) 10 days (c) 15 days (d) 20 days 122. A is 50% as efficient as B. C does half of the work done by A and B together. If C alone does the work in 20 days, then A, B and C together can do the work in 2 2 (a) 5 days (b) 6 days 3 3
(c) 6 days (d) 7 days 123. The ratio of the volumes of water and glycerine in 240cc of a mixture is 1 : 3. The quantity of water (in cc) that should be added to the mixture so that the new ratio of the volume of water and glycerine becomes 2:3 is (a) 55 (b) 60 (c) 62.5 (d) 64 124. At present, the ratio of the ages of Maya and Chhaya is 6:5 and fifteen years from now, the ratio will get changed to 9:8. Maya’s present age is (a) 21 years (b) 24 years (c) 30 years (d) 40 years 125. The ratio of the income to the expenditure of a family is 10:7. If the family’s expenses are Rs. 10,500, then savings of the family is (a) Rs. 4,500 (b) Rs. 10,000 (c) Rs. 4,000 (d) Rs. 5,000 126. The average mathematics marks of two Sections A and B of Class IX in the annual examination is 74. The average marks of Section A is 77.5 and that of Section B is 70. The ratio of the number of students of Section A and B (a) 7 : 8 (b) 7 : 5 (c) 8 : 7 (d) 8 : 5 127. The average weight of a group of 20 boys was calculated to be 89.4 kg and it was later discovered that one weight was misread as 78kg instead of 87 kg. The correct average weight is
(a) 88.95 kg (b) 89.25 kg (c) 89.55 kg (d) 86.85 Kg 128. The diameter of a wheel is 98 cm. The number of revolutions in which it will have to cover a distance of 1540 m is (a) 500 (b) 600 (c) 700 (d) 800 129. In an equilateral triangle ABC of side 10cm, the side BC is trisected at D. Then the length (in cm) of AD is (a) 3 7
(b) 7 3
10 7 7 10 (d) 3 3 130. The cost price of an article is Rs. 800. After allowing a discount of 10%, a gain of 12.5% was made. Then the marked price of the article is (a) Rs. 1,000 (b) Rs. 1,100 (c) Rs. 1,200 (d) Rs. 1,300 131. A man bought an article listed at Rs. 500 with a discount of 20% offered on the list price. What additional discount must be offered to man to bring the net price to Rs. 1,104? (a) 8% (b) 10% (c) 12% (d) 15% (c)
a c e 132. If = = = 3, b d f then
2a 2 + 3c 2 + 4e 2 =? 2b 2 + 3d 2 + 4 f 2
(a) 2 (b) 3 (c) 4 (d) 9 133. The floor of a room is of size 4m × 3m and its height is 3m. The walls and ceiling of the room require painting. The area to be painted is (a) 66 m2 (b) 54 m2 (c) 43 m2 (d) 33 m2 134. When the price of an article was reduced by 20% its sale increased
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by 80%. What was the net effect on the sale? (a) 44% increase (b) 44% decrease (c) 66% increase (d) 66% decrease 135. The price of sugar goes up by 20%. If a housewife wants the expenses on sugar to remain the same, she should reduce the consumption by 1 (a) 15 % 5
2 (b) 13 % 3
(c) 20% (d) 25% 136. In a factory 60% of the workers are above 30 years and of these 75% are males and the rest are females. If there are 1350 male workers above 30 years, the total number of workers in the factory (a) 3000 (b) 2000 (c) 1800 (d) 1500 137. Walking at
3 of his usual speed, a 4
1 main is 1 hours late. His usual 2 time to cover to same distance, in hours, is (a) 4
1 2
(b) 4
1 (d) 5 2 138. The selling price of 10 oranges is the cost price of 13 oranges. Then the profit percentage is (a) 30% (b) 10% (c) 13% (d) 3% 139. The marked price of a ratio is Rs. 480. The shopkeeper allows a discount at 10% and gains 8%. If no discount is allowed, his gain percent would be (a) 18% (b) 18.5% (c) 20.5% (d) 20% 140. A man sold 20 apples for Rs. 1000
(c) 5
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which are in the ratio 1:
1 1 : , the 3 6
middle part is (a) 9
1 3
(b) 13
1 1 (d) 18 3 3 143. The simple interest on a sum of
(c) 17
1 of the principle and 9 the number of years is equal to rate per cent annum. The rate per annum is
money is
(a) 3%
(b)
1 % 3
Directions (147-150): The pie chart given below show the spending of a family on various heads during a month. Study the graph and answer the questions 147 to 150.
11% Clothing
% 14
nt Re
9% Fuel 15% Education 45% food Oth ers
1 3 (c) 3 % (d) % 3 10 144. The difference between simple interest and compound interest of a certain sum of money at 20% per annum for 2 years is Rs. 48. Then the sum is (a) Rs. 1,000 (b) Rs. 1,200 (c) Rs. 1,500 (d) Rs. 2,000 145. Shri X goes to his office by scooter at a speed of 30 km/h and reaches 6 minutes earlier. If he goes at a speed of 24 km/h, he reaches 5 minutes late. The distance of his office is (a) 20 km (b) 21 km (c) 22 km (d) 24 km 146. A sum of money becomes eight times in 3 years, if the rate is compounded annually. In how much time will the same amount at the same compound rate become sixteen times? (a) 6 years (b) 4 years (c) 8 years (d) 5 years
6%
and gained 20%. How many apples did he buy for Rs. 100? (a) 20 (b) 22 (c) 24 (d) 25 141. A rectangular sheet of metal is 40 cm by 15 cm. Equal squares of side 4 cm are cut off at the corners and the remainder is folded up to form an open rectangular box. The volume of the box is (a) 896 cm3 (b) 986 cm3 (c) 600 cm3 (d) 916 cm3 142. If 78 is divided into three parts
147. If the total income of the family is Rs. 25,000, then the amount spent on Rent and Food together is (a) Rs. 17,250(b) Rs. 14,750 (c) Rs. 11,250(d) Rs. 8,500 148. What is the ratio of the expenses of Education to the expenses on Food? (a) 1 : 3 (b) 3 : 1 (c) 3 : 5 (d) 5 : 3 149. Expenditure on Rent is what percent of expenditure of Fuel? (a) 135% (b) 156% (c) 167% (d) 172% 150. Which three expenditures together haveacentral angleof 108o? (a) Fuel, Clothing and Others (b) Fuel, Education and Others (c) Clothing, Rend and Others (d) Education, Rent and Others
ENGLISH COMPREHENSION Directions (151-155): In the following question, some of the sentences have errors and some are correct. Find out which part of a sentence has an error. The number of the part is you answer. If a sentence is free from errors, then you answer is (d) i.e., No error. 151. A senior doctor (1) / expressed concern (2) / about physicians recommended the vaccine. (3) / No error. (4) 152. We have discussing (1) / all the
known mechanisms (2) / of physical growth, (3) / No error. (4) 153. Children enjoy listening to (1) / ghosts stories (2) / especially on Halloween night. (3) / No error. (4) 154. I (1) / have (2) / many works to do. (3) / No error. (4) 155. There are so many filths (1) / all around (2) / the place. (3) / No error. (4) Directions (156–160): In the following questions, sentences are given with
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blanks to be filled in with an appropriate word. Four alternatives are suggested for each question. Choose the correct alternative out of the four. 156. The building is not safe and must be _____ down. (a) pull (b) pulling (c) pulled (d) pulls 157. There is something wonderful ___ him. (a) of (b) about (c) for (d) inside
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158. The song in the play cannot be deleted it is ____ to the story. (a) intervened (b) innate (c) exacting (d) integral 159. She remained a _____ all her life. (a) spinster (b) bachelor (c) unmarried (d) single 160. Do not stay in the grasslands after dark, as some animals become ____ when they see humans. (a) provoked (b) alerted (c) aggressive (d) threatened Directions (161-165): In the following, questions out of the four alternatives, choose one which best expresses the meaning of the given word. 161. LUCIDITY (a) Fluidity (b) Politeness (c) Clarity (d) Fluency 162. INDICT (a) Implicate (b) Elude (c) Appreciate (d) Judge 163. DELUGE (a) Confusion (b) Deception (c) Flood (d) Weapon 164. PREPONDERANCE (A) Pre-eminence (B) Dominance (C) Domineering (D) Preoccupation Directions (166-170): In the following question no. 166 to 170, out of the four alternatives, choose the word opposite in meaning to the given word.
166. INVINCIBLE (a) Small (b) Invisible (c) Vulnerable(d) Reachable 167. INOFFENSIVE (a) Sensitive (b) Organic (c) Sensible (d) Rude 168. DIVULGE (a) Conceal (b) Disguise (c) Oppress (d) Reveal 169. DISCORD (a) Harmony (b) Serenity (c) Acceptance (d) Placidity 170. MAMMOTH (a) Quiet (b) Significant (c) Huge (d) Small Directions (171-175): In the following four alternatives are given for the meaning of the given Idiom/Phrase. Choose the alternative which best expresses the meaning of the Idiom/ Phrase. 171. To take to heart (a) to be encouraged (b) to grieve over (c) to like (d) to hate 172. Yeoman’s service (a) medical help (b) excellent work (c) social work (d) hard work 173. To face the music (a) to enjoy a musical recital (b) to bear the consequences (c) to live in a pleasant atmosphere (d) to have a difficult time 174. To put up with (a) to accommodate
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(b) to adjust (c) to understand (d) to tolerate 175. To call it a day (a) to conclude proceedings (b) to initiate proceedings (c) to work through the day (d) None of the above Directions (176-180): In the following questions, a sentence or bold part thereof is given which may need improvement. Alternative are given at (A), (B) and (C) below, which may be a better option. In case, no improvement is needed, your answer is (D). 176. The man whom I thought was thoroughly honest proved to be a swindler. (a) The man whom I thought was thoroughly honest proved as swindler. (b) The man who I thought was thoroughly honest proved to be a swindler. (c) The man to whom I thought was thoroughly honest proved to be a swindler, (d) No improvement 177. No sooner had the dividend been declared, the notices were sent out. (a) The company had hardly declared the dividend till the notices were sent for mailing. (b) They had no sooner declared to dividend then the notices were sent out. (c) Hardly had the dividend been declared than the notices were sent out. (d) No improvement. 178. Riding upon his horse, the tiger jumped at him. (a) Riding upon the tiger, the horse jumped at him. (b) The tiger jumped at him while he was riding upon his horse.
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(c) The tiger rode at him while he was jumping upon his horse. (d) No improvement 179. I in black and white must have your terms down. (a) I must have in black in white your terms down. (b) I must have your terms in black and white down. (c) I must have your terms down in black and white. (d) No improvement. 180. When we are came out of the restaurant it was half past eleven. (a) When we had come out of the restaurant (b) After we came out of the restaurant (c) When we have come out of the restaurant (d) No improvement Directions (181-185): In the following questions, out of the four alternatives, choose the one which can be substituted for the given words/ sentence. 181. Code of diplomatic etiquette and precedence (a) Statesmanship (b) Diplomacy (c) Hierarchy (d) Protocol 182. To renounce a high position of authority or control (a) Abduct (b) Abandon (c) Abort (d) Abdicate 183. Not to be moved by entreaty (a) Rigorous (b) Negligent (c) Inexorable (d) Despotic 184. An object or portion serving as a sample (a) Specification (b) Spectre
(c) Spectacle (d) Specimen 185. The practice of submitting a proposal to popular vote (a) Election (b) Reference (c) Popularity(d) Referendum Directions (186-190): In the following questions, groups of four words are given. In each group, one word is correctly spelt. Find the correctly spelt word. 186. (a) (b) (c) (d) 187. (a) (b) (c) (d) 188. (a) (c) (d) 189. (a) (b) (c) (d) 190. (a) (b) (c) (d)
mandatary circulatory temporary regulatory convinience initative concessional exaggerate diologue(b) giraffe scissors humourous assiduous nefarious macabre loquacious cortege damage milege plumege
Directions (191-200): In the following passage some of the words have been left out. First read the passage over and try to understand what it is about. Then fill the blanks with the help of the alternative given. Passage Science means knowledge, but not all knowledge is science. I know from my own eyesight that our dog Chippy lies papaya; I know from a book that Akbar was the (191) of Babar, and (192) in 1605; and I know (193) the ratio that India did not do well in the (194) Test matches. W e can call these (195) of knowledge (196) but they are not science.
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Science (197) with facts, but not with facts which have (198) to do with each other, like the facts about our dog, cricket and the Mughal ruler; those facts are not related (199), and so have nothing (200) with science. Science stars with observation.
191. (a) grandson (b) grandfather (c) grand nephew (d) son 192. (a) gone (b) died (c) disappeared (d) absented 193 (a) on (b) in (c) since (d) from 194. (a) old (b) ordinary (c) latest (d) outdated 195. (a) pieces (b) peace (c) whole (d) block 196. (a) lies (b) charges (c) facts (d) blame 197. (a) starts (b) stops (c) passes (d) drives 198. (a) no (b) neither (c) nor (d) nothing 199. (a) by that way (b) in any way (c) from the side (d) in addition to 200. (a) to lie (b) to speak (c) to sleep (d) to do
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ANSWERS 1. (c)
2. (c)
3. (c)
4. (c)
5. (d)
6. (b)
7. (d)
8. (d)
9. (a)
10. (b)
11. (d)
12. (b)
13. (d)
14. (d)
15. (d)
16. (c)
17. (c)
18. (b)
19. (a)
20. (b)
21. (d)
22. (d)
23. (d)
24. (c)
25. (a)
26. (b)
27. (a)
28. (d)
29. (a)
30. (b)
31. (d)
32. (d)
33. (c)
34. (a)
35. (a)
36. (a)
37. (a)
38. (c)
39. (d)
40. (c)
41. (c)
42. (a)
43. (b)
44. (b)
45. (d)
46. (b)
47. (c)
48. (d)
49. (b)
50. (c)
51. (c)
52. (c)
53. (c)
54. (a)
55. (a)
56. (d)
57. (c)
58. (d)
59. (c)
60. (b)
61. (b)
62. (c)
62. (a)
64. (b)
65. (c)
66. (d)
67. (c)
68. (c)
69. (c)
70. (a)
71. (d)
72. (d)
73. (c)
74. (c)
75 (d)
76. (c)
77. (b)
78. (d)
79. (d)
80. (a)
81. (c)
82. (a)
83. (c)
84. (a)
85. (d)
86. (b)
87. (d)
88. (c)
89. (b)
90. (d)
91. (a)
92. (c)
93. (a)
94. (a)
95. (c)
96. (b)
97. (d)
98. (b)
99. (d)
100. (b)
101. (d)
102. (b)
103. (a)
104. (d)
105. (a)
106. (b)
107. (b)
108. (c)
109. (b)
110. (a)
111. (a)
112. (d)
113. (c)
114. (a)
115. (d)
116. (b)
117. (d)
118. (b)
119. (b)
120. (c)
121. (b)
122. (b)
123. (b)
124. (c)
125. (a)
126. (c)
127. (d)
128. (a)
129. (c)
130. (a)
131. (a)
132. (d)
133. (b)
134. (a)
135. (b)
136. (a)
137. (a)
138. (a)
139. (d)
140. (c)
141. (a)
142. (c)
143. (c)
144. (b)
145. (c)
146. (b)
147. (b)
148. (a)
149. (b)
150. (b)
151. (c)
152 (a)
153. (c)
154. (c)
155. (a)
156. (c)
157. (b)
158. (d)
159. (a)
160. (c)
161. (c)
162. (c)
163. (d)
164. (c)
165. (b)
166. (c)
167. (d)
168. (a)
169. (a)
170. (d)
171. (b)
172. (a)
173. (b)
174. (d)
175. (d)
176. (d)
177. (a)
178. (b)
179. (c)
180. (d)
181. (d)
182. (d)
183. (d)
184. (d)
185. (d)
186. (c)
187. (d)
188. (c)
189. (b)
190. (a)
191. (a)
192. (b)
193. (a)
194. (c)
195. (a)
196. (c)
197. (a)
198. (d)
199. (b)
200. (d)
EXPLANATIONS C F I L
O R U X +12 +12 +12 +12
1. Similarly,
D G J M
P S V Y +12 +12 +12 +12
3. 24 × 2.5 = 60 12 × 2.5 = 300 4. 14 × 14 × 2 = 722 14 × 2 = 28 Similarly, 19 × 19 × 2 = 392 19 × 2 = 38
5. 1 + 2 + 3 = 6; (6)2 = 36 2 + 2 + 1 = 5 ; (5)2 = 25 6. Ass is considered at Timid. Fox is considered as Cunning. 7. Ecstasy is opposite of Gloom. Similarly, Humiliation is opposite of Examination. 8. Architect construct buildings. Similarly, Sculptor carves statue. P B
+1 +1
A C
+7 +14
X Q
+2 -3
Z N
10. A +1 B +2 D +2 F M
+1
N +2
P
+2
R
12. The number 841 is a perfect square. 841 = 29 × 29 13. Except the number 4270, all other numbers are completely divisible
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by 11. 5720 6710 = 520; = 610; 11 11 2640 = 240 11 4270 11 = 388.18 14. Except (Driving), all other activitiers are performed in water. 15. Insinuation is different from the other words. Insinuate (Verb) means “to suggest sombody/something in an unpleasant and indirect way”. Insinuation (Noun) means “the action of insinuating something”. 16. The numbers given in the Set are
But,
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Perfect Squares. 4 = (2)2; 25 = (5)2; 81 = (9)2 Similarly, 16 = (4)2; 64 = (8)2; 100 = (10)2 -1
B A
17.
G
+4
F
+2
D
H
+2
E
+3
C
-4
A
+2
F
+2
C
-3
A
+5
A
-2
F
J
+2
H
+12
+1
T
+5
J
+5 +2
U
+2
O
+6
J
+2
L U L
18. Meaningful order of the given words: 4. Glacier 2.
25. 30th September 1998 Wednesday 30the Semptember 1999 Thursday 30th September 2000 Saturday Beause 2000 is a Leap Year and there is one extra day in the month of February. 30th September 2001 Sunday 30th Sepeember 2002 Monday 30th Sempember 2003 Tuesday An ordinary year has one odd day. 26. Each second-space equals 1o. A clock gains five minutes every hour. It means the clock gain
Rivulet River
3.
Sea
1. Ocean 19. Arrangement of words as per dictionary 2. Preparatively 4. Preponderate 1.
Preposition
5.
5
29.
3. Preposterous
0
4
b
8
+7
21 +9
+11
/ a c a 24
64
+2
c 176
300
+2
+4
+4
+0
W
24.
-3 -3
+16
+12
T F
-4 -4
+40
+24
P B
45 +13
Per cent of those surveyed who did not own either a car or a TV = 100 – (20 + 55 + 15) = 100 – 90 = 10% L O S E G A I N
35. 1 3 5 7 2 4 6 8
8 4 6 1 5
Therefore, 36. Only I and II arguments are strong. Education is meant for both knowledge and securing a job. Any skills is acquired to use it purposefully. 37. North
West
-3 -3
M Y
+12
-4 -4
I U
South
Now, he is walking towards North. Starting Point
8 km
+2
38. 4 km
28th
31. Suppose the age of Naresh’s brother = x years ∴ Age of Naresh = 2x – 4 32. Ram is brother of Rani. Rohit is son of Ram.
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East
+15
14 Students S R ..................
+112 +124
+72
+2
Car 15
60
Therefore, the number 6 is wrong. in the series. 30. The rank of Suresh = 28th 13th
23.
32
55
8 km
20. ac a c / ab a b / a c a c / aba
12
TV 20
NA I L S
5 ×360 = 30 60 27. B = 2A F = 2B A = 2C C = 2D F > B >A> C > D 28. Total number of way in which the committee can be formed = 5 × 3 =15 But Ms A refused to be a member of treh committee in which Mr. B is taken as a memeber. T h e r e for e , the required answer = 15 – 1 = 14
Prepossess
33.
5 60
minutes in one minute. 5.
Suresh is material uncle of Rohit. Therefore, Rohit is nephew of Suresh.
39. There is no ‘A’ letter in the keybord. 40. There is only one ‘U’ in the keyword. There are one ‘A’ and one ‘P’ in the keyword.
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There is only one ‘O’ in the keyword. M A
U T
L I
T O
I
P
L
I
C
N
Politicians
41. (5)3 + 1 = 125 + 1 = 126 (6)3 + 1 = 216 + 1 =217 42. (21 + 1) – 2 = 22 – 2 = 20 (22 + 2) – 1 = 24 – 1 = 23 (? + 5) – 2 = 43 ⇒ ? = (43 + 2 ) – 5 ⇒ ? = 45 – 5 = 40 43. 70 ÷ 2 – 4 × 5 + 6 = 44 ⇒ 15 + 6 ≠ 44 70 ÷ 2 – 4 × 5 + 6 = 21 ⇒ 35 – 20 + 6 = 21 ⇒ 41 – 20 = 21 44. 34.25 + 2.50 = 36.75 36.75 + 3.00 = 39.75 39.75 + 3.50 = 43.25 43.25 + 4.00 = 47.25 47.25 + 4.00 = 47.25 47.25 + 4.50 = 51.75 51.75 + 5.00 = 56.75 45. Some politicians may be poets and vice-versa. No poet can be women as women poet is called poetess.
Poets
Δ AIL; Δ DFG; Δ DIK; Δ DBO; Δ GDE; Δ EGH; Δ EGL; Δ EMC; Δ FIJ Δ FBN; Δ JFG; Δ GJK; Δ KGH; Δ IBM; Δ MIJ; Δ JMN; Δ NJK; Δ KNO; Δ OKL; Δ LOC; 47.
324 = 18; 18 + 17 = 35
289 = 17
When p = 124, p + 1 = 124 + 1 = 125
1−
102.
Squaring both sides,
1−
21 + 22 = 43
625 = 25; 400 = 20 25 + 20 = 45
256 = 16; 729 = 27 16 + 27 = 43
x3 9 25 − 9 16 = 1− = = 100 25 25 25
⇒ x3 =
16 × 100 = 64 25
∴ x=
64 = 3 4 × 4 × 4 = 4
48.
49.
Women
8 + 57 + 38 + 108 + 169 =
101. Expression E
D
= 3 p ( p 2 + 3 p + 3) + 1
G
H
= 3 p3 + 3 p 2 + 3 p + 1
46. J
K
L 1 3 3
B
N
M
Q
C
Δ ADE;
= ( p + 1) =
The triangles are:
Δ ABC;
3
103. Let the natural numbers be x and y. ∴ Required sum = 18x + 21 y = 3(6x + 7y) Hence, the sum is divisible by 3. ∴ Required answer = 2007 104. Let teh numbers b x and y and x > y. ∴ xy = 45 ∴ x2 + y2 = (x – y)2 + 2xy = (4)2 + 2 × 45 = 16 + 90 = 106 105. Expression =
50.
I
x3 9 = 100 25
⇒
441 = 21; 484 = 22
A
F
x3 3 = 100 25
Δ AFH;
( p + 1)
=
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3×
1 3
p+1
88+ 57 + 38 + 108 + 13 =
8 + 57 + 38 + 38 + 121 = 8 + 57 + 38 +11 = 8 + 57 + 49 = 8+ 57+7
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=
8+8
=
16
1+
=4
1 1
1+
1 1+ = 5 8
=
106. 14 + 6 5 = 14 + 2 × 3 × 5 =9 + 5 + 2 × 3 × =(3)2 + ( =
1+
5 =
5 )2
(3 +
∴ 14 + 6 5
107.
=
(3 + 5 )
=
3+
231 =
8
=
(2 )
4
5 + 2 = (256)4 ÷ 2
1
=
1+ =
1+
1 1+
1 3+ 2 3
2+ 3 2− 3
1+
1+
1 1+
1
3 5
2 − 3 + 2 + 3
(2 + 3) 2 + (2 − 3) 2 + = (2 − 3)(2 + 3)
( =
=
+
3 +1 3 +1 × 3 −1 3 +1
1 1
13 21 + 13 34 = = 21 21 21
=
1 1+
)
3 +1 3 −1
∴ Expression =
2(4 + 3) 3 + 1 + 2 3 + 4−3 2
Q (a + b) 2 + (a − b)2 =2 a 2 + b 2
(
)
a 3 + b3 a 2 − ab + b 2
=a+b = 0.0347 + 0.9653 = 1 113. Area of the equilateral triangle
3 side2 4
=
= 121 3 =
∴ Side2 =
3 × side2 4
121 3 × 4 = 121 × 4 3
∴ Side = 121 × 4 = 11 × 2 = 22 cm ∴ Total length of wire = 3 × 22 = 66cm If the radius of the circly be r cm, then 2π r = 66
⇒ r=
2 × 22 × r = 66 7
⇒r=
66 × 7 21 = cm 2 × 22 2
2
=14 + 2 + 3 = 16 + 3 1 5+3 111. Given that a * b = 2a + 3b – ab 5 Buy Printed Study Material for SSC Exams: http://sscportal.in/community/study-kit
1+
1 8+5 8
109. 21 = 2; 22 = 4; 23 = 8; 24 = 16; 25 = 32 ∴ Unit’s digit in the producet of (122)173 =Unit’s digit in (122)1 = 2 (1 = remainder when 173 divided by 4). 110. Expression
1 1+
1+
1 1+ 13 +8 = 13
8 13
1+
2
Clearly, the remainder will be 3 when divided by 5. Illustration: 23 ÷ 5 gives remainder = 3 83 ÷ 5 gives remainder = 3 108. Expression
1+
1
1+
=
.....6 = .......3 2
1+
1
5
)2 + 2 × 3 ×
5
1+
∴ 3*5+5*3 = (2 × 3 + 3 × 5 – 3 × 5) + (5 × 2 + 3 × 3 – 5 × 3) =(6 + 15 – 15) + (10 + 9 – 15) = 6 + 4 = 10 112. Let 0.0347 = a and, 0.9653 = b
∴ Area of the circle = π r 2 = =
22 21 21 × × 7 2 2 346.5 cm2
114. Volume of the cone =
=
π × 6 × 6 × 24 cm3 3
1 2 πr h 3
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= Volume of the sphere If the radius of the sphere be r cm, then
4 3 π π r = × 6 × 6 × 24 3 3 ⇒ r3 = 6 × 6 × 6
=
3 5 4 3 + : + 7 8 7 8
=
24 + 35 32 + 21 : 56 56
(C + A)’s 1 days work =
Adding all three, 2(A + B + C)’s 1 day’s work
= 59 : 53 118. Let the son’s present age ∴ r = 6 × 6 × 6 = 6 cm. = x years. ∴ Father’s present age 115. Water supplied by pipe in 1 hour = 3x years = (0.3 × 0.2 × 20 × 1000) After 15 years, cubic meter = 1200 cubic metre 3x + 15 = 2(x + 15) ∴ Total time ⇒ 3x + 15 = 2x + 30 = Volume of water to be filled in the tank ⇒ x = 30 – 15 = 15 ∴ Sum of their present ages 1200 = x + 3x = 4x =4 × 15 = 60 years 200 × 150 × 8 = 119. LCM of 20, 30 and 40 minutes = 1200 120 minutes = 200 hours Hence, the bells will toll together 116. Let the number be 13x and 13y again after 2 hours i.e., at 1 p.m. where x and y are prime to each 120. (A + B)’s 1 day’s work other.
∴ LCM = 13xy ∴ Product of numbers = HCF × LCM ⇒ 2028 = 13 × 13xy
⇒ xy =
2028 = 12 13 × 13
Pairs satisfying the condition = (1, 12), and (3, 4). 117. Let the capacity of each vessel = 1 litre ∴ First Vessel Water =
3 litre 7
4 Milk = litre 7 Second Vessel Water =
Milk =
5 litre 8
3 litre 8
In 2 litres of mixture, Water : milk
=
1 12
=
1 1 1 + + 12 15 20
5 + 4 + 3 12 1 = = 60 60 5 ⇒ (A + B + C)’s 1 day’s work
=
1 10
=
∴ Required answer = 10 days 122. If B alone complete the work in x days, A will do the same in 2x days. ∴ (A + B)’s 1 day’s work =
1 1 2 +1 3 + = = x 2x x 2x
∴ C’s 1 day’s work =
(i)
∴
1 (ii) 15 ∴ Difference between A and C’s 1
⇒ 4x = 3 × 20
=
day’s work
1 1 5−4 5− 4 1 = = = = − 12 15 15 60 60 ⇒ x = 30 ∴B’s 1 day’s work 1 1 − 12 30
=
5− 2 3 1 = = 60 60 20
[From equation (i)]
Hence, B alone will complete the work in 20 days. 121. (A + B)’s 1 day’s work =
1 12
(B + C)’s 1 day’s work =
1 15
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3 4x
3 1 = 4 x 20
(B + C)’s 1 day’s work
=
1 20
⇒ x=
3 × 20 = 15 4
∴ (A + B + C)’s 1 days work =
1 1 3 1 1 1 + + = + + 2 x x 4 x 30 15 20
=
2+ 4+3 9 3 = = 60 60 20
Hence, all three together will complete the work in
20 2 = 6 days. 3 3 123. In the original mixture, water = 60 cc Glycerine = 180 cc Let x cc of water be mixed.
∴
60 + x 2 = 180 3
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⇒ 180 + 3x = 360 ⇒ 3x = 360 – 180 = 180 ∴x=
180 = 60 cc 3
124. Let the original mixture, water = 60 60 cc Let x cc of water be mixed.
A
B
AE =
=
= 89.4 +
700 10 7 = cm 9 3
130. Let the marked price of the article be Rs. x.
∴
⇒
90 x 800 × 112.5 = 100 100 9x 900 × 10 = 900; x = 10 9
= Rs. 1000 131. SP after a discount of 20% =
1500 × 80 = Rs. 1200 100
Second discount = 1200 – 1104, = Rs. 96 If the discount per cent be x% then
9 20
= 89.4 + 0.45 = 89.85 kg 128. Distance covered by wheel in one revolution = circumference of the wheel = π × diameter =
10 2 − 52
2 5 × 10 − 5 = cm 3 3
=
127. Difference in weight = 87 – 78 = 9 kg ∴ Correct average weight
1200 × x = 96 100 9600 =8 ⇒x= 1200
22 × 98 = 308 7
∴ Number of revolutions
132.
2a 2 + 3c 2 + 4e 2 ∴ 2b 2 + 3d 2 + 4 f 2
a c r = = =3 b d f
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(
9 2b 2 + 3d 2 4 f 2
C
25 25 + 675 + 75 = ∴ 9 9
⇒ 74x + 74y = 77.5x + 70y ⇒ 77.5x – 74x = 74y – 70y ⇒ 3.5x = 4y x 4 8 ⇒ y = 35 = 7
E
= 100 − 25 = 75 = 5 3 cm DE = DC – EC
Saving = 15000 – 10500 = Rs. 4500 126. If the number of students in section A be x and that in section B by y, then
77.5 × x + y × 70 74 = x+ y
D
AE ⊥ BC ∴ BE = EC = 5 cm, AC = 10 cm
10 × 10500 =Rs. 15000 7
⇒ a = 3b; c = 3d; e = 3f
2 × 9b2 + 3 × 9d 2 + 4 × 9 f 2 = 2b2 + 3d 2 + 4 f 2
129.
60 + x 2 ∴ 180 = 3 ⇒ 48x + 120 = 45x + 135 ⇒ 48x – 45x = 135 – 120 ⇒ 3x = 15 ⇒ x= 5 ∴Maya’s present age = 6x =6 × 5 = 30 years 125. Income of the family =
1540 × 100 = 500 308
=
=
2b + 3d + 4 f 2
2
) =9
2
133. Area of thefour walls of the room =2 × height (length × breadth) =2 × 3 (4 + 3) = 42 sq. metre Area of ceiling = 4 × 3 = 12 sq. metre ∴ Required area = 42 + 12 = 54 sq. metre 134. Required effect
= 80 − 20 −
80 × 20 % 100
= (60 – 16)% = 44% Positive sign shows increase. 135. Required percentage =
20 × 100 100 + 20
=
20 × 100 100
=
50 2 = 16 % 3 3
136. Let the total number of workers in the factory be x.
∴ x×
60 75 × = 13500 100 100
⇒x =
1350 × 100 × 100 = 3000 60 × 75
137. Time and speed are inversely proportional.
∴
4 of usual time – 3
usual time
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=
= 40 – 2 × 4 = 32 cm Breadth of the box = 15 – 2 × 4 = 7cm Height of the box = 4 cm ∴ Volume of the box = 32 × 7 × 4 = 896 cu. cm.
3 2
⇒
1 3 × usual time = 3 2
∴ Usual time =
3×3 9 = 2 2
142. Ratio = 1 :
1 1 : 3 6
138. Let the CP of 1 orange = Re. 1 ∴ SP or 10 oragnes = Rs. 13
∴ Middle part =
13 − 10 × 100 ∴ Gain percent = 10 = 30% 139. If the CP of ratio be Rs. x, then
=
143.
2 × 78 9
52 1 = 17 3 3
Simple interest 1 = Principal 9
108 480 × 90 of x = 100 100
If the annual rate of interest be r%, then
x × 108 = 432 ⇒ 100
Rate =
⇒x=
432 × 100 = Rs. 400 108
Gain per cent if no discount is allowed
80 × 100 = 400 = 20% 140. If the CP of 20 apples be Rs. x, then
x × 120 = 100 100 100 × 100 250 = Rs. ⇒x= 120 3 250 = 20 apples Q Rs. 3 ∴ Rs. 100 =
20 × 3 × 100 250
= 24 apples 141. Length of the box
S.I. × 100 Principal × Time
1 100 ⇒r= × 9 r
⇒
r2 =
100 9
100 10 1 = =3 % ⇒ r= 9 3 3 144. Difference of two years
r2 =P 10000 400 ⇒ 48 = P 10000
⇒ 48 =
P 25
⇒ P = 48 × 25 = Rs. 1200 145. Let the distance of office be x km.
∴
x x 11 − = 24 30 60
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5 x − 4 x 11 = 120 60
⇒
x 11 = 120 60
⇒x=
=6:2:1 Sum of the ratios = 6 + 2 + 1 = 9
1 = 4 hours 2
⇒
11 × 120 60
= 22 km. 146. Let the principle be Re. 1
R ∴ A = P 1+ 100
T
R ⇒ 8 = 1 1+ 100
3
R 1+ 100
3
⇒
23 =
r ⇒ 2 = 1+ 100
⇒ 24 = 1+
1
r 100
4
∴ Time = 4 years 147. Q 100% = Rs. 25000 ∴ 59% =
25000 × 59 100
= Rs. 14750 148. Required ratio = 15 : 45 =1:3 149. Required percentage =
14 × 100 9
= 156 150. Q360o = 100%
∴ 108O =
100 × 108 360
= 30% Fuel + Education + Others = 9 + 15 + 6 = 30%
SOLVED PAPER SSC COMBINED GRADUATE LEVEL TIER–I EXAM Held On: 08-07-2012 (1st Sitting)
REASONING Directions (1-9): In each of the following questions, select the related letters / words / numbers from the given alternatives. 1. 9 : 80: : 100 : ? (a) 901 (b) 1009 (c) 9889 (d) 9999 2. 25: 125 :: 36 : ? (a) 180 (b) 206 (c) 216 (d) 318 3. 335: 21 6:: 987:? (a) 868 (b) 867 (c) 872 (d) 888 4. BEGK: ADFJ :: PSVY:? (a) ROUX (b) ORUX (c) LQUT (d) LOQT 5. AZBY: CXDW :: EVFU : ? (a) GTHS (b) GHTS (c) GS.TH (d) TGSH 6. BDFH: SUWY :: CEGI : ? (l) QTWZ (b) PTVX (c) JLNP (d) TVXZ 7. food: man:: fuel:? (a) wood (b) fire (c) heat (d) smoke 8. Spiritual: Belief:: Orchestral:? (a) Theatre (b) Situation (c) Music (d) Direction 9. Latter :Former :: Hazardous: ? (a) Risky (b) Comfortable (c) Safe (d) Harmful Directions (10-18): In each of the following questions, find the odd word/ number / letters / number pair from the given alternatives.
10. (a) VWY (b) QRT (c) LMO (d) JKL 11. (a) B E (b) G J (c) N P (d) Q R 12. (a) 400 (b) 484 (c) 625 (d) 729 13. (a) 1000 (b) 1725 (c) 2744 (d) 4096 14. (a) 12-16 (b) 60-80 (c) 30-50 (d) 36-48 15. (a) C X (b) D W (c) J Q (d) L R 16. (a) Cyclotron (b) Basic (c) Pascal (d) Fortran 17. (a) Rooster (b) Buck (c) Gander (d) Peahen 18. (a) Booklet (b) Pamphlet (c) Voucher (d) Brochure 19. Which word will appear third in the dictionary? (a) BALLIUM (b) BALLISTICS (c) BALLERINA (d) BALLISTITE 20. Which word will appear last in the dictionary? (a) laugh (b) latch (c) laurels (d) latitude 21. Arrange the given words in a meaningful order: 1. INFANT 2. ADOLESCENT 3. CHILD 4. OLD 5. ADULT
(a) 3, 1,2,4,5 (b) 1, 3, 2, 5, 4 (c) 3, 2, 4, 5, 1 (d) 5, 4, 3, 2, 1 Directions (22-23) : In each of the following questions, which one set of letters when sequentially placed at the gaps in the given letter series shall complete it ? 22. c _ ab _ ca _ bc _ a (a) bcab (b) abcb (c) bacb (d) cbac 23. _ ba _ bab _ babb _ b (a) baaa (b) abbb (c) babb (d) abab Directions (24-27): In each of the following questions, select the missing number from the given responses. 24. 500, 484, 459, __?__, 374 (a) 384 (b) 432 (c) 418 (d) 423 25. MNOPWXYZRSTUBCD __?__ (a) A (b) E (c) 1 (d) F 26. 60, 69, 85, ___?__ ,146 (a) 110 (b) 117 (c) 109 (d) 120 27. 46, 50, 47, 55, 49, 61, __?__ (a) 54 (b) 52 (c) 57 (d) 51 28. The average age of 25 subordinates in an office is 30 years. If the age of Manager is added, the average age increases to 31 years. What is the age of the Manager?
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29.
30.
31.
32.
33.
34.
35.
36.
(a) 26 (b) 36 (c) 46 (d) 56 Class A has students twice that of class B. After adding 20 students to class A and 30 students to class B, the total number of students in both the classes is 140. What is the number of students in class A in the beginning? (a) 30 (b) 60 (c) 80 (d) 140 Find the lowest number which is divided by 8, 12, 15 and 20 leaves the remainder 2. (a) 360 (b) 242 (c) 122 (d) 82 If B becomes A and P becomes O, what will K become in the English alphabet? (a) L (b) J (c) H (d) N The given word is followed by 4 responses, one of which cannot be formed by using the letters of the word given ‘CAMBRIDGE’. Find out the word. (a) BRIDGE (b) BRIDE (c) CAME (d) CAMP If SEASONAL is written as ESSANOLA, how can SEPA RATE be written in that code? (a) SEAPARET (b) ESPARATE (c) ESPAARTE(d) ESAPARET In certain code, RAGHAVAN is written as GARVAHNA. In that code which word will be written as MATHAVAN? (a) TAMVAHNA (b) TAMVAHAN (c) TAMHAVNA (d) MATVAHNA If ‘FRIEND’ is coded as ‘IULHQG’, how will you code ‘ENEMY’? (a) HQHPB (b) HQHPA (c) HQEMY (d) HQHPG In a coded language, if the word EQUATION is coded as GSWCVKQP, then how is the word DONKEY coded?
(a) FQPMGA (b) YEKNOD (c) GWCVKJ (d) PQKUCW 37. If38 + 15 = 66 and 29 + 36 = 99, then 82 + 44 = ? (a) 77 (b) 88 (c) 80 (d) 94 38. If + means ÷, - means x, x means +, ÷ means –, give the value for 45 + 9 - 3 × 15 ÷ 2 (a) 40 (b) 36 (c) 56 (d) 28 Directions (39-40): In each of the following questions, select the missing number from the given responses. 39. 7 8 6 4 9 5 3 2 ? 25 70 29 (a) 9 (b) 8 (c) 1 (d) 5 40. 3 4 5 6 7 8 9 1 2 57 11 ? (a) 42 (b) 21 (b) 11 (d) 18 41. From the given details, estimate the number of people affected by Tuberculosis in particular locality in the year 1994. 1994 1995 1996 1997 1998 ? 92 113 141 176 (a) 9 9 (b) 8 5 (c) 7 1 (d) 7 8 42. A man started from a place walked towards North for 5 km then turned 90° to his right and walked another 5 km. Then he turned 45° to his right and walked 2 km and turned 45° to his left. What is his direction now? (a) South (b) South East (c) East (d) South West 43. A boy running towards South, turns to his right and runs, Then he turns to his right and finally turns to his left. Towards which direction is he running now? (a) East (b) West (c) South (d) North
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Directions (44-45): In the following questions, one statement is given, followed by two conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements. 44. Statement To keep myself updated, I always listen to 9 O’clock news on radio. Conclusions: I. The person does not read newspaper. II. Recent news is available only on radio. (a) Only conclusion I is implicit (b) Only conclusion II is implicit (c) Neither conclusion I nor II is implicit (d) Both conclusions I and II are implicit 45. Statement All wealthy people are happy in life. Conclusions: I. Wealth and happiness are directly related. II. Wealth leads to happiness in life. (a) Only conclusion I follows (b) Only conclusion II follows (c) Both conclusions I and II follow (d) Neither conclusion I nor II follows Directions: In the following questions, which answer figure will complete the question figure? 46. Question Figure
Answer figure
(a)
(b)
(c)
(d)
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47. From the given answer figures, select the one in which the question figure is hidden! embedded. Question Figure
49. Select the correct option that will be the mirror reflection of the problem figure. Question Figure
50. MATRIX-I 0
Answer Figures
Answer Figures (a)
(a)
(b)
(c)
(d)
Directions: In the following question, a piece of paper is folded and cut as shown below in the question figures. From the given answer figures, indicate how it will appear when opened. 48. Question Figures:
Answer Figures:
(a)
(b)
(c)
(b)
(c)
1
2
3
4
0
P
A
1
I
P
I
V
R
R
A
V
2
A
R
3
V
I
4
R
V
A
5
6
7
8
9
5
S
L
K
M
E
6
K
M
S
E
L
7
M
E
L
K
S
8
L
K
E
S
M
9
E
S
M
L
K
V P
P
I
R
A
I
P
MATRIX· II
(d)
Directions: In the following question, a word is represented by only one set of numbers as given in anyone of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in two matrices given below. The columns and rows of Matrix I are numbered from 0 to 4 and that of Matrix II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g., ‘P’ can be represented by 11, 32, etc. and ‘K’ can be represented by 65, 78, etc. Similarly, you have to identify the set for the word SALM.
(a) (b) (c) (d)
55, 20, 56, 69 79, 13, 69, 75 96, 34, 76, 89 67, 21, 85, 97
(d)
GENERAL 51. Which one of the following is an example for a non-economic good? (a) Doctor’s service (b) Teacher’s service (c) Mother’s service (d) Banker’s service 52. Which one of the following committee is associated with banking sector reforms in India ? (a) L. C. Gupta (b) Narsimhan (c) Chakravarty(d) Kelkar 53. Which one of the following is not a qualitative credit control measure of the RBI? (a) Fixing margin requirements (b) Variable interest rates
AWARENESS
(c) Open market operations (d) Credit rationing 54. The 13th Five Year Plan will be operative for the period (a) 2010 - 2015 (b) 2011 - 2016 (c) 2012 - 2017 (d) 2013 - 2018 55. The national income of a nation is the (a) Government’s annual revenue (b) Sum total of factor incomes (c) Surplus of public sector enterprises (d) Exports minus imports 56. The Constitutional Amendment
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Act that has introduced safeguards against the misuse of proclamation of national emergency is the (a) 42nd Amendment Act (b) 43rd Amendment Act (c) 44th Amendment Act (d) 45th Amendment Act 57. The Fundamental Rights can be suspended by the (a) Governor (b) President (c) Law Minister (d) Prime Minister 58. The main reason for the growth of communalism in India is
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59.
60.
61.
62.
63.
64.
65.
(a) Educational and economic backwardness of minority groups (b) Political consciousness (c) Social inequalities (d) Imposing ban on communal organisations A Retired Judge of a High Court is not permitted to practice as a lawyer in (a) Supreme Court (b) Any Court in India (c) High Courts (d) Except the High Court where he retired Which one of the following does not match? (a) Hindu Marriage Act : 1955 (b) Medical Termination of Pregnancy Act: 1971 (c) Domestic Violence on Women Act: 1990 (d) Cruelty against Women: 1995 Who among the following was the First Viceroy of India ? (a) Lord Ripon (b) Lord Curzon (c) Lord Mountbatten (d) Lord Canning Prithvi Raj Chauhan was defeated in the Second Battle of Tarain by (a) Mahmud Ghazni (b) Muhammad Ghori (c) Qutbuddin Aibak (d) Yalduz The original name of Nana Phadnavis was (a) Mahadaji Sindhia (b) Tukoji Holkar (c) Narayan Rao (d) Balaji Janardan Bhanu Who among the following first propounded the idea of Basic Education? (a) Jawahar Lal Nehru (b) Raja Ram Mohan Roy (c) Mahatma Gandhi (d) Dayanand Saraswati Arrange the following in chronological order:
66.
67.
68.
69.
70.
71.
I. Dandi March II. Simon Commission III. Poona Pact IV. Gandhi Irwin Pact (a) II, I, III, IV (b) II, I, IV, III (c) IV, III, I, II (d) IV, III, II I Which one of the following is not correctly matched? (a) Darjeeling - West Bengal (b) Mount Abu - Rajasthan (c) Kodaikanal - Tamil Nadu (d) Simla - Uttar Pradesh The earth is at its maximum distance from the Sun on (a) January 30th (b) December 22nd (c) September 22nd (d) July 4th Consider the following pairs; Tributary Main Piver 1. Chambal Yamuna 2. Sone Narmada 3. Manas Brahmputra Which one of the pairs given above is/are correctly matched? (a) 1, 2 and 3 (b) 1 and 2 only (c) 2 and 3 only (d) Only 3 A form of condensation that reduces visibility and causes breathing problems is (a) Dew (b) Frost (c) Smog (d) Mist The total population divided by available arable land area is referred to as (a) Population density (b) Nutritional density (c) Agricultural density (d) Industrial density Green glands are associated with (a) Reproduction (b) Excretion (c) Respiration (d) Digestion
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72. During respiration, the gases enter into the blood and leave the same by the process of (a) Active transport (b) Diffusion (c) Diffusion and active transport (d) Osmosis 73. Heart is devoid of (a) Cardiac muscle (b) Involuntary muscle (c) Voluntary muscle (d) Smooth muscle 74. The soil salinity is measured by (a) Conductivity meter (b) Hygrometer (c) Psychrometer (d) Auxanometer 75. Which of the following is a fungal disease? (a) Leucoderma (b) Eczema (c) Ringworm (d) Elephantiasis 76. Chickenpox is caused by (a) DNA virus (b) Variola virus (c) Streptococcus (d) Vi rio cholerae 77. Instruments can be shielded from outside magnetic effects by surrounding them with (a) Iron shield (b) Rubber shield (c) Brass shield (d) Glass shield 78. Find the odd one. (a) Marble (b) Blackboard (c) Chalk (d) Slaked lime 79. The following is a pseudo-force (a) Centrepetal force (b) Centrifugal reaction force (c) Centrifugal force (d) Strong nuclear force 80. The hydraulic brake used in automobiles is a direct application of (a) Archimedes principle (b) Torricellean law (c) Bernoulli’s Theorem (d) Pascal’s law
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81. Of the following, which is the fastest? (a) CD-ROM (b) RAM (c) Registers (d) Cache 82. An alternate name for the completely interconnected network topology is (a) Mesh (b) Star (c) Tree (d) Ring 83. Amides can be converted to amines by the reaction named (a) Perkin (b) Claisen (c) Claisen (d) Clemmesen 84. The base used as an antacid is (a) Calcium hydroxide (b) Barium hydroxide (c) Magnesium hydroxide (d) Silver hydroxide 85. A process which is not helpful in the prevention of rusting of iron is (a) annealing (b) applying grease (c) galvanising (d) painting 86. Denatured alcohol (a) is a form of alcohol (b) is unfit for drinking as it contains poisonous substances (c) contains coloured impurities (d) is sweet’ to taste 87. Phenolics as pollutants can be removed from waste water by u s e of (a) Ion exchange resin technique (b) Electrolyte decomposition technique (c) Reverse osmosis method (d) Polymeric adsorbents 88. The stability of a pond ecosystem depends on (a) micro-organisms and fishes (b) micro-organisms and zoo planktons (c) fishes and reptiles (d) producers and consumers
89. Supersonic air planes create a shock wave called (a) Transition wave (b) Ultrasound (c) Transverse wave (d) Sonic boom 90. The main factor which determines balance of nature is (a) human activities (b) Rabit and habitat (c) environmental conditions (d) availability of food 91. The danger signals are red while the eye is more sensitive to yellow because (a) absorption in red is less than yellow and hence red is visi ble from a distance (b) scattering in yellow light is less than red (c) the wavelength of red light is more than yellow light (d) none of the above reasons 92. One of the following Chief Ministers received the Highest Civilian Award “Bharat Ratna” (a) Lalu Prasad Yadav of Bihar (b) Late M. G. Ramachandran of Tamil Nadu (c) Jyothi Basu of West Bengal (d) Late N. T. Rama Rao of Andhra Pradesh 93. The first ‘disabled athelete’ to qualify for an able bodied event in the 2012 London Olympics in 400 metres race is (a) Oscar Pistorius (b) Walter Rallis (c) Raymond Irchovich (d) Gerald Hangovin 94. Which one of the following film actors has been conferred the Honorary Doctorate in Arts and Culture by the Bedford University, London? (a) Shahrukh Khan (b) Amir Khan
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95.
96.
97.
98.
99.
100.
(c) Saif Ali Khan (d) Anil Kapoor The city of Prayag was named Allahabad -the city of Allah by (a) Aurangzeb (b) Akbar (c) Shahjehan (d) Bahadur Shah Zafar Spot the odd one from the following: (a) Tsunami (b) Earthquakes (c) Windmills (d) Cyclones Who among the following has won the Pantaloon’s Femina Miss India World, 2012 Award? (a) Prachi Misra (b) Vanya Misra (c) RocheIla Maria (d) Sandhya Agarwal Which one of the following statements is not correct about India’s population as per the 2011 census? (a) Literacy rate has gone up to 74% from 65% (b) Kerala has the highest literacy rate (c) Bihar has the lowest literacy rate (d) Men outnumber women in growth of literates Who advocated the adoption of ‘PURA’ model to eradicate rural poverty ? (a) Dr. A. P. J. Abdul Kalam (b) Sri Abhijit Sen (c) Maulana Abdul Kalam Azad (d) Prof. A. M. Patha Which one of the following though called a garden is infact, not a garden? (a) Vrindavan Garden of My sore (b) Hanging Garden of Mumbai (c) Eden Garden of Kolkata (d) Shalimar Garden of Kashmir
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QUANTITATIVE APTITUDE 101. The next term of the series 1, 5, 12 24, 43 is (a) 51 (b) 62 (c) 71 (d) 78 102. The least multiple of 13 which when divided by 4, 5, 6, 7 leaves remainder 3 in each case is (a) 3780 (b) 3783 (c) 2520 (d) 2522 103. The simplest value of 1 + 2 + 3
1 + 3 + 4
1 1 + is 4 + 5 5 + 6
(a)
3 ( 2 − 1)
(b)
2 ( 3 − 1)
(c) 3 − 1 (d) 2 −1 104. A and B are partners in a business. A contributes
1 of the capital for 4
2 of 3 the profit. Find for how long B’s money was used? (a) 6 months (b) 8 months (c) 10 months (d) 12 months 105. If 21 is added to a number, it becomes 7 less than thrice of the number. Then the number is (a) 14 (b) 16 (c) 18 (d) 19 106. Two men A and B started a job in which A was thrice as good as B and therefore took 60 days less than B to finish the job. How many days will they take to finish the job, if they take to finish the job, if they start working together? (a) 15 days (b) 20 days
15 months and B received
(c) 2 2
1 days(d) 25 days 2
107. A rectangle garden is 100 m × 80 m. There is a path along the garden and just outside it. Width of the path is 10m. The area of the path is (a) 1900 sq m (b) 2400 sq m (c) 3660 sq m (d) 4000 sq m 108. A dealer offered a machines for sale for Rs. 27,500 but even if he had charge 10% less, the would have made a profit of 10%. The actual cost of the machine is (a) Rs. 22000 (b) Rs. 24500 (c) Rs. 22500 (d) Rs. 22275 109. An employer reduces the number of employees in the ratio 8 : 5 and increases their wages in the ratio 7 : 9. As a result, the overall wages bill is (a) Increased in the ration 56 : 69 (b) Decreased in the ratio 56 : 45 (c) Increased in the ratio 13 : 17 (d) Decreased in the ratio 17 : 13 110. The average age of a jury of 5 is 40. If a member aged 35 resigns and man aged 35 resigns and a man aged becomes a member, then the average age of the new jury is (a) 30 (b) 38 (c) 40 (d) 42 111. With average speed of 40 km/ hour, a train reaches its destination in time. If it goes with an average speed of 35 km hour, it is late by 15 minutes. The total journey is (a) 30 km (b) 40 km (c) 70 km (d) 80 km 112. A man makes a profit of 20% on the sale by selling 20 articles for Rs. 1. The number of articles he bought by Rs. 1 is (a) 20 (b) 24 (c) 25 (d) 30 113. The number of seats in an auditorium is increased by 25%. The price of a ticket is also
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increased by 12%. Then the increase in revenue collection will be (a) 40% (b) 35% (c) 45% (d) 48% 114. A ship is moving at a speed of 30 km/hr. To know the depth of the ocean beneath it, it sends a radio wave which travels at a speed 200 m/s. The ship receives the signal after it has moved 500 m. The depth of the ocean is (a)
143 km (b) 12 km 2
(c) 6 km (d) 8 km 115. A person takes a loan of Rs. 10,0000 partly from a bank at 8% p.a. and remaining from another bank at 10% p.a. He pays a total interest of Rs. 950 per annum. Amount of loan taken from the first bank (in Rs.) is (a) 2500 (b) 5200 (c) 2050 (d) 5020 2 116. If a +
1 a2
= 98(a > 0), then the
3 value of a +
1
will be a3 (a) 535 (b) 1030 (c) 790 (d) 970 117. If x = 1 + 2 + 3 , then the value of (2x4 – 8x3 – 5x2 + 26 x – 28) is (a) 6 6 (b) 0 (c) 3 6 (d) 2 6 118. If the distance between two point (0, -5) and (x, 0) is 13 unit, then x = (a) 10 (b) ± 10 (c) 12 (d) ± 12 119. If 4x = 18y, then the value of x − 1 is y
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(a)
1 3
120. If x +
(b)
2 7 (c) 3 2
(d)
3 2
1 = 5, then the value of x
1 x 2 is 2 x − 3x +1 (a) 70 (b) 50 (c) 110 (d) 55 x4 +
121.If x = 2 +
3 ,y=2-
value of (a)
x2 +y2 x3 +y3
7 38
(b)
(b)
140 sq. unit 13 (d) 10 sq. unit 126. If an obtuse-angled triangle ABC, ∠A is the obtuse angle and O is the orthocenter. If ∠B OC = 54°, (c)
3 , then the 127.
is 7 40
7 7 (c) (d) 19 26 122. If a2 + b2 + c2 = 2 (a – b – c) – 3 then the value of 2a – 3b + 4c is (a) 3 (b) 1 (c) 2 (d) 4
128.
129.
1 123. If 2 x − = 6, then the value of 2x x2 +
130.
1 is 16 x 2
(a)
19 2
(b)
17 2
(c)
18 3
(d)
15 2
124. If 5 a + 9a 2 + (a)
34 5
1 = 5, the value of 3a
131.
1 2 5a 2
is (b)
39 5
42 52 (d) 5 5 125. The area of the triangle formed by the line 5x + 7y = 35, 4x + 3y = 12 and x-axis is
150 sq. unit 13
then ∠B AC is (a) 108° (b) 126° (c) 136° (d) 116° If the ratio of areas of two similar triangles is 9 : 16, then the ratio of their corresponding sides is (a) 3 : 5 (b) 3 : 4(c) 4 : 5 (d) 4 : 3 Let BE and CF be the two medians of a ∆AB C and G be their intersection. Also let EF cut AG at O. Then AO : OG is (a) 1 : 1 (b) 1 : 2(c) 2 : 1 (d) 3 : 1 If S is the circumcentre of ∆AB C and ∠A = 50°, then the value of ∠B CS is (a) 20° (b) 40° (c) 60° (d) 80° AC and BC are two equal cords of a circle. BA is produced to any point P and CP, when joined cuts the circle at T. Then (a) CT : TP = AB : CA (b) CT : TP = CA : AB (c) CT : CB = CA : CP (d) CT : CB =CP : CA PQ is a direct common tangent of two circle of radii r 1 and r 2 touching each other externally at A. Then the value of PQ2 is (a) r1r2 (b) 2 r1r2 (c) 3 r1r2 (d) 4r1r2
∠OB C ? (a) 120° (b) 60° (c) 90° (d) 180° 133. Two circles with radii 5cm and 8 cm touch each other externally at a point A. If a straight line through the point A cuts the circles at points P and Q respectively, the AP : AQ is (a) 8 : 5 (b) 5 : 8 (c) 3 : 4 (d) 4 : 5 134. If I is the In-centre of ∆AB C and
2
(b)
1 2
(c) 1 (d) 0 138. If 5 tan θ = 4, then the value of 5sin θ - 3cosθ is 5sin θ + 3cos θ
(c)
(a)
BC is the chord of a circle with centre O. A is a point on major are BC as shown in the above figure. What is the value of ∠B AC +
132.
160 sq. unit 13
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(a)
1 7
(b)
2 7
(c)
5 7
(d)
2 5
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139. The least value of 4sec2 θ + 9cosec2 θ ) is (a) 1 (b) 19 (c) 25 (d) 7 140. If tan (x + y) tan (x – y) = 1, then 2x the value of tan is 3 (a)
1 3
(b)
2 3
(c)
(d) 1 3 141. If x = cosec θ - sin θ and y = sec θ - cos θ , then the value of x2y2 (x2 + y2 + 3) is (a) 0 (b) 1 (c) 2 (d) 3 π , 2y cos θ = sin θ 2 and 2x sec θ - y cosec θ = 3, then the value of x2 + 4y2 is (a) 1 (b) 2 (c) 3 (d) 4 143. When the angle of elevation of the sun increases from 30° to 60°, the shadow of a post is diminished by 5 metres. Then the height of the post is 142. If 0 ≤ θ ≤
(a)
5 3 m 2
(b)
2 3 m 2
(c)
2
m
(d)
4
m
5 3 5 3 144.A rail road curve is to be laid out on a circle. What radius should be used if the track is to change direction by 25° in a distance of 40 metres? (a) 91.64 metres(b) 90.46 metres (c) 89.64 metres(d) 93.64 metres 145. If sin θ + sin 2 θ = 1, then the value of cos 12 θ + 3cos 10 θ + cos6 θ - 1 is (a) 0 (b) 1 (c) -1 (d) 2 Directions (146-150): Population of the five adjacent areas of a town, in the year of 2020, are represented in the following Pie-chart. The ratio of the numbers of males to that of females in these areas are states in the table below. The total of the population in all the five areas is 72 lakh. Study the Pie-chart and the table and then answer the questions. FIGURE Ratio of number of males (M) to females (F) Ar e as S1 S2 S3 Ratio M:F 3 : 2 4 : 1 7 : 3
S4 2:3
S5 13 : 7
146. 12 lakh in the population of the area
147.
148.
149.
150.
(a) S1 (b) S3 (c) S5 (d) S4 The number of males in the areas S1 and S4 together is (a) 13.8 lakh (b) 8.2 lakh (c) 16.2 lakh (d) 15.8 lakh The ratio of number of females in the areas S2 in the areas S5 is (a) 7 : 9 (b) 36 : 13 (c) 9 : 7 (d) 13 : 36 If, in the year 2010, there was an increase of 5% population in the areas S 1 and 8% increase in population of the area S 3 compared to the previous year, then the ratio of population in the areas S1 and S2, in the year 2009 was (a) 3 : 10 (b) 27 : 10 (c) 27 : 70 (d) 10 : 3 The average of female population in all the five areas is lower than the female population in each of the areas (a) S1 and S2 (b) S2 and S5 (c) S2 and S4 (d) S4 and S5
ENGLISH COMPREHENSION Directions (151-155): In the following questions, some parts of the sentences have errors and some have none, Find out which part of a sentence has an error. The number of that part is your answer. If there is no error then your answer is (d) i.e. No error. 151. Air pollution, together with littering. (a)/ are causing many problems(b)/ Vin our cities. (c)/ No error (d) 152. The accused refused (a)/ to answer to the policeman (b)/ on duty.(c)/No error (d).
153. What is (a)/ the use of me (b)/ attending the session? (c)/ No error (d) 154. We met our prospective employer (a) // for a briefing session(b) / in the Taj Hotel. (c) / No error (d). 155. Because of the severe snow storm and the road blocks, (a)/ the air force dropped food and (b)/ medical supplies close to the city. (c) No error (d) Directions (156-160): In the following questions, sentences are given with
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blanks to be filled in with an appropriate word(s). Four alternatives are suggested for each question. Choose the correct alternative out of the four as your answer. 156. ______ pollution control measures are expensive, many industries hesitate to adopt them. (a) Although (b) However (c) Because (d) Despite 157. It is not for a man to be confined to the pursuit of wealth.
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(a) healthy (b) easy (c) possible (d) common 158. ___ his being innocent of the crime, the judge sentenced him to one year imprisonment. (a) Inspite of (b) In case of (c) On account of (d) In the event of 159. It is a story of two men and a batch of armoured cars. (a) deceased (b) diseased (c) decrepit (d) defeated 160. Although there is ________ gunfire, there is no stiff resistance to the revolutionary army, (a) bitter (b) meagre (c) continuous (d) sporadic Directions (161-165): In the following questions, out of the four alternatives, choose the one which best expresses the meaning of the given ‘word as your answer. 161. Vociferous (a) violent (b) (c) secret (d) 162. Fictional (a) genuine (b) (c) fanciful (d) 163. Trivial (a) crucial (b) (c) vital (d) 164. Impudent (a) Vigilant (b) (c) Insolent (d) 165. Pompous (a) Pretentious (b) (c) Demanding (d)
loud true authentic real significant ordinary Astute Arrogant Supportive Flashy
Directions (166·170) : In the following questions, choose the word opposite in meaning to the given word as your answer. 166. Cultivated (a) Crude (c) Suave 167. Impertinent (a) Insolent (c) Cheeky 168. Divulge
(b) Genteel (d) Refined (b) Impudent (d) Courteous
(a) Disseminate (b) Dissemble (c) Publicize (d) 169. Appreciation (a) Aspersion (b) (c) Commendation (d) Compliment 170. Supple (a) Pliant (b) (c) Rigid (d)
Transmit Admiration
Pliable Flexible
Directions (171-175): In the following questions’, four alternatives are given for the idiom/phrase and bold italicised in the sentence. Choose the alternative which best expresses the meaning of the idiom/phrase as your answer. 171. Once the case reached the court, the police washed their hands off it. (a) waited for a response to (b) claimed credit for (c) disassociated themselves from (d) seemed eager to continue 172. She wanted to go hitch-hiking but her mother put her foot down and now she’s ‘going by bus. (a) took a firm stand (b) expressed her displeasure (c) scolded her badly (d) got irritated 173. Adolescence is a period of halo cyan days. (a) hard days (b) of mental pressure (c) happy days (d) days of preparation 174. My sincere advice to my maidservant fell on stony ground. (a) was counter productive (b) had a strong impact (c) made one stubborn (d) had little success 175. He has all his ducks in a row, he is complacent. (a) has everything ready (b) is wall organised (c) always scores a zero (d) never gets confused Directions (176-180): In the following questions, a part of the sentence is
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printed in bold. Below are given alternatives to the bold part at (a), (b) and (c) which may improve the sentence. Choose the correct alternative. In case no improvement is needed your answer is (d). 176. You shall have attended if the court had instructed you to do so. (a) would have had to attend (b) would attend (c) would have to (d) No improvement 177. The relics of Greece over which such a great deal of evidence has been collected should be preserved. (a) from which (b) on which (c) ascent which (d) No improvement 178. When the beverage was ready, they drank possibly as much as they could. (a) as much as they possibly could (b) as much as possibly they could (c) as much as they could possibly (d) No improvement 179. A citizen is expected to give allegiance to his country of origin. (a) homage (b) loyalty (c) obedience (d) No improvement 180. We were with daggers drawn despite attempts to understand each other; (a) in (b) on (c) at (d) No improvement Directions (181-185): In the following questions, out of the four alternatives. choose the one which can be substituted for the given words/ sentence. 181. A round or cylindrical container used storing things such as food, chemicals or rolls of film
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(a) tankard (b) vessel (c) canister (d) casket 182. A place of permanent residence (a) abode (b) dormitory (c) domicile (d) apartment 183. That cannot be altered or withdrawn (1 ) irrevocable (b) irretrievable (c) irrefutable (d) irresistible 184. Money paid to employees on retirement (a) gratuity (b) gift (c) pension (d) arrears 185. A place where clothes are kept (a) closet (b) drawer (c) wardrobe (d) cupboard Directions (186-190): In the following questions four words are given in each question, out of which only one word is correctly spelt. Find the correctly spelt word as your answer. 186. (a) garulous (b) garrulous (c) garullous (d) garrullous 187. (a) marquee (b) markue (c) marnuei (d) marquie 188. (1 ) puissant (b) puiscant (c) puiscent (d) puissent 189. (a) disconncerting (b) disconserting (c) discuncerting(d) disconcerting 190. (a) exilarate (b) exsilerate (c) exsilarate (d) exhilarate Directions (191-200): In the following questions, you have two brief passages with 5 questions in each passage, Read the passages carefully and choose the best answer to each question out of the four alternatives. PASSAGE –I (Question Nos. 191 to 195) Stuck with be development dilemma? Stay away from management courses. Seriously, one of the biggest complaints that organisations have about management courses is that they fail to impact the participants’ on-the-job behaviour. Some management trainers stress the need for follow-up and reinforcement on the job. Some go so far as briefing the participants’ managers on
what behaviour they should be reinforcing back on the job. Others include a follow-up training day to review the progress of the participants. None of this is really going far enough. The real problem is that course promoters view development as something which primarily, takes place in a classroom. A course is an event and events are, by definition limited in time. When you talk about follow-up after a course, it is seen as a nice idea, but not as an essential part of the participants’ development programme. Any rational, empowered individual should be able to take what has been learnt in a course and transfer it to the work place or so the argument goes. Another negative aspect of the course mindset is that, primarily, development is thought to be about skillacquisition. So, it is felt that the distinction between taking the course and behaving differently in the work place parallels the distinction between skill-acquisition and skill-application. But can such a sharp distinction be maintained ? Skills are really acquired only in the context of applying them on the job, finding them effective and therefore, reinforcing them. The problem with courses is that they are events, while development is an on-going process which, involves, within a complex environment, continual interaction, regular feedback and adjustment. As we tend to equate development with a one-off event, it is difficult to get seriously motivated about the follow-up. Anyone paying for a course tends to look at follow-up as an unnecessary and rather costly frill. 191. What is the passage about? (a) personal management (b) development dilemma (c) management courses (d) course promoters’ attitude 192. Which of the following statements is false? (a) Some management trainers stress the need for follow-up and reinforcement on the job
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(b) Some suggest a follow-up training day to review the progress of the participants (c) Some go to the extent of briefing the participants’ managers on what behaviour they should be reinforcing back on the job (d) The real problem is that course promoters view development as ‘something which does not take place during a course 193. The writer’s attitude, as reflected in the passage, is (a) critical (b) ironic (c) sympathetic (d) philosophical 194. The course promoters’ attitude is (a) self-righteous (b) indifferent (c) easy-going (d) unprogressive 195. The words ‘mindset’ here means (a) determined mind (b) a (fixed) attitude of mind (c) an open mind(d) mindful PASSAGE II (Question Nos. 196 to 200) One may look at life, events, society, history, in another way. A way which might, at a stretch, be described as the Gandhian way, though it may be from times before Mahatma Gandhi came on the scene. The Gandhian reaction to all the grim poverty, squalor and degradation of the human being would approximate to effort at self-change and self-improvement, to a regime of living regulated by discipline from within. To change society, the individual must first change himself. In this way of looking at life and society, words too begin to mean differently. Revolution, for instance, is a term frequently used, but not always in the sense it has been in the lexicon of the militant. So also with words like peace and struggle. Even society may mean differently, being some kind of organic entity for the militant, and more or less a sum of individuals for the
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Gandhian. There is yet another way, which might, for want of a better description, be called the mystic. The mystic’s perspective measures these concerns that transcend political ambition and the dynamism of the reformer, whether he be militant or Gandhian. The mystic measures the terror of not knowing the remorseless march of time; he seeks to know what was before birth, what comes after death. The continuous presence of death, of the consciousness of death, sets his priorities. and values: militants and Gandhians kings and prophets must leave all that they have built; all that they have un-built and depart when messengers of the buffalo-riding Yama come out of the shadows. Water will to water, dust to dust. Think of impermanence. Everything passes.
196. The Gandhian reaction to poverty is (a) a total war on poverty (b) self-discipline (c) self-abnegation (d) a regulated distribution of wealth 197. According to Gandhianism, the individual who wants to change society (a) should destroy the existing society (b) must re-form society (c) must change himself (d) may change society without changing himself 198. Who, according to the passage, finds new meaning for words like revolutions, peace and struggle? (a) A Gandhian who believes in nonviolent revolution
(b) A militant (c) A mystic (d) A Gandhian who disciplines himself from within 199. The expression ‘water will to water, dust to dust’ means (a) water and dust can mix well (b) man will become water after death (c) man will one day die and become dust (d) man will become dust and water after death 200. What does society mean to a Gandhian? (a) a sum of individuals (b) an organic entity (c) a regime of living regulated by discipline from within (d) a disciplined social community
ANSWERS 1.(d) 11. (a) 21. (b) 31. (b) 41. (d) 51. (c) 61. (d) 71. (b) 81. (c) 91. (a) 101. (c) 111. (c) 121. (d) 131. (d) 141. (b) 151. (b) 161. (b) 171. (c) 181. (b) 191. (b)
2.(c) 12. (d) 22. (c) 32. (d) 42. (c) 52. (b) 62. (b) 72. (b) 82. (a) 92. (b) 102.(b) 112. (b) 122. (b) 132. (c) 142. (d) 152. (b) 162. (c) 172. (a) 182. (a) 192. (d)
3. (a) 13. (b) 23. (b) 33. (d) 43. (b) 53. (c) 63. (d) 73. (c) 83. (c) 93. (a) 103. (b) 113. (a) 123. (a) 133. (b) 143. (a) 153. (b) 163.(d) 173. (c) 183. (a) 193. (a)
4.(b) 14. (c) 24. (d) 34. (a) 44. (c) 54. (*) 64. (c) 74. (a) 84. (c) 94. (a) 104. (c) 114. (a) 124. (b) 134. (b) 144. (a) 154. (b) 164. (c) 174.(d) 184. (a) 194. (d)
5. (a) 15. (d) 25. (b) 35. (a) 45. (c) 55. (b) 65. (b) 75. (c) 85. (a) 95. (b) 105. (a) 115. (a) 125. (a) 135. (a) 145. (a) 155. (a) 165. (a) 175. (b) 185. (c) 195. (b)
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6. (d) 16. (a) 26. (a) 36. (a) 46. (c) 56. (c) 66. (d) 76. (b) 86. (b) 96. (c) 106. (c) 116. (d) 126. (b) 136. (c) 146. (c) 156. (c) 166. (a) 176.(a) 186. (b) 196. (b)
7. (c) 17. (b) 27. (b) 37. (c) 47. (c) 57. (b) 67. (d) 77. (a) 87. (d) 97. (b) 107. (d) 117. (a) 127. (b) 137. (a) 147. (a) 157. (c) 167. (d) 177. (b) 187. (a) 197. (c)
8. (c) 18. (c) 28. (d) 38. (d) 48. (d) 58. (a) 68. (a) 78.(a) 88. (d) 98. (d) 108. (c) 118. (c) 128. (c) 138. (a) 148. (c) 158. (a) 168. (b) 178. (a) 188. (a) 198. (d)
9. (c) 19. (d) 29. (b) 39. (c) 49. (b) 59. (d) 69. (c) 79. (c) 89. (d) 99. (a) 109. (b) 119. (b) 129. (b) 139. (*) 149. (*) 159. (c) 169. (a) 179. (b) 189. (d) 199. (d)
10. (d) 20. (c) 30. (c) 40. (b) 50. (b) 60. (c) 70. (a) 80. (d) 90. (c) 100. (c) 110. (b) 120. (d) 130. (c) 140. (a) 150. (c) 160. (d) 170. (c) 180. (c) 190. (d) 200. (a)
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EXPLANATIONS 1. The relationship between the number is x : (x2 - 1) (9)2 - 1 = 81 - 1 = 80 (100)2 - 1 = 10000 - 1 = 9999 2. The relationship between the number is: x2 : x3 (5)2= 25; (5)2= 5 (6)2= 36; (5)6= 216 3. The relationship between the number is: x : x - 119 335 - 119 = 216 987 - 119 = 868
Hazardous and Safe antonymous to each other.
But
11.
4. 13.
14. 5. Pairs of consecutive opposite letters are given: AZ, BY; CX, DW; EV, FU; GT, HS 6. 15.
16. 7. Food is necessary for man. Similarly, fuel is necessary to produce heat. 8. Spiritual and Belief are interrelated terms. Similarly, Orchestral and music are related. 9. Latter and Former are antonymous to each other. Similarly,
17. 18.
19.
C. BALLERINA
↓ B. BALLISTICS ↓ D. BALLISTITE
10.
12.
Similarly
are
In letter group BE, one is cosonant and the other is a vowel. Except the number 729, all other are perfect squares. 400 = 20 × 20; 484 = 22 × 22; 625 = 25 × 25 But, 729 = 9 × 9 × 9 Except the number 1725, all other numbers are completely divisible by 4. The number 1725 is completely divisible by 5. Except the number pair 30 - 50, all other numbers pairs follow the pattern : x × 3 - x × 4 4 × 3 = 12, 4 × 4 =16 20 × 3 = 60; 20 × 4 = 80 12 × 3 = 36; 12 × 4 = 48 But, 10 × 3 = 30; 10 × 5 = 50 Except LR, all other pairs are of Opposite Letters. C ↔ X : D ↔ W: J↔ Q L ↔ O (Not R) Except Cyclotron, all other are languages of computer. Rooster, Gander and Peahen are birds. Buck is an animal. Except Voucher, all other are small book containing information on a specific subject. Arrangeement of words as per dictionary:
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↓ A. BALLIUM 20. Arrangement of words as per dictionary: B. Latch ↓ D. Latitude ↓ A. Laugh ↓ C. Laurels 21. Meaningful order of words: A. Infant ↓ C. Child ↓ B. Adolescent ↓ E. Adult
↓ 4. Old 22. c b a / b a c / a c b / c b a 23. a b / a b b / a b b b / a bb b b 24. 500 - (4)2 = 484 484 - (5)2 = 459 459 - (6)2 = 4 2 3 423 - (7)2 = 374 +2 25. M N O P → R S TU +2 W X Y Z → B CD E
26. 60 + (3)2 = 69
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69 + (4)2 = 85
Therefore,
Third Column 5+8×2
5+ (5)2 = 1 1 0
⇒ 5 + 16 = 2 1
110 + (6)2 = 146
27.
34.
46
Similarly, 28. Age of Manager = New Average Age + (No. of Subordinates × Change in Average) = 31 + (25 × 1) = 56 years 29. Suppose, in the beginning the number of students in Class B = a Therefore, the number of students in Class A = 2a Now, 2a + 20 + a + 30 = 140 ⇒ 3a = 140 - 50 ∴a=
42. 36.
Similarly, 43.
90 = 30 3
Number of students in Class A = 2a = 2 × 30 = 60 30. LCM of 8, 12, 15 and 20
∴ LCM = 2 × 2 × 3 × 5 × 2 = 120 Since the remainder to be left is 2, the number can be given by 120K + 2, where K is a positive integer 120 × 1 + 2 = 122 (K = 1) −1 31. B → A −1
P → O −1 K → J
32. There is no ‘P’ letter in the given word. 33.
41. 78 + 14 = 92 72 + 21 = 113 113 + 28 = 141 141 + 35 = 176
37. (3 + 8) × (1 + 6) ⇒ 11 × 6 = 66 (2 + 9) × (3 + 6) ⇒ 11 × 9 = 99 Similarly, (8 + 2) × (4 + 4)
⇒ 10 × 8 = 8 0 38. 45 + 9 - 3 × 15 ÷ 2 ⇒ ? = 45 ÷ 3 × 15 - 2 ⇒ ? = 5 × 3 + 15 - 2 ⇒ ? = 30 - 2 = 2 8 39. First Column 7 × 4 - 3 = 28 - 3 = 25 Second Column 8 × 9 - 2 = 72 - 2 = 70 Third Column 6 × 5 - ? = 29
⇒ ? = 30 - 29 = 1 40. First Column 3 + 6 × 9 = 3 + 54 = 57 Second Column 4 + 7 × 1 = 4 + 7 = 11
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44. Neither Conclusion I nor Conclusion II follows. The person always listens to 9 O’clock news on radio to keep himself upadated. This does not imply that he does not read newspaper. The use of term ‘only’ in the Conclusion II makes it unsuitable. 45. Clearly both the conclusions follow. If all wealthy people are happy in life, then it can be said that wealth and happiness are directly related. 50. S ⇒ 55, 67, 79, 88, 96 A ⇒ 01, 13, 20, 34, 42 L ⇒ 56, 69, 77, 85, 98 M ⇒ 58, 66, 75, 89, 97 Option S A (a) 55 20 (b) 79 13 (c) 96 34 (d) 67 21 101.The pattern is 1+4=5 5 + 7 (= 4 + 3) = 12
L 56 69 76 85
M 59 75 89 97
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12 + 12 (= 7 + 5) = 24 24 + 19 (= 12 + 7) = 43
=
43 + 28 (=19 + 9) = 71 102. LCM of 4, 5, 6 and 7 = 420 ∴ Required number = 420k + 3 which is exactly divisible by 13. = 32 × 13k + 4k + 3 Hence, 4k + 3 should be divisible by 13 for some value of k For k = 9, 4k + 3 = 39 which is divisible by 13. ∴ Required number = 420 × 9 + 3 = 3783 1
103.
2 + 3 1
=
3 + 2
=
3 − 2 3 −2
=
3 − 2
∴
1 4 + 3 1 4 + 5
3 − 2
×
3 − 2
1 2
x ×1 5 4 15 1 1 = = ⇒ 3x ⇒ 3n 2 2 ×n 4
⇒ n = 10 months 105. If the number is x, then x + 21 = 3x - 7 ⇒ 3x - x = 21 + 7 ⇒ 2x = 28 ⇒ x = 14 106. If time taken by A is x days, then time taken by B = 3x days \ 3x - x = 60 ⇒ 2x - 60 ⇒ x = 30 Time taken by B = 90 days \ (A + B)’s 1 days’ work 1 1 3 +1 4 + = = = 30 90 90 90
=
2 = 45
4 − 3 ;
\ The work will be completed in 45 1 i.e., 2 2 days. 2 2
5 − 4;
=
1 = 6 − 5 5 + 6 ∴ Expression = 3− 2 + 4 − 3 + 5 − 4 + 6 − 5
(
3 −1
)
104. A’s profit : B’s profit =
1 2 : =1:2 3 3
A's equ ivlen t ca p it a l ∴ B's equ iva len t ca p ita l
110 27500 × 90 = 100 100
⇒
1 1x = 275 × 90 10
275 × 900 = Rs. 22500 11 109. Required ratio = 8 × 7 : 5 × 9 = 56 : 45 110. Required average
⇒x=
=
40 × 5 − 35 + 25 5
=
190 = 38 years 5
111. If the total length of journey is x km, then x x x − = 35 40 60
⇒
8x − 7x 1 = 280 4
x 1 ⇒ 280 = 4
1 ×280 = 70 km 4 112. C.P. of 20 articles
⇒x=
=
100 5 = Re. 120 6
∴ Number of articles bought for Re. 1 107.
= 6 − 2 = 2
x×
Area of the shaded region = (100 + 2 × 10) (80 + 2 × 10) 100 × 80 = 120 × 100 - 8000 = 4000 sq.metere 108. If the C.P. of machine is Rs. x, then
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5 × 20 = 24 6 113. Required increase =
2 5 ×1 2 = 25 +12 + % 100 = 40% 114. Speed of ship = 30 kmph =
30 × 5 25 m/sec. = m/sec. 18 3
Time taken in covering 500 metre
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=
500 × 3 = 60 seconds 25
2
1 ⇒ a + - 2 = 98 a 2
1 ⇒ a + = 100 a 1 = 10 a On cubing both sides,
⇒a +
3
1 a + = 1000 a
Speed of radio waves =
200 1 km/sec. = km/sec. 1000 5
1 4 +x 1 1 = 60 5 5
⇒ a3 +
x2 + \
⇒
x2 +
⇒ a3 +
x2
⇒ 144 +
- 24x =
1 + 4
1 575 = ⇒ 24x = 144 4 4 575 = 6km ⇒ x= 4 × 24 115. If the amount of loan taken from the first bank is Rs. x, then x × 8 × 1 (1 0 0 0 0 − x ) × 1 0 + 100 100
= 950 ⇒ 8x + 100000 - 10x = 95000 ⇒ 2x = 10000 - 950000 = 5000 ⇒ x = Rs. 2500 2 116. a +
1 a
2
= 98
a3
= 1000 - 30 = 970
- 2x + 1 = 2 + 3 + 2 6
⇒ x2 + 2x - 4 = 2 6 On squaring again, x4 + 4x2 + 16 + 16 - 4x3 - 8x2 + 16x = 24 ⇒ x4 - 4x3 - 4x2 + 16x - 8 = 0 ⇒ 2x4 - 8x3 - 8x2 + 32x -16 = 0 ⇒ 2x4 - 8x3 - 5x2 + 26x - 28 - 3x2 + 6x + 12 = 0 ⇒ 2x4 - 8x3 - 5x2 + 26x - 28 = 3x2 - 6x - 12 = 3(x2 - 2x - 4)
1 4 x2
1
2 + 3 On squaring,
= 12
x2
a3
1 + 3 a + = 1000 a
117. x - 1 =
1 1 + x = × 60 5 4
(12 - x)2 = x2 +
1
=3× 2 6 = 6 6 118.
7 x 9 ∴ −1 = −1 = 2 4 2 120. x +
⇒ x2 - 5x + 1 = 0 ⇒ x2 + 3x + 1 = 2x ∴
1 2
∴ x = 1 4 4 = 12 119. 4x = 18y x 18 9 ⇒ y = 4 =2
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x2
1 3 x + 3 x
1 = 2
3 1 1 x + − 3 x + x x
1 = (1 2 5 − 3 × 5 ) 2 =
1 × 1 1 0 = 55 2
3 ,y=2- 3 x + u = 4; xy = 4 - 3 = 1
121. x = 3 +
∴
= 2
⇒ x2 + 25 = 169 ⇒ x2 = 169 - 25 = 144
1 x2 − 3x +1
x4 +
1 4 x + 2 x 1 = x 2
(x − 0 ) + (0 + 5 ) = 13 2
1 =5 x
=
x2 +y2 x3 +y3 (x + y )2 − 2 x y (x + y )3 − 3 x y (x + y ) 16 − 2 14 7 = = 64 − 3 × 4 52 26
122. a2 + b2 + c2 = 2(a - b - c) - 3 ⇒ a2 + b2 + c2 – 2a - 2b - 2c + 3 =0 ⇒ a2 + 2a + 1 + b2 + 2b + 2c + 3 =0 ⇒ a2 - 2a + 1 + b2 + 2b + 1 + c2 +
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2c + 1 = 0 ⇒ (a - 1)2 + (b +1)2 + (c + 1)2 = 0 [If x2 + y2 + z2 = 0 ⇒ x = 0; y = 0, z = 0] ∴a-1=0 ⇒ a=1 b + 1 = 0 ⇒ b = -1 c + 1 = 0 ⇒ c = -1 ∴ 2a - 3b + 4c = 2 + 3 - 4 = 1 123. 2x -
20x + 15y = 60 – – – 13y = 80 ⇒ 5x + 7 × 0 = 35, ⇒ 5x = 35 ⇒ x = 7, ∴ (7, 0) Similarly, point of intersection ∴ Base = 7 - 3 =4
1 =6 2x
⇒x=
∴ Area =
1 =3 4x
=
[On dividing by 2]
⇒ x4 + ⇒ x4 + 124. 5a +
1 16 x 2
1 −2 ×x × =9 4x
1 16 x
2
=9+
3a +
3 , 5
2 5a
⇒ 9a2 +
+ 2 × 3a ×
2
160 sq.unit 13
∴ ∠OBC = ∠OCB ∴ ∠OBC = 90° -
∴ ∠B AC + ∠OBC = 90° - ∠B AC + ∠B AC = 90°
1 BC 2 ∴ AO : OG =2:1
133.
=
1 =9 5a
∴ AP : AQ = 5 : 8 A 134. ∠B IC = 90° + 2 = 90° + 30° = 120°
1 2 5a 2
6 45 − 6 =9= 5 4 39 5 125. 5x + 7y = 35 (i) 4x + 3y = 12 (ii) By equation (i) × 4 - (ii) × 5 20x + 28y = 140
A 2 = 90° - 40° = 50° 136. s = 16 cm r = 50 m 135. ∠B PC = 90° -
129.
=
∠B AC = 50°
∴ ∠B S C = 100° BS = SC = radius ∴ ∠B CS =
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∠B OC 2
= 90°- ∠B AC
3 = 4 128. AF = FN AE = EC ∴ FE || BC
1 3 =5× =3 5a 5 1
1 80 ×4 × 2 13
9 = 16
On squaring, 9a2 +
132. ∠B OC = 2 ∠B AC OB + OC
126. ∠B AC = 180° - ∠B OC = 180° - 54° = 126° 127. Ratio of corresponding sides
1 19 = 2 2
1 =5 3a
On multiplying by
130. It is bsed on fundamental concept. 131. PQ2 = (r1 + r2)2 - (r1 - r2)2 =4r1r2
1 (1 8 0 − 1 0 0 ) = 40° 2
∴θ = =
16 s = 50 r
8 radian 25
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8 180° = × 25 π =
8 180 1008 ×7 = × 25 22 55
= 18
∴ tan
18 ° 55
18 × 6 0 ' ≈ 1 8 °2 0 ' = 18° 5 5 137. sin (2x - 20°) = cos (2y + 20°) ⇒ sin (2x - 20°) = sin (90° - 2y - 20°) = sin (70° - 2y) ⇒ 2x - 20° - 70° - 2y ⇒ 2(x + y) = 90° ⇒ x + y = 45° ∴ sec (x + y) = sec 45° 138. 5 tan θ = 4 ∴
5 s in θ − 3 cos θ 5 s in θ + 3 cos θ
cos2 θ .sin2 θ = 1 142. 2y cos θ = x sin θ
⇒ x sec θ = 2y = cosec θ ∴ 2x sec θ - y cosec θ = 3 ⇒ 4y cosec θ - y cosec θ = 3 ⇒ 3y cosec θ = 3
1 2x = tan 30° = 3 3
141. x2y2 (x2 + y2 + 3) = (cosec θ - sin θ ) 2 (sec θ cos θ )2 [(cosec θ - sin θ ) 2 + (sec θ cos θ )2 + 3] 2
1 1 − s in θ − cos θ = s in θ cos θ
2
2 2 1 1 − cos θ − s in θ + 3 cos θ s in θ
⇒ y cosec θ = 1 ⇒ y = sin θ ∴ sec θ = 2y cosec θ = 2sin θ .cosec θ = 2
⇒ x = 2cos θ ∴ x2 + 4y2 = 4cos2 θ = 4 143. AB = Pole = h metre BD = x metre
2
1 − s in 2 θ 1 − cos 2 θ = s in θ cos θ 2 2 1 − cos 2 θ 1 − s in 2 θ + + 3 s in cos θ θ
5sin θ 3cos θ − cos θ cos θ = 5sin θ 3cos θ + cos θ cos θ
cos 2 θ = s in θ
5 tan θ − 3 = 5 tan θ + 3 4 5× −3 5 1 = = 4 5× +3 7 5
= 4 + 4 tan2 θ + 9 + 9 cot2 θ = 13 + 4 (tan 2 θ + cot 2 θ ) + 5cot2 θ )2
+ 2] + 5
= 13 + 8 + 4 (tan θ - cot θ )2 + 5cot2 θ (tan θ - cot θ )2 ≥ 0 140. tan (x + y), tan (x - y) = 1
2
2
s in 2 θ cos θ
From ∆A B C , h x +5
tan 30° =
cos 2 θ s in 2 θ + + 3 s in θ cos θ
⇒
= cos2 θ × sin2 θ
⇒x+5=
cos θ + s in θ + 3 cos θ. s in θ cos 2 θ. s in 2 θ 2
139. 4sec2 θ + 9cosec2 θ = 4(1 + tan2 θ ) + 9(1 + cot2 θ )
= 13 + 4 [tna θ - cos θ cot2 θ
⇒ tan (x + y) = cot (x - y) = tan (90° - x + y) ⇒ x + y = 90° - x + y ⇒ 2x = 90°
6
2
2
=cos6 θ + sin6 θ + 3cos2 θ sin2 θ
{(
2 = cos θ
) + ( s in 2 θ) } 3
3
h x
tan 60° =
⇒
h 3 = x h
=(cos2 θ + sin2 θ )3
⇒x=
- 3cos2 θ .sin2 θ
∴ x+5=
(cos2 θ + sin2 θ ) + 3 cos2 θ .sin2 θ =1-3cos2 θ .sin2 θ + 3
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h x +5
=
3h From ∆ABD ,
3
+ 3cos2 θ .sin2 θ
1
3
⇒h+ 5 3
3h
(i)
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⇒ 2h = 5 3 5 3 metre ⇒ h= 2 25 × π 144. θ = 25° = radius 180
=
5π radians 36
s θ = t 40 s 40 × 36 ⇒ r = = 5π = t 5π 36
⇒
40 × 36 × 7 metre 5 × 22
= 91.64 metre 145. sin θ + sin2 θ = 1 ⇒ sin θ = 1 - sin2 θ
146. Q 72 lakh = 360° \ 12 lakh =
360 ×1 2 72
= 60° = S6 147. Population of region S1 =
45 × 7 2 = 9 lakhs 360
Males =
3 × 9 = 5.4 lakhs 5
Population of region S4 =
105 × 7 2 = 21 lakh 360
2 × 2 1 = 8.4 lakhs 5 Sum = 5.4 + 8.4 = 13.8 lakhs 148. Population of region S2
Male =
=
135 × 7 2 = 27 lakhs 360
1 × 2 7 = 5.4 lakhs 5 Population of region S5
⇒ sin θ = cos2 θ \cos12 θ + 3cos10 θ + 3 cos8 θ +cos6 θ -1
Females =
= (cos4 θ + cos2 θ )3 – 1
=
= (sin2 θ + cos2 θ )3 – 1 = 1 - 1 =0
Females =
60 × 7 2 = 12 lakhs 360
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7 × 1 2 = 4.2 lakhs 20
Required ratio = 5.4 : 4.2 = 9 : 7 149. Population in 2009 Region S1 = 9 ×
100 105
60 lakhs 7 Region S2 =
=
100 15 × × 72 108 360
=
25 lakhs 9
∴ Required ratio =
60 2 5 , 7 9
12 5 : = 108 : 35 7 9 150. Number of females: Region S1 = 9 - 5.4 × 3.6 lakhs Region S2 = 5.4 lakhs =
Region S3 ⇒ 3 ×
3 10
= 0.9 lakhs Region S4 = 21 - 8.4 = 12.6 lakhs Region S6 = 4.2 lakhs Average = 5.35 lakhs
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SOLVED PAPER SSC-CGL PRE. EXAM 2013 Held On: 19-05-2013 (Morning Shift)
GENERAL INTELLIGENCE AND REASONING Directions (Q. Nos. 1-4) Select the related letters/ words / numbers from the given alternatives. 1. Tanning : Leather : : Pyrotechnics :? (a) Bombs (b) Fireworks (c) Wool (d) Machinery 2. King : Throne : : Rider : ? (a) Chair (b) Horse (c) Seat (d) Saddle 3. F : 216 : : L : ? (a) 1728 (b) 1700 (c) 1600 (d) 1723 4. MOUSE : KPSTC : : LIGHT : ? (a) MGHFU (b) JGEFR (c) JJEIR (d) MJHIU 5. If 264 * 2 = 6, 870 * 3 = 11, then what should 735 * 5 be? (a) 12 (b) 16 (c) 03 (d) 05 6. Which one of the given response would be a meaningful order of the following? 1. Implementation 2. Conceptual Modelling 3. Requirements Analysis 4. Logical Modelling 5. Physical Model 6. Schema Refinement (a) 3, 2, 4, 6, 5, 1 (b) 1, 3, 2, 6, 5, 4 (c) 3, 2, 5, 4, 6, 1(d) 3, 2, 1, 4, 6, 5 Directions (Q. Nos. 7 and 8) Which one set of letters when sequentially placed at the gaps in the given letter series shall complete it?
7. b_ab_b_aab_b (a) abbb (b) abba (c) baaa (d) aabb 8. _bcab_cabc_abca_b (a) abca (b) aabc (c) bbca (d) abac Directions (Q. Nos. 9-13) Find the odd word/number/number-pair from the given alternatives. 9. (a) Head (b) Heed (c) Led (d) Heap 10. (a) Scurvy (b) Rickets (c) Night-blindness (d) Influenza 11. (a) Rain (b) Shower (c) Sleet (d) Raisin 12. (a) 547-563 (b) 71-55 (c) 517-523 (d) 248-231 13. 10, 13, 234, 681, 997 (a) 10 (b) 234 (c) 13 (d) 681 Directions (Q. Nos, 14-18) A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. 14. AFI, JOR, MRU, ? (a) GJN (b) HMP (c) PMO (d) RJL 15. bc, cde, de, efg, fg, ? (a) ghi (b) fgh (c) hij (d) ijk
16. C - 3, E - 5, G - 7, I - 9, ?, (a) X - 24, M - 21 (b) K - 11, M - 13 (c) O - 15, X - 24 (d) M - 18, K - 14 17. 5, 16, 51, 158, ? (a) 1452 (b) 483 (c) 481 (d) 1454 18. 9 * 2 : 9 * 9 : : 9 * 5 : ? (a) 9 × 4 (b) 9 × 6 (c) 9 × 7 (d) 9 × 8 19. Priti scored more than Rahul. Yamuna scored as much as Divya. Lokita scored less than Manju. Rahul scored more than Yamuna. Manju scored less than Divya. Who scored the lowest? (a) Manju (b) Yamuna (c) Lokita (d) Rahul 20. A man showed a boy next to him and said “He is the son of my wife’s sister-in-law but I am the only child of my parents.” How is my son related to him? (a) Cousin (b) Brother (c) Uncle (d) Nephew 21. Find the correct group of signs to solve the equation. 24 * 16 * 8 * 32 (a) ÷ – = (b) – + = (c) × ÷ = (d) + – = 22. Sunil is the son of Kesav. Simran, Kesav’s sister, has a son Maruti and daughter Sita. Prem is the maternal uncle of Maruti. How is Sunil related to Maruti?
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(a) Cousin (b) Maternal Uncle (c) Brother (d) Nephew Directions (Q. Nos. 23-25) From the given alternatives, select the word which cannot be formed using the letters of the given word. 23. MANUSCRIPT (a) PRIMUS (b) SMART (c) RUSTIC (d) MASTER 24. SEGREGATION (a) NATION (b) GREAT (c) GREETINGS (d) SEATING 25. CONSTITUTIONAL (a) TUITION (b) TALENT (c) LOCATION (d) CONSULT 26. If each of the letters in the English alphabet is assigned an even numerical value by giving A = 2, B = 4 and so on, what would be the total value of the letters for the word ‘LADY’ when similarly coded? (a) 74 (b) 72 (c) 84 (d) 82 27. If the word ‘LEADER’ is coded as 20 - 13 - 9 - 12 - 13 - 26, how would you write ‘LIGHT’? (a) 20 - 16 - 17 - 15 - 27 (b) 20 - 15 - 16 - 18 - 23 (c) 20 - 17 - 15 - 16 - 28 (d) 20 - 16 - 15 - 17 - 22 28. If the first and second letters in the word ‘COMMUNICATIONS’ were interchanged, also the third and the fourth letters, the fifth and sixth letters and so on, which letter would be the tenth letter counting from your right? (a) U (b) A (c) T (d) N 29. Which of the following interchanges of numbers would make the given equation correct? 8 × 20 ÷ 3 + 9 – 5 = 38
(a) 3, 8 (b) 8, 9 (c) 3, 5 (d) 3, 9 30. Put the correct mathematical signs in the following equation from the given alternatives. 33 ? 11 ? 3 ? 6 = 115 (a) +, –, × (b) ×, ÷, – (c) ÷, ×, × (d) –, ×, + 31. Select the correct combination of mathematical signs to replace * signs and to balance the given equation. 15 * 24 * 3 * 6 * 17 (a) + ÷ – = (b) + × = ÷ (c) – × = + (d) – ÷ + = Directions (Q. Nos. 32-34) Select the missing number from the given responses. 32.
84 14
(a) (b) (c) (d) 33.
18
88 9
10 12 14 16
3
5
8
7
4 5 58
6 2 58
4 2 62
6 3 ?
(a) (b) (c) (d) 34.
81
12
126 122 128 124
4 3 2 6 9 10 9 27 ? (a) 30 (b) 20 (c) 50
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(d) 54
?
11
35. Raj is standing in the middle of a square field. He starts walking diagonally to North-East. Then, he turns right and reaches the far end of the field. Then, he turns right and starts walking. In the midway, he again turns right and starts walking. In halfway, he turns to his left and reaches new far end. In what direction is Raj now? (a) North (b) South (c) North-West (d) South-West 36. A boy starts from home in early morning and walks straight for 8 km facing the Sun. Then, he takes a right turn and walks for 3 km. Then, he turns right agian and walks for 2 km and then turns left and walks for 1 km. Then, he turns right, travels 1 km and then turns right and travels for 4 km straight. How far is he from the starting point? (a) 5 km (b) 6 km (c) 2 km (d) 4 km Directions (Q. Nos. 37 and 38) One /I two statements are given, followed by two / three conclusions I, II and III. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements. 37. Statement Sick people need medicine. Conclusions I. Healthy people do not need medicine. II. People keep medicine in their home. (a) Only Conclusion I follows (b) Only Conclusion II follows (c) Both Conclusions I and II follow (d) Neither Conclusion I nor II follows
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38. Statements I. Some years are decades. II. All centuries are decades. Conclusions I. Some centuries are years. II. Some decades are years. III. No century is a year. (a) Conclusions I and II follow (b) Conclusions I and III follow (c) Only Conclusion I follows (d) Only Conclusion II follows 39. There is a ball and a rectangular jar. Four positions are shown below to keep then balanced. Which of the following will not be balanced easily?
40. Which one of the four boxes given below is created by folding the given key design in the question figure?
42. Which one of the following diagrams best depicts the relationship among Earth, Sea and Sun? (a) (b)
46. (c)
(d) 43. Read the figure and find the region representing persons who are educated and employed but not confirmed.
(a) ac (b) abc (c) bd (d) adc 44. In the given diagram, circle represents professionals, square represents dancers, triangle represents musicians and rectangle represents Europeans. Different regions in the diagram are numbered 1 to 11. Who among the following is neither a dancer nor a musician but is professional and not a European?
41. How many cubes are there in the group?
(b) 16 (d) 20
47. Which of the answer figures includes the separate components found in the question figure?
48. A piece of paper is folded and punched as shown below in the question figures. From the given answer figures, indicate how it will appear when opened.
49. Choose the right water image of the question figure from the given answer figures.
(a) 8 (c) 1
(a) 10 (c) 18
45.
(b) 11 (d) 10
Directions (Q. Nos. 45 and 46) In these questions which answer figures will complete the pattern in the question figure?
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and that of Matrix II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g., ‘D’ can be represented by 02, 14 etc. and ‘R’ can be represented by 57, 76 etc. Similarly, you have to identify the set for the word ‘BEST’.
50. A word is represented by only one set of numbers as given in anyone of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in two matrices given below. The columns and rows of Matrix I are numbered from 0 to 4
GENERAL 51. Social accounting system in India classified into is (a) enterprise, households and government (b) assets, liabilities and debt position (c) public sector, private sector and joint sector (d) income, product and expenditure 52. Forced savings refer to (a) taxes on individual income and wealth (b) compulsory deposits imposed on income tax payers (c) provident fund contribution of private sector employees (d) reduction of consumption consequent to a rise in prices 53. The demand for labour is called (a) direct demand (b) derived demand (c) factory demand (d) market demand 54. Which of the following is not an investment expenditure in goods and services? (a) Purchase of a house (b) Purchase of a machinery (c) An increase in business inventories (d) Expansion of the main plant of a company 55. Which one of the following represents the savings of the private corporate sector? (a) Total profits of a company (b) Undistributed profits
56.
57.
58.
59.
60.
AWARENESS
(c) Excess of income over expenditure (d) Dividends paid to share holders Who presides over the joint session of Indian Parliament? (a) President of India (b) Chairperson of Rajya Sabha (c) Senior most Member of Parliament (d) Speaker of Lok Sabha Division of powers and independent Judiciary are the two important features of (a) unitary form of Government (b) democratic form of Government (c) federal form of Government (d) socialist form of Government Which article of the Indian Constitution did Dr BR Ambedkar term as the ‘Heart and Soul of the Indian Constitution’? (a) Article 19 (b) Article 356 (c) Article 32 (d) Article 14 Who was the first to use the term ‘State’? (a) Plato (b) Aristotle (c) Machiavelli (d) Hobbes Under which article of the Constitution of India, can the fundamental rights of the members of the Armed Forces be specifically restricted? (a) Article 19 (b) Article 21 (c) Article 25 (d) Article 33
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(a) 24, 22, 76, 97 (b) 24, 21, 77, 97 (c) 24, 22, 77, 97(d) 24, 22, 77, 96
61. Pulakesin II was the greatest ruler of the (a) Chalukyas of Badami (b) Chalukyas of Kalyani (c) Pallavas of Kanchi (d) Cholas of Tamil Nadu 62. The Uttaramerur inscription provides information on the administration of the (a) Satavahanas (b) Pallavas (c) Cholas (d) Chalukyas 63. Pitts India Act of 1784 was a/an (a) regulating act (b) ordinance (c) resolution (d) white paper 64. Which one of the following statements is not true in respect of AO Hume? (a) He was a member of the Indian Civil Service (b) He founded the Indian National Congress (c) He presided over the Congress Annual Sessions twice (d) He was an ornithologist 65. Which of the following movements saw the biggest peasant guerilla war on the eve of independence? (a) Tebhaga Movement (b) Punnapra Vayalar Movement (c) Telangana Movement (d) Noakhali Movement 66. Maps on large scale, representing both natural and man-made features are called
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67.
68.
69.
70.
71.
72.
73.
74.
75.
(a) Topographic maps (b) Thematic maps (c) Atlas maps (d) Wall maps Which river in India flows in a riftvalley? (a) Tapti (b) Narmada (c) Krishna (d) Cauvery A narrow strip of land that connects two larger land masses is called (a) peninsula (b) cape (c) isthmus (d) strait Tiny marine animals which constitute limestone skeletons are called (a) foraminifera (b) coral reefs (c) diatoms (d) clamitomonous Apatanis are the major tribal group of (a) Nagaland (b) Sikkim (c) Arunachal Pradesh (d) Jharkhand Which of the following plant pigments absorbs in red and farred region of light? (a) Chlorophyll (b) Phytochrome (c) Cryptochrome (d) Carotenoids The process through which excess of light energy is dissipated in photosynthesis is known as (a) scavenging (b) photolysis (c) photophosphorylation (d) quenching AIDS virus destroys (a) rnonocytes (b) neutrophils (c) basophils (d) lymphocytes Teeth and Bones acquire strength and rigidity from (a) fluorine (b) chlorine (c) sodium (d) calcium The type of tail found in Shark is (a) homocercal (b) heterocercal (c) diphycercal(d) protocercal
76. The Sigmoid Colon is part of (a) anal canal (b) large Intestine (c) ileum (d) small Intestine 77. A good conductor while carrying current is (a) negatively charged (b) positively charged (c) electrically neutral (d) alternately charged positive and negative 78. The angle between the magnetic meridian and the geographical meridian at a place is (a) dip (b) declination (c) latitude (d) azimuth 79. The device used for measuring the wavelength of X-rays is (a) cyclotron (b) bragg spectrometer (c) mass spectrometer (d) GM counter 80. Alpha particle is the nucleus of an atom of (a) hydrogen (b) helium (c) oxygen (d) lthium 81. Who is the founder of ‘Facebook’ which is currently the No.1 social networking website in India? (a) Martin Cooper (b) Orkut Buyukkokten (c) Mark Zuckerberg (d) Bill Gates 82. In programming, repeating some statements is usually called (a) structure (b) looping (c) control structure (d) compiling 83. Silicon is a polymer of (a) Silicon tetrachloride (b) Dialkyl dichloro silane (c) Silane (d) Tetraalkyl silane 84. Which is a natural colloid? (a) Urea (b) Cane-sugar (c) Blood (d) Sodium chloride 85. Which one of the following does not contain silver?
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86.
87.
88.
89.
90.
91.
92.
93.
(a) Lunar caustic (b) German silver (c) Horn silver (d) Ruby silver The presence of cobalt in vitamin B12 was established for the first time by (a) spectroscopy (b) borax-Bead test (c) sodium nitroprusside test (d) hydrolysis test Which bacterial strain developed from natural isolates by genetic manipulations can be used for treating oil spills? (a) Agrobacterium (b) Clostridum (c) Nitrosomonas (d) Pseudomonas Coating of solid waste with impervious material is known as (a) Chemical fixation (b) landfill (c) capping (d) encapsulation Ultraviolet rays can used in water treatment as (a) precipitator (b) hydrolyser (c) disinfectant (d) flocculator Thiamidine dimer formation in DNA is caused by (a) X-rays (b) β and γ -rays (c) UV-rays (d) IR-rays Winner of the Australian Open Men’s Singles Title in 2013 is (a) Andy Murray (b) Rogaer Federer (c) Novak Djokovic (d) David Ferrer Who among the following Presidents of MCC was a nonprofessional cricketer? (a) Colin Cowdrey (b) Peter May (c) Christopher Martin Jenkin (d) Ted Dexter Who won the Nobel Prize for Peace in 2012?
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(a) UN Intergovernmental Panel on Climate Change (b) International Atomic Energy Agency (c) Liu Xiaobo (d) European Union 94. Who won the Jnanpith Award for 2011? (a) Sitakant Mahapatra (b) Sachidananda Routray (c) Pratibha Ray (d) Gopinath Mohanty 95. Who is the author of the book “No Full Stops in India”? (a) Ved Mehta
(b) Nirad C Choudhuri (c) Mark Tully (d) RK Narayan 96. Which one of the following pairs is wrongly matched? (a) Red Square - Moscow (b) Tiananmen Square – Beijing (c) Tahrir Square - Abu Dhabi (d) Trafalgar Square - London 97. The term of a non-permanent member of the UN Security Council is (a) 6 months (b) 1 yr (c) 2 yr (d) 3 yr 98. Who is the Chairman of the 20th Law Commission?
(a) Justice JS Verma (b) Justice KG Balakrishnan (c) Justice DK Jain (d) Justice Usha Mehra 99. Julia Gillard is the Prime Minister of (a) Belgium (b) Canada (c) Australia (d) New Zealand 100. Which is the first state in India to pass the Food Security Law? (a) Kerala (b) Chhattisgarh (c) Gujarat (d) Punjab
QUANTITATIVE APTITUDE 101. A and B together can complete a piece of work in 12 days, B and C can do it in 20 days and C and A can do it in 15 days. A, B and C together can complete it in (a) 6 days (b) 8 days (c) 10 days (d) 12 days 102. A and B together can complete a work in 3 days. They start together but, after 2 days, B left the work. If the work is completed after 2 more days, B alone could do the work in (a) 4 days (b) 6 days (c) 8 days (d) 10 days 103. A does 20% less work than B. If A can complete a piece of work in 1 h, then B can do it in 2 (a) 4 h (b) 6 h (c) 8 h (d) 10 h 104. A rational number between 3/4 and 3/8 is (a) 7/3 (b) 16/9 (c) 9/16 (d) 1/7 105. Product of two coprime numbers is 117. Then their LCM is (a) 9 (b) 13 (c) 39 (d) 117 7
106. The diameters of two circles are the side of a square and the diagonal of the square. The ratio of the areas of the smaller circle and the larger circle is (a) 1 : 4 (b)
2: 3
(c) 1: 2 (d) 1 : 2 107. The total surface area of a sphere is 8π square unit. The volume of the sphere is (a) 8/3 π cu unit (b) 8 3 π cu unit (c)
8 3 π cu unit 5
8 2 π cu unit 3 108. A conical flask is full of water. The flask has base radius r and height h. This water is poured into a cylindrical flask of base radius mr. The height of water in the cylindrical flask is (d)
(a)
h 2 m 2
(b)
2h m
(c)
h 3m2
(d)
m 2h
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109. A dozen pairs of socks quoted at Rs. 180 are available at discount of 20%. How many pairs of socks can be bought for Rs. 48? (a) 4 pairs (b) 2 pairs (c) 5 pairs (d) 3 pairs 110. The marked price of a table is Rs. 12000. If it was sold for Rs. 10500 after allowing a certain discount, then the rate of discount is (a) 10% (b) 12.5% (c) 15% (d) 17.5% 111. The marked price of a radio set is Rs. 480. The shopkeeper allows discount of 10% and gains 8%. If no discount is allowed, his gain percent would be (a) 18% (b) 18.5% (c) 20% (d) 25% 112. The prices of a school bag and a shoe are in the ratio 7 : 5. The price of school bag is Rs. 200 more than the price of a shoe. Then, the price of a shoe is (a) Rs. 700 (b) Rs. 500 (c) Rs. 1200 (d) Rs. 200 113. A sum of Rs. 300 is divided among P, Q and R in such a way that Q gets Rs. 30 more than P and R gets Rs. 60 more than Q. The ratio of their shares is
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114.
115.
116.
117.
(a) 2 : 3 : 5 (b) 3 : 2 : 5 (c) 2 : 5 : 3 (d) 5 : 3 : 2 The average of nine numbers is 50. The average of the first five numbers is 54 and that of the last three numbers is 52. Then, the sixth number is (a) 34 (b) 24 (c) 44 (d) 30 The average of the first nine integral multiples of 3 is (a) 12 (b) 15 (c) 18 (d) 21 An article is sold for Rs. 300 at a profit of 20%. Had it been sold for Rs. 235, the loss percentage would have been (a) 3 (b) 5 (c) 6 (d) 16 A box has 100 blue balls, 50 red balls and 50 black balls. 25% of blue balls and 50% of red balls are taken away. Then, percentage of black balls at present is
1 (a) 25% (b) 33 % 3 (c) 40% (d) 50% 118. Two cars are moving with speeds v1 and v2 towards a crossing along two roads. If their distance from the crossing be 40 m and 50 m at an instant of time, then they do not collide, if their speeds are such that (a) v1 : v2 ≠ 4 : 5 (b) v1 : v2 ≠ 5 : 4 (c) v1 : v2 = 25 : 16 (d) v1 : v2 = 16 : 25 119. A certain distance is covered at a certain speed. If half of this distance is covered in double the time, the ratio of the two speeds is (a) 4 : 1 (b) 1 : 4 (c) 2 : 1 (d) 1 : 2 120. The simple interest on Rs. 4000 in 3 yr at the rate of x% per annum equals to the simple interest on Rs. 5000 at the rate of 12% per annum in 2 yr. The value of x is (a) 6% (b) 8% (c) 9% (d) 10%
121. If x2 – 3x + 1 = 0, then value of x2 + x + (a) 2
1 1 + 2 is x x (b) 6 (c) 8
x + y, then the value of (d) 10
4y – 3 4x – 3 4z – 3 122. If + + = 0, y x z then the value of (a) 3
(b) 4
1 1 1 + + is y x z (c) 6 (d) 9
123. Find the simlest value of 2 50 + 18 – 72 (given 2 = 1414). (a) 9.898 (b) 10.312 (c) 8.484 (d) 4.242 124. If a2 + b2 + 4c2 = 2(a + b – 2c) – 3 and a, b, c are real, then the value of (a2 + b2 + c2) is (a) 3
1 4
(b) 2
1 (d) 3 4 125. A number x when divided by 289 leaves 18 as the remainder. The same number when divided by 17 leaves y as a remainder. The value of y is (a) 2 (b) 3 (c) 1 (d) 5 126. An equation of the form ax + by + c = 0. Where, a ≠ 0, b ≠ 0 and c = 0 represents a straight line which passes through (a) (2, 4) (b) (0, 0) (c) (3, 2) (d) None of these 127. The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator becomes eight times the numerator. Find the fraction.
(c) 2
(a)
3 7
(b)
4 8
(c)
2 7
(d)
3 8
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128. If x2 = y + z, y2 = z + x and z2 = 1 + 1+ x
1 1 + is 1+ y 1+ z (a) 1 (b) 2 (c) 0 (d) – 1 129. In a ∆ABC, ∠A = 90°, ∠C = 55°, AD ⊥ BC . What is the value of ∠BAD? (a) 60° (b) 45° (c) 55° (d) 35° 130. If G is the centroid of ∆ABC and ∆ABC = 48 cm2, then the area of ∆BGC is (a) 8 cm2 (b) 16 cm2 2 (c) 24 cm (d) 32 cm2 131. The diagonals AC and BD of a cyclic quadrilateral ABCD intersect each other at the point P. Then, it is always true that (a) AP . CP = BP . DP (b) AP . BP = CP . DP (c) AP . CD = AB . CP (d) BP . AB = CD . CP 132. N is the foot of the perpendicular from a point P of a circle with radius 7 cm, on a diameter AB of the circle. If the length of the chord PB is 12 cm, the distance of the point N from the point B is (a) 12
2 cm 7
(b)
3
5 cm 7
2 5 cm (d) 6 cm 7 7 133. If O be the circumcentre of a ∆PQR and ∠QOR = 110°, ∠OPR = 25°, then the measure of ∠PRQ is (a) 50° (b) 55° (c) 60° (d) 65° 134. A vertical stick 12 cm long casts a shadow 8 cm long on the ground. At the same time, a tower casts a shadow 40 m long on the ground. The height of the tower is (a) 60 m (b) 65 m (c) 70 m (d) 72 m
(c) 10
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135. A, B, C, D are four points on a circle. AC and BD intersect at a point E such that ∠BEC = 130° and ∠ECD = 20°. Then, ∠BAC is (a) 90° (b) 100° (c) 110° (d) 120° 136. In a triangle, if three altitudes are equal, then the triangle is (a) equilateral (b) right (c) isosceles (d) obtuse 137. The tops of two poles of height 24 m and 36 m are connected by a wire. If the wire makes an angle of 60° with the horizontal, then the length of the wire is (a) 8 3 m
(b) 8 m
(c) 6 3 m
(d) 6 m
1 138. The value of – cosec θ – cot θ 1 is sinθ (a) cot θ (b) cosec θ (c) tan θ (d) 1 139. If cos θ + sin θ = cos θ – sin θ is
2 cos θ, then
(b) – 2 sin θ 2 sin θ
(d) 2 tan θ 140. If tan α = n tan β and sin α Q = m sin β, then cos2 α is (a)
m2 n2
(b)
m2 – 1 n2 – 1
(c)
m2 + 1 n2 + 1
(d)
m2 n2 + 1
(a) 0
(b)
2 3
1 3
(d)
4 3
(c)
3 and θ is acute, then 4 cosec θ is equal to
142. If tan θ =
(a)
5 3
4 (c) 3
(b)
5 4
(d)
4 5
143. The value of
1 (1 + tan 2 θ )
Chem 70°
Phy 85° Eng 60°
+
1 is (1 + cot 2 θ ) (a) 1 (b) 2 1 1 (d) 2 4 144. The selling price of 20 articles is equal to the cost price of 22 articles. The gain percentage is (a) 12% (b) 9% (c) 10% (d) 11% 145. A man gains10% by selling an article for a cetain price. If he sells it at double the price, then the profit made is (a) 120% (b) 20% (c) 40% (d) 100% 1 146. A number increased by 137 % 2 and the increment is 33. The number is (a) 27 (b) 22 (c) 24 (d) 25
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Directions (Q. Nos. 147-150) The following pie chart shows the marks scored by a student in different subjects- viz. Physics (Ph), Chemistry (Ch), Mathematics (M), Social Science (SS) and English (E) in an examination. Assuming that total marks obtained for the examination is 810, answer the questions given below.
Math 90°
(c)
(a) – 2 cos θ (c)
2 , then the 3 value of 1 – 2 sin2 θ is
141. If cos4 θ – sin 4 θ =
Social 55°
147. The marks obtained in English, Physics and Social Science exceed the marks obtained in Mathematics and Chemistry by (a) 10% 1 (b) 10 % 9 (c) 11% 1 (d) 11 % 9 148. The difference of marks between Physics and Chemistry is same as that between (a) Physics and English (b) Mathematics and English (c) English and Social Science (d) Chemistry and Social Science 149. The marks obtained in Mathematics and Chemistry exceed the marks obtained in Physics and Social Science by (a) 30 (b) 40 (c) 45 (d) 50 150. Thu subject in which the student obtained 135 marks is (a) Physics (b) Chemistry (c) Mathematics (d) English
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GENERAL ENGLISH Directions (Q. Nos. 151-155) In these questions some parts of the sentences have errors and some are correct. Find out which part of a sentence has an error. If a sentence is free from error, your answer is (d).
160. Many premier educational institutions come forward to have a _______ with flourshing industries. (a) tie-down (b) tie-up (c) tie-in (d) tie-on
151. We have been knowing (a)/ each other (b)/ since we were children. (c)/ No error (d) 152. Neither of the teams (a)/ are sensible enough (b)/ to do this task. (c)/ No error (d) 153. If I was he (a)/ I wouldn’t accept (b)/ this project. (c)/ No error (d) 154. The teacher advised to (a)/ the student to borrow (b)/ a book from the library within three days. (c)/ No error (d) 155. I insisted (a)/ on his going (b)/ there immediately. (c)/ No error (d)
Directions (Q. Nos. 161-163) In these questions out of the four alternatives, choose the one which best expresses the meaning of the given word.
Directions (Q. Nos. 156-160) In these questions sentences are given with blanks to be filled with an appropriate word(s). Four alternatives are suggested for each question. Choose the correct alternative out of the four. 156. The Information and Communication Technology has _____ age and employes very highly paid technocrats. (a) come of (b) come upon (c) come out of (d) come through 157. They reached the railway station before the train __________ . (a) had left (b) had been left (c) left (d) was leaving 158. He slipped _______ his old ways and started drinking again. (a) into (b) off (c) by (d) in 159. All is not well _______ the automobile sector. (a) of (b) down (c) in (d) to
161. Stern (a) Lenient (b) (c) Stem (d) 162. Citadel (a) Metropolis (b) (c) Fortress (d) 163. Aberration (a) Justification (b) Intensification (c) Deviation (d) Rationality
Mansion Palace
170.
Inactive Domestic
Diminish Increase
Directions (Q. Nos. 167-171) In these questions four alternatives are given for the Idiom/ Phrase bold in the sentence. Choose the alternative which best expresses the meaning of the Idiom/ Phrase. 167. Acquiring a job a cakewalk for a student who has good academic performance coupled with the good attitude.
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169.
Young Strict
Directions (Q. Nos. 164-166) In these questions choose the word opposite in meaning to the given word and mark it. 164. Dormant (a) Active (b) (c) Dorsal (d) 165. Tranquility (a) Disturbance (b) Quiet (c) Serenity (d) Peace 166. Dwindle (a) Decrease (b) (c) Shrink (d)
168.
171.
(a) walk away with a cake (b) a difficult achievement (c) a walkway made with cakes (d) an easy achievement Let sleeping dogs lie. (a) Do not bring up an old controversial issue (b) Dogs can raise tempers (c) Do not allow dogs to stand (d) Prevent dog mobility To get admission in present day educational institutions, all children should be be born with a silver spoon in the mouth. (a) be born to silver spoon manufacturer (b) always hold a silver spoon (c) be born with silver spoon (d) be born in a rich family A man of straw means (a) a worthy fellow (b) an unreasonable person (c) a man of no substance (d) a very active person Children complain about their parents’ gifts. They should learn not to look gift horse in the mouth. (a) not to look at a horse’s mouth (b) not to find fault with the gifts received (c) not to ask for more gift (d) not to find goodness in the gifts
Directions (Q. Nos. 172-181) In these questions a sentence/ part of the sentence is bold. Below are given alternatives to the bold sentence/ part of the sentence at (a), (b) and (c) which may improve the sentence. Choose the correct alternatives. In case no improvement is needed, your answer is (d). 172. If I had the money I would have bought the house. (a) If I had had the money I would have bought the house
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173.
174.
175.
176.
177.
178.
(b) If I have the money I would have bought the house (c) If I have had the money I would have bought the house (d) No improvement I wish I knew what is wrong with my car. (a) I wish I had known what is wrong with my car (b) I wish I know what is wrong with my car (c) I wish I knew what was wrong with my car (d) No improvement Just before he died, Amar, who is a poet, wrote this poem. (a) Just before he died, Amar, who was a poet, wrote this poem (b) Amar, who is a poet, wrote this poem just before he died (c) Amar wrote this poem, who is poet, just before he died (d) No improvement The flag will be risen on the 15th of August. (a) The flag will be roused on the 15th of August (b) The flag will be rising on the 15th August (c) The flag will be raised on the 15th of August (d) No improvement Sushma has wisdom, charm and she has a good sense of humour. (a) Sushma had a good sense of humour (b) a good sense of humour (c) has a good sense of humour (d) No improvement They knocked down ten houses when they built the new road. (a) ruptured (b) removed (c) pulled down (d) No improvement Don’t sit in the grass. It’s wet. (a) by the side of (b) on (c) beside (d) No improvement
179. The game is more important than the winning of the prize. (a) The gaming is more important than the winning of the prize (b) The game is more important than winning of the prize (c) Gaming is more important than winning of the prize (d) No imporovement 180. The actor is out of jail, and not exactly a free man, since he will be under house arrest for an additional 90 days. (a) but not exactly a free man (b) though exactly a free man (c) if not exactly a free man (d) No improvement 181. Some players on the team suffer from chronic knee problems and will not play in the next playoff. (a) Some player on the team suffered (b) Some player on the team suffer (c) Some players on the team suffers (d) No improvement Directions (Q. Nos. 182-188) In these questions out of the four alternatives, choose the one which can be substituted for the given words/ sentence. 182. To reduce to nothing (a) Cull (b) Lull (c) Null (d) Annul 183. An obviously true or hackneyed statement (a) Truism (b) Syllogism (c) Iconic (d) Imagism 184. Words inscribed on a tomb (a) Epilogue (b) Epitaph (c) Epitome (d) Epistle 185. The act of producing beautiful handwriting using a brush or a special pen (a) Hieroglyphics (b) Calligraphy (c) Stencilling (d) Graphics 186. A word composed of the first letters of the words in a phrase.
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(a) Acronym (b) Abridgement (c) Almanac (d) Anachronism 187. A person of obscure position who has gained wealth. (a) Extrabagant (b) Promiscuous (c) Parvenu (d) Sumptuary 188. A study of sounds is known as (a) semantics (b) sylistics (c) linguistics (d) phonetics Directions (Q. Nos. 189-190) In these questions, four words are given in each question, out of which only one word is correctly spelt. Find the correctly spelt word. 189. (a) (b) (c) (d) 190. (a) (b) (c) (d)
Busyness Bussyness Business Bussiness Questionnaire Questionnair Questionaire Questionnare
Directions (Q. Nos. 191-200) In these questions you have a passage with 10 questions. Read the passage carefully and choose the best answer to each question out of the four. The postmaster first took up his duties in the village of Ulapur. Though the village was a small one, there was an indigo factory nearby and the propritor, an Englishman, had managed to get a post office established. Our postmaster belonged to Calcutta. He felt like a fish out of water in this remove village. His office and livingroom were in a dark thatched shed, not far from a green, silmy pond, surrounded on all sides by a dense growth. The men employed in the indigo factory had no leisure, moreover they were hardly desirable companions for decent folk. Nor is a Calcutta boy an adept in the art of associating with others. Among strangers he appears
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either proud or ill at ease. At any rate the postmaster had but little company, nor had he much to do. At times he tried his hand at writing a verse or two. That the movement of the leaves and clouds of the sky were enough to fill life with joy such were the sentiments to which he sought to give expression. But God knows that the poor fellow would have felt it as the gift of a new life, if some genie of the Arabian Nights had in one night swept away the trees, leaves and all, and replaced them with a macadamised road, hiding the clouds from view with rows of tall houses. 191. What does the idiom ‘fish out of water’ suggest? (a) In unfamiliar surroundings (b) can die any moment (c) grasping for breath (d) amphibious creature 192. Find a word in the passage which is the opposite of ‘near’.
193.
194.
195.
196.
(a) Convenient (b) Unknown (c) Close (d) Remote Find a word in the passage which means ‘the owner of a business’. (a) Constructor (b) Businessman (c) Entrepreneur (d) Proprietor The adjective used to describe the postmaster’s living-room is (a) bright (b) dark (c) light (d) deep What does the phrase ‘ill at ease’ in the passage mean? (a) Forward (b) Disease (c) Comfortable (d) Uneasy What does the phrase ‘little company’ in the passage mean?
197.
198.
199.
200.
(a) Bad friendship (b) Hardly any friends (c) Small business (d) Business-like At times, the postmaster wrote (a) poems (b) novels (c) short stories (d) dramas The postmaster wrote on the (a) beauty of nature (b) beauty of himself (c) beauty of the weather (d) beauty of the village The word ‘genie’ means (a) monster (b) spirit (c) ghost (d) soul Which factory was situated near the village Ulapur? (a) Chemical (b) Rubber (c) Clothes (d) Dyes
ANSWERS 1. (b) 11. (d) 21. (d) 31. (a) 41. (d) 51. (c) 61. (a) 71. (a) 81. (c) 91. (c) 101. (c) 111. (c) 121. (d) 131. (b) 141. (b) 151. (a) 161. (d) 171. (b) 181. (d) 191. (a)
2. (c) 12. (d) 22. (c) 32. (d) 42. (b) 52. (d) 62. (c) 72. (b) 82. (a) 92. (c) 102. (b) 112. (b) 122. (b) 132. (c) 142. (a) 152. (b) 162. (c) 172. (a) 182. (c) 192. (d)
3. (a) 13. (d) 23. (d) 33. (d) 43. (c) 53. (c) 63. (b) 73. (d) 83. (a) 93. (d) 103. (b) 113. (a) 123. (a) 133. (c) 143. (a) 153. (a) 163. (c) 173. (c) 183. (a) 193. (d)
4. (c) 14. (b) 24. (a) 34. (c) 44. (d) 54. (c) 64. (c) 74. (d) 84. (b) 94. (c) 104. (c) 114. (b) 124. (c) 134. (a) 144. (c) 154. (a) 164. (a) 174. (a) 184. (b) 194. (b)
5. (a) 15. (a) 25. (b) 35. (d) 45. (c) 55. (a) 65. (a) 75. (b) 85. (b) 95. (c) 105. (d) 115. (b) 125. (c) 135. (c) 145. (a) 155. (b) 165. (d) 175. (b) 185. (b) 195. (d)
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6. (c) 16. (b) 26. (c) 36. (a) 46. (d) 56. (d) 66. (a) 76. (b) 86. (b) 96. (c) 106. (d) 116. (c) 126. (b) 136. (a) 146. (c) 156. (a) 166. (d) 176. (b) 186. (a) 196. (b)
7. (d) 17. (c) 27. (c) 37. (c) 47. (b) 57. (c) 67. (b) 77. (a) 87. (a) 97. (c) 107. (d) 117. (b) 127. (a) 137. (a) 147. (d) 157. (c) 167. (d) 177. (c) 187. (c) 197. (a)
8. (a) 18. (b) 28. (d) 38. (a) 48. (c) 58. (c) 68. (d) 78. (c) 88. (b) 98. (c) 108. (c) 118. (d) 128. (a) 138. (a) 148. (d) 158. (a) 168. (a) 178. (b) 188. (d) 198. (a)
9. (b) 19. (c) 29. (c) 39. (b) 49. (d) 59. (c) 69. (b) 79. (b) 89. (c) 99. (c) 109. (a) 119. (b) 129. (c) 139. (c) 149. (c) 159. (c) 169. (d) 179. (b) 189. (c) 199. (b)
10. (d) 20. (a) 30. (b) 40. (c) 50. (c) 60. (d) 70. (c) 80. (b) 90. (c) 100. (b) 110. (b) 120. (d) 130. (b) 140. (b) 150. (d) 160. (b) 170. (c) 180. (a) 190. (a) 200. (d)
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EXPLANATIONS 1. As for finishing the ‘Leather’, ‘Tanning’ method is used, in the same way for ‘Pyrotechnics’, ‘Fireworks’ is used. 2. As ‘King’ sits on the ‘Throne’, in the same way ‘Rider’ sits on the ‘Seat’. 3. As, F=6 ⇒ (6)3 = 216 Same as, L = 12 ⇒ (12)3 = 1728 4.
13 15 21 19 5 M O U S E
11 K
16 19 20 3 P S T C
meaning of ‘Raisin’ is a partially dried grapes which is different from all others. 12. Except option (d) difference of all other numbers are divisible by 2. 13. 10, 13, 234, 681, 997 ⇒ 1 + 0, 1 + 3, 3 + 4 + 2 6 + 8 + 1, 9 + 9 + 7 ⇒
1,
⇒
(1)
8 20 H T
7 G
10 J
10 J
5 E
9 I
18 R
–2 +1 –2 +1 –2
5. As, ⇒ and ⇒
264 = 132 2 1+ 3 + 2 =6 870 = 290 3 2 + 9 + 0 = 11
Same as ⇒ 6. 7. 8. 9. 10.
11.
F +5
Same as, 9 I
735 = 147 5
1 + 4 + 7 = 12 The meaningful order of the given words are 3, 2, 5, 4, 6, 1. ba/ab/ab/ba/ab/bb abc/abb/cab/cca/bca/ab ‘Head’ is different from all other. Except ‘Influenza’ all other disease are caused by lack of any vitamins. Here, all options are related to rain or water except Raisin. The
2
2
(2)
9,
2
(3)
15, 16 2
(4)
25,
2
(5)
Hence, number 681 is wrong in the series. 14. From option (b), A
12 L
4,
M
I +3
R +5
J +5
U +3
O
H
R +3
M +5
P +3
15. bc, cde, de, efg, fg, ghi In this series, last letter of a term is started to new term and next two letter is included in the term. 16. C - 3, E - 5, G - 7, I - 9, K - 11, M - 13 In this series every letter has given its alphabetical number and one letter is skip in between. 17. The sequence of the series is as follows 5 × 3 + 1 = 16 16 × 3 + 3 = 51 51 × 3 + 5 = 158 158 × 3 + 7 = 481 Hence, next term will be 481 in the series 18. Given equation ⇒9×2:9×9: :9×5:? ⇒ 18 : 18 : : 45 : ? ⇒ 18 : 81 : : 45 : 54 9×2:9× 9::9 ×5 :9×6 Hence, 9 × 6 will come in place of question mark.
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19. Making equations by given information. Priti > Rahul ...(i) Yamuna = Divya ...(ii) Lokita < Manju ...(iii) Rahul > Yamuna ...(iv) Manju < Divya ...(v) On adding all the equations, we get Priti > Rahul > Yamuna = Divya > Manju > Lokita Hence, it is clear that Lokita scored the lowest. 20. Son of sister-in-law of wife of the man means that boy is the son of his brother-in-law and the son of the man is cousin to that boy. 21. Given equation = 24 * 16 * 8 * 32 Taking the sign of option (d), ⇒ 24 + 16 – 8 = 32 ⇒ 40 – 8 = 32 ⇒ 32 = 32 Hence, correct group of sign is option (d). 22. Making relation tree from the given information. (+)
Kishav
(+)
Sunil
(-)
Sister
Simran
(+)
Maruti
Brother
(+)
Prem
(-)
Sita
From above relation tree it is clear that Sunil is maternal uncle of Maruti. 23. Word ‘MASTER’ cannot be formed by using the letters of given word because letter ‘E’ is not present in the given word. 24. Word ‘NATION’ cannot be formed by using the letters of given word because in given word, letter ‘N’ is use only once whereas in word ‘NATION’, letter ‘N’ is used twice. 25. Word ‘TALENT’ cannot be formed by using the letters of given word
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because letter ‘E’ is not present in the given word. 26. LADY = 2 (12 + 1 + 4 + 25) = 2 × 42 = 84 27. As, 12
5 E
L
+8
1 A
+8
20
13
4 D
+8
9
5 E
+8
12
+8
18 R
9 I
+8
20
7 G
+8
17
+8
15
8 H +8
16
32. As,
84 × 2 = 14 12
and
81 × 2 = 18 9
+8
13 26
Same as, 12 L
⇒ 15 + 8 – 6 = 17 ⇒ 23 – 6 = 17 ⇒ 17 = 17
20 T +8
28
28. Given word → COMMUNICATIONS New word after interchanging the place of letters O C M M N U C I T A O I S N 10th from right
Hence, required letter is N. 29. Given equation → 8 × 20 ÷ 3 + 9 – 5 = 38 From option (c). interchanging the sign of 3 and 5. 8 × 20 ÷ 5 + 9 – 3 = 38 20 ⇒8× + 9 – 3 = 38 5 ⇒ 32 + 9 – 3 = 3 ⇒ 41 – 3 = 38 ⇒ 38 = 38 30. Given equation → 33 ? 11 ? 3 ? 6 = 115 From option (b), subsitute the signs 33 × 11 ÷ 3 – 6 = 115 11 – 6 = 115 3 ⇒ 11 × 11 – 6 = 115 ⇒ 121 – 6 = 115 ⇒ 115 = 115 31. Given equation → 15 * 24 * 3 * 6 * 17 From option (a), substitute the signs 15 + 24 ÷ 3 – 6 = 17 24 – 6 = 17 3
Years
88 × 2 = 16 11 Hence, number 16 will be come in place of question mark. 33. As, (3 × 4 × 5) – 2 = 60 – 2 = 58 and (5 × 6 × 2) – 2 = 60 – 2 = 58 and (8 × 4 × 2) – 2 = 64 – 2 = 62 Same as, (7 × 6 × 3) – 2 = 126 – 2 = 124 Hence, number 124 will be come in place of question mark. 34. 4 × 9 = 36 = (6)2 27 × 3 = 81 = (9)2 x × 2 = 100 = (10)2
W
E
S
It is clear from the above figure that now Raj is in South-West direction. 36. Way of the boy is as follows. 8 km 3 km
1 2 = 3 3 2 1 = 3 3
1 work in 2 days. 3 ∴ B alone can do it in 3 × 2 = 6 days
B
103. Efficiency ∝
1 Time taken
So, if B is 100% efficient, then A is 80% efficient.
3 km
N
4 km D E
F
2 km
C 1 E 2 km H
S
Let point A is the starting point and G is the final point. Now, distance between starting point and final point (AG) = AB – BG = (8 – 3) km = 5 km 37. As per Conclusion I, healthy people don’t medicine is right but
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1 3
So, B complete
S-W
W
=
∴ Remaining work = 1 –
N
G
Hence the option (d) is true. 41. Number of cubes in first row = 4 + 3 + 2 + 1 = 10 Number of cubes in second row =3+2+1=6 Number of cubes in third row =2+ 1=3 Number of cubes in fourth row =1=1 ∴ Total cubes = 10 + 6 + 3 + 1 = 20 102. Work done by A and B in 1 day
Their 2 days work = 2 ×
x = 50 35. Way of Raj is as follows.
A
Decades Centuries
38.
Same as,
⇒ 33 ×
⇒ 15 +
even, then people keep medicine in their home is also right. Hence, both Conclusions I and II follow.
x 80 = 15 here, x = Time 100 2 taken by B 106. Diagonal of a square
So,
= 2 × Side ∴ Ratio of area of smaller circle to π r12 larger circle = π r 2 2
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=
a π × 2
= Rs. x
2
2a π × 2
2
Here, a = Diameter of smaller circle 1 =1:2 2 107. Total surface area of sphere = 8 π 4 πr2 = 8
=
⇒r=
2 unit
∴ Volume of sphere =
4 3 πr 3
4 8 2 × π × ( 2 )3 = π cu unit 3 3 108. Volume of water = Volume of =
1 2 πr h 3 Now, the water is poured in cylindrical flask. So, volume of cylinder = Volume of water
conical flask =
= π (mr2) × Height =
1 2 πr h 3
h 3m 2 109. Cost of a dozen pair of socks after discount 180 × 80 = Rs. 144 100
∴ Cost of 1 pair of socks =
=
50 × 100 (75 + 25 + 50)
432 × 100 ∴x= = Rs. 400 108 If discount is not allowed, then
=
50 1 × 100 = 33 % 150 3
80 × 100 = 20% 400 113. Let the share of P = Rs. x Then Q’s share = Rs. x + 30 and R’s share = (x + 30) + 60 = Rs. x + 90 Sum of money with P, Q and R = Rs. 300 ∴ x + x + 30 + x + 90 = 300 ⇒ 3x + 120 = 300
119. Case I Speed =
gain is =
300 –120 = Rs. 60 3 ∴ Required ratio = 60 : (60 + 30) : (60 + 90) = 2 : 3 : 5 114. Required number = 50 × 9 – (54 × 5 + 3 × 52) = 450 – (270 + 156) = 450 – 426 = 24 116. Let the cost price of article = Rs. x Then, 120% of x = Rs. 300 ∴x=
⇒
∴ Height =
=
108 × x Then, = 432 100
Case II Speed =
=
= Rs. 12 So, with Rs. 48 total pairs of socks
4000 × 3 × x 5000 × 12 × 2 = 100 100 ∴ x = 10% 121. x2 – 3x + 1 = 0 x2 + 1 = 3x Dividing both side by x, we get
x2 +
300 × 100 ∴x= = Rs. 250 120 Now, if SP = Rs. 235 Then, loss percentage
48 = 4 pairs 12 111. Marked price = Rs. 480
can be bought =
480 × 90 So cost after discount = 100 = Rs. 432 Let actual cost of the radio set
50 × 50 = 25 100 ∴ Required percentage = 50% of 50 =
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1 x2
+2=9
1 =3 x
x+
...(i) ...(i)
1 =7 ...(ii) x2 Saving both side by, we get So, from Eqs. (i) and (ii), we get
x2 +
250 – 235 × 100 = 6% 250 117. After removing 25% of blue balls, total blue ball left 75 × 100 = 75 100 After removing 50% of red balls, total red ball left
Distance 4 × Time
1 =1:4 4 120. Hence, the two simple interests are equal. Then,
120 × x = 300 100
= 75% of 100 =
Distance 2 2 × Time
∴ Required ratio =
=
144 12
Distance Time
x2 + x + 122.
1 1 + 2 = 7 + 3 = 10 x x
4x – 3 4 y – 3 4z – 3 + + =0 y x z ⇒
4x 3 4y 3 4z 3 – + – + – =0 y y z z x x
1 1 1 ⇒4 +4 +4 –3 + + =0 x y z 1 1 1 ⇒ 12 = 3 + + x y z
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1 1 1 So, + + =4 y x z 123. 2 50 +
18 –
= 2 5×5×2 +
72 3×3× 2 –
128. x2 = y + z, y2 =z+x and z2 = x + y Satisfies only when x= y =z=2
6×6×2 =2×5 2 +3 2 –6 2 = 10 2 + 3 2 – 6 2 = 13 2 – 6 2 = 7 2 = 7 × 1.414 = 9.898 124. a2 + b2 + 4c2 = 2 (a + b – 2c) – 3 a2 + b2 + 4c2 = 2a + 2b – 4c – 3 (a2 – 2a + 1) + (b2 – 2b + 1) + (4c2 + 4c + 1) – 1 – 1 – 1 = – 3 (a – 1)2 + (b – 1)2 + (2c + 1)2 = 0 Thus, (a – 1) = 0 ⇒ a = 1 (b – 1) = 0 ⇒ b = 1 (2c – 1 = 0) ∴c= –
1 1 1 + + 1+ x 1+ y 1+ z
=
1 1 1 + + =1 3 3 3
12
90°
55°
C
∠B = 180° – (90° + 55°) = 35° Now, in ∆ADC, ∠ADC + ∠ACD + ∠DAC = 180° ∠DAC = 180° – 90° – 55° = 35° ∴ ∠BAD = 90° – 35° = 55°
1 ∴ a2 + b2 + c2 = 12 + 12 + – 2 130.
∴x=
A
=1+1+
G
= B
7–4 3 = 7 7
=
52 26 = cm 14 7
131.
A
= 10 133.
26 7
49 – 26 23 = cm 7 7
So, length of NB = 7 +
Area of ∆ABC 3
48 = 16 cm2 3
B
23 7
2 cm 7 P ° 25
∴ Fraction =
C
Area of ∆BGC =
x–4 ∴ Fraction = x Now, according to the question,
x +1 ⇒x–6= 8 ⇒ 8x – 48 = x + 1 ⇒ 8x – x = 48 + 1 ∴x=7
7 cm
∴ Length of NO = 7 –
18 = =1 17 127. If denominator of fraction = x, Then numerator = x – 4
( x + 1) (x – 4) – 2 = 8
O
7 cm
On joining AP, Now, ∠APB = 90° (Q Angle in a semicirlce = 90°) AB2 = AP2 + PB2 (14)2 = AP2 + (12)2 AP2 = 52 cm Now, let AN = x cm Then, NO = (7 – x) cm In ∆APN, AP2 = x2 + PN2 PN2 = AP2 – x2 PN2 = 52 – x2 ...(i) In ∆PNO, PO2 = PN2 + NO2 (7)2 = PN2 + (7 – x)2 49 – (7 – x)2 = PN2 ..(ii) From Eqs. (i) and (ii), we get ⇒ 52 – x2 = 49 – (49 – 14x + x2) ⇒ 52 – x2 = 49 – 49 + 14x – x2 ⇒ 14x = 52
D
A
cm
N
A
B
129.
1 2
1 1 =2 4 4 125. By shortcut method, remainder
∴
P
132.
B
O 110°
P
D
Q
C
So, AP . BP = CP . DP
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R
∠OPR = ∠ORP = 25° (angles opposite of radius) Now, in ∆QOR, ∠QOR + ∠OQR + ∠ORQ = 180°
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⇒ ∠QOR + ∠ORQ + ∠ORQ = 180° (Q angles opposite to equal side in a triangle are equal) ⇒ 2∠ORQ = 180° – 110°
sin 2 θ – (1 – cos θ ) = (1 – cos θ )sin θ
70° = 35° 2 ∴ ∠PRQ = 25° + 35° = 60° 134. Let the height of tower = x cm ∠ORQ =
Then,
12 × 40 ⇒ =x 8 ∴ x= 60 m 135. ∠CED = 180° – 130° = 50° Now, in ∆CED, ∠ECD + ∠CED + ∠CDE = 180° ∠CDE = 180° – 50° – 20° = 110° ∴ ∠BAC = ∠CDE = 110° (angles in same segment are equal)
cos θ – sin θ =
12 m
=
A
F 36 m
140.
B
So, in ∆ADE, DE sin 60° = AD (AD = length of wire)
AD =
=
12 DE = 3 sin 60° 12 × 2 3
= 8 3m 1 1 – cosec θ – cot θ sinθ
=
1 – 2 sin2 θ =
2sin θ cos θ (cos θ + sin θ )
1 1 – 1 cos θ sinθ – sin θ sin θ
(cos 2 α + m 2 – 1) = cos2 β ..(ii) m2 From Eqs. (i) and (ii), we get m 2 (cos 2 α + m 2 – 1) α= 2 × n m2 2 2 2 n cos α = cos α + m2 – 1
cos2
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2 3
3 θ 4
3 P = 4 B H2 = P2 + B2 H2 = 32 + 42
tan θ =
H = 9 + 16 = ∴
m cos α = cos β n On squaring both sides, we get sin2 α = m2 sin2 β 1 – cos2 α = m2 (1 – cos2 β) 1 – cos2 α = m2 – m2 cos2 β (1 – cos 2 α – m 2 ) – = cos2 β m2
2 3
142.
sin β m sin β =n cos β cos α
C
2 3
1– sin2 θ − sin2θ =
sin β sin α =n cos β cos α
60°
138.
=
= 2 sinθ 2 cos θ tan α = n tan β
24 m
⇒
2 3 (cos2 θ – sin2 θ) (cos2 θ + sin2 θ)
2sin θ cos θ
60°
2 3
(cos2 θ)2 – (sin2 θ)2 =
cos θ (1– cos θ ) = cot θ (1 – cos θ )sin θ
(cos θ + sin θ)2 = ( 2 cos θ)2 cos2 θ + sin2 θ + 2sin θ cos θ = 2cos2 θ 2 2sin θ cos θ = cos θ – sin2 θ 2 sin θ cos θ = (cos θ – sin θ) (cos θ + sin θ)
m2 – 1 n2 – 1
141. cos4 θ – sin4 θ =
139. cos θ + sin θ = 2 cos θ On squaring both sides, we get
D
137.
⇒ cos2 α =
1 – cos 2 θ –1 + cos θ = (1– cos θ )sin θ =
12 x = 8 40
(n2 – 1) cos2 α = m2 – 1
sin θ 1 = – 1 – cos θ sinθ
cosec θ =
25 = 5 H 5 = P 3
Hence, P = Perpendicular H = Hypotaneos B = Traea 143.
1 1 + ; 2 1 + tan θ 1 + cot 2 θ 1 1 + cos 2 θ sin 2 θ 1+ 1+ sin 2 θ cos 2 θ cos2 θ sin θ + 2 2 cos θ + sin θ sin θ + cos θ = cos2 θ + sin2 θ = 1 2
=
2
2
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144. Here, and Then
x= 20 y = 22,
y–x ∴ Percent gain = × 100% x 22 – 20 = × 100% = 10% 20 145. Let CP of the article be Rs. x. Then, SP = 110% of x = 1.1x If SP be double i.e., 2.2x, then Profit percent =
2.2 x – x × 100% x
= 120% 146. Let the number be x. Then, 137.5% of x = 33
33 × 100 = 24 1375 147. Marks in English, Physics and Social Science ∴x=
=
60 + 85 + 55 × 810 360
200 × 810 = 450 360 Marks in Maths and Chemistry = 810 – 450 = 360 ∴ Required percentage
=
=
450 – 360 90 × 100 = × 100 810 810
1 = 11 % 9
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148. Difference of marks in Physics and Chemistry =
85 – 70 × 810 360
15 × 810 = 33.75 360 They are equal to Chemistry and Social Science =
70 – 55 × 810 = 33.75 360 149. Required number =
=
(90 + 70) – (85 + 55) × 810 360
=
(160 –140) × 810 360
=
20 × 810 = 45 360
SOLVED PAPER SSC-CGL PRE. EXAM 2014 Held On: 26-10-2014 (Morning Shift)
REASONING Directions (Q. Nos. 1-6) In the following questions, select the related word/ letters/number from the given alternatives. 1. Optimist : Cheerful : : Pessimist :? (a) Petty (b) Selfish (c) Gloomy (d) Mean 2. YTOJ : XSNI : : WRMH : ? (a) VQLG (b) TOJE (c) RMHC (d) UPKF 3. EIGK : EACY : : RVTY : ? (a) RVSQ (b) RNPL (c) RWUY (d) RMPL 4. 720 : 840 : : 60 : ? (a) 76 (b) 80 (c) 70 (d) 74 5. 225 : 256 : : 289 : ? (a) 234 (b) 361 (c) 324 (d) 432 6. Money : Misappropriation : : Writing : ? (a) Deception (b) Mistake (c) Plagiarism (d) Theft Directions (Q. Nos. 7-11) Select the one which is different from other three alternatives. 7. (a) (b) (c) 8. (a) (c) 9. (a) (c) 10. (a) (c)
Rival Opponent Foe 27 18 9-72 11-115 TUVX BCDF
(d) (b) (d) (b) (d) (b) (d)
Ally 35 9 8-56 10-90 OPRS HIJL
11. (a) Bay (b) Cape (c) Peninsula (d) Island 12. Which one of the given response would be a meaningful order of the following? 1. Seed 2. Plant 3. Germination 4. Embryo 5. Flower 6. Fruit (a) 1, 5, 3, 4, 2, 6 (b) 1, 4, 3, 2, 5, 6 (c) 6, 5, 4, 3, 1, 2 (d) 1, 5, 6, 4, 2, 3 13. Arrange the following words as per order in the English dictionary. 1. Live 2. Litter 3. Little 4. Literacy 5. Living (a) 3, 4, 2, 1, 5 (b) 3, 2, 4, 5, 1 (c) 4, 3, 5, 2, 1 (d) 4, 2, 3, 1, 5 14. Which one set of letters when sequentially placed at the gaps in the given letter series shall complete it? ipi_upog_pig_pogi_g (a) iupgg (b) upgii (c) puigp (d) giupi 15. In the following series, how many KGN occur in such a way that ‘G’ is in the middle and ‘K’ and ‘N’ are adjacent to it on both sides? AKGLMNDQKGCSNGK TGKGNDZ PUXG KE (a) 3 (b) 5 (c) 1 (d) 2
Directions (Q. Nos. 16-18) In the Following questions, a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. 16. 1, 0, 3, 2, 5, 6, ?, 12, 9, 20 (a) 9 (b) 10 (c) 7 (d) 8 17. SHG, RIF, QJE, PKD, ? (a) NME (b) NLB (c) OLE (d) OLC 18. 7, 8, 18, 57, ?, 1165 (a) 174 (b) 232 (c) 224 (d) 228 19. There are five friends – Sachin, Kamal, Mohan, Arun and Ram. Sachin is shorter than Kamal, but taller than Ram. Mohan is the tallest. Arun is a little shorter than Kamal and a little taller than Sachin. Who is the second tallest? (a) Ram (b) Sachin (c) Kamal (d) Arun 20. A is the brother of B, B is the daughter of C and D is the father of A. Then, how is C related to D? (a) Husband (b) Wife (c) Granddaughter (d) Grandfather 21. From the given alternative words, select the word which can be formed using the letters of the given word. DEMOCRACY (a) SECRECY (b) MICRO (c) MARCY (d) DEMON
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22. From the given alternative words, select the word which cannot be formed using the letters of the given word INCARCERATION (a) RELATION (b) TERRAIN (c) INACTION (d) CREATION 23. Mr. Mani’s age is 47 yr and John’s age is 13 yr. In how many years will Mr. Mani’s age be double of John’s age? (a) 20 (b) 21 (c) 10 (d) 15 24. If in a certain code ‘INTELLIGENCE’ is written as ‘ETNIGILLECNE’, then how can ‘MATHEMATICAL’ be written in the same code? (a) AMHTMETACILA (b) TAMMEHITALAC (c) HTAMTAMELACI (d) LACITAMEHTAM 25. If in a certain code ‘CHARACTER’ is written as ‘241612376’ and ‘CHILDREN’ is written as ‘24859670’, then how can ‘HIRALAL’ be written in the same code? (a) 4861551 (b) 4861515 (c) 4685151 (d) 4685511 26. Given below are capital letters in the first line and symbols in the second line. Symbols and letters are codes for each other. Choose the correct code for the given letters. A C EGH I ON P R T S B D M + – ÷ × = ( ) [ ] ≠ || # | > <
BEAST (a) | ÷ + ≠ | | (b) | ÷ × # | | (c) | ÷ + # | | (d) | ÷ + ≠ = 27. In an examination, 78% of the total students who appeared were successful. If the total number of failures was 176 and 34% got first class, then how many students got first class?
(a) 272 (b) 112 (c) 210 (d) 254 28. Some letters are given with numbers from 1 to 6. Select the sequence of numbers which arranges the letters into a meaningful word 1 2 3 4 5 6 G I C O D N (a) 2, 1, 4, 3, 6, 5 (b) 4, 3, 2, 6, 5, 1 (c) 6, 5, 2, 3, 1, 4 (d) 3, 4, 5, 2, 6, 1 29. Select the correct combination of mathematical signs to replace * signs and to balance the following equation (8 * 7 * 6) * 5 * 10 (a) × – ÷ = (b) – × ÷ + (c) + – ÷ × (d) × + = ÷ 30. If ‘>’ stands for ‘division’, ‘∨’ stands for ‘multiplication’, ‘–’ stands for ‘greater than’, ‘×’ standsd for ‘less than’, ‘<’ stands for ‘addition’, ‘∧’ stands for ‘subtraction’, ‘+’ stands for ‘equal to’, then which of the following equation is correct? (a) 10 ∧ 3 < 5 < 4 + 16 (b) 4 ∧ 6 < 4 < 4 + 16 (c) 12 ∧ 3 < 5 < 4 + 12 (d) 11 ∧ 12 < 5 < 4 + 12 31. Some equations are solved on the basis of a certain system. Find the correct answer for the unsolved equation on that basis. 5 * 3 = 125; 4 * 3 = 64; 8 * 2 = ? (a) 28 (b) 16 (c) 32 (d) 64 Directions (Q. Nos. 32-34) In these questions, select the missing number from the given responses. 32.
9 7 4 5 4 3 6 8 ? 49 52 25
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(a) 6 (c) 4 33.
4 8
(b) 7 (d) 5 10 22 5 14
10
3
?
(a) 13 (c) 11 34.
(b) 14 (d) 12
2 3 4 3 4 5 13 ? 41
(a) 31 (b) 46 (c) 23 (d) 25 35. Some statements are given followed by two Conclusions I and II. You have to consider the statements to be true, even if they seem to be at variance from commonly known facts. You are to decide which of the given conclusions can definitely be drawn from the given statements. Indicate your answer. Statements All files are papers. Some papers are books. Some books are journals. Conclusions I. All files are journals. II. All books are not journals. (a) Both Conclusions I and II follow (b) Neither Conclusion I nor II follows (c) Only Conclusion I follows (d) Only Conclusion II follows 36. Pratap starts from school and walks 7 km towards East. He takes a left and walks 4 km, then takes a right and walks 2 km, again takes a right and walks 3 km. Which direction is he facing now? (a) South (b) North (c) East (d) West 37. Vijay travelled 12 km Southward, then turned right and travelled 10 km, then turned right and
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travelled 12 km. How far was Vijay from the starting point? (a) 22 km (b) 44 km (c) 12 km (d) 10 km 38. Fertilizer consumption in India in 1984-85 was 8.21 MT. By 1990 it was 13.75 MT and by 2000 it was expected to reach 16 MT. What conclusion can you draw from this data? (a) Fertilizer consumption does not show any trend (b) There is a steady increase of the fertilizer consumption (c) Fertilizer consumption is steady (d) There is a steady decrease in the fertilizer consumption. 39. How many triangles are there in the given figure?
46.
42. In the given figure, which letter represents those Actors who are also Dancers, Singers as well as Violinists?
(a) S (c) P
(b) Q (d) U
Directions (Q. Nos. 43 and 44) In the following questions, identify the diagram that best represents the relationship among the classes given below.
47. A piece of paper is folded and cut as shown below in the question figures. From the given answer figures, indicate how it will appear when opened.
43. Factory, Machinery, Product
(a) 18 (b) 20 or more (c) 12 (d) 16 40. Among the four answer figures, which figure can be formed the cut-pieces given below in the question figure? Question Figure
44. Travellers, Train, Bus
48. From the given answer figures, select the one is which the question figure is hidden/ embedded.
Directions (Q. Nos. 45 and 46) In these questions, which answer figure will complete the pattern in the question figure? 45.
Answer Figures
41. Choose the cube which will be formed on folding the given question figure.
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49. A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in two matrices given below. The columns and rows of
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Matrix I are numbered from 0 to 4 and that of Matrix II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column. e.g., ‘E’ can be represented by 02, 43, 68 etc., and ‘N’ can be represented by 21, 65, 95 etc. Similarly, you have to identify the number set for the word given below. Cost
the image of the question figure?
(a) 04, 30, 31, 41 (b) 88, 57, 69, 32 (c) 04, 11, 41, 76 (d) 88, 78, 99, 89 50. If a mirror is placed on the line MN, then which of the answer figures is
GENERAL 51. he famous economist Thomas Robert Malthus, in his views regarding population, is (a) optimistic (b) partly optimistic and partly pessimistic (c) pessimistic (d) None of the above 52. Non-insurable or uncertainty risk is (a) change in fashion (b) fire (c) flood (d) change in the price of that commodity 53. ‘Gold Bullion Standard’ refers to (a) gold coin as an unlimited legal tender (b) gold as the measure of value (c) free coinage of gold (d) no restriction on import and export of gold 54. Laws made by the executive are called (a) Delegated Legislation (b) Preferred Legislation (c) Rule of Law (d) Administrative Law 55. The word ‘Oikonomia’ means (a) Household Management (b) Individual Management (c) Political Management (d) Fiscal Management
AWARENESS
56. The word ‘Economics’ is taken from which language? (a) French (b) Greek (c) German (d) English 57. Which of the following is a merit of the presidential form of government? (a) The fixed tenure of the executive gives it a great sense of stability (b) It ensures speedy execution of policies (c) It safeguards the liberty of the people (d) All of the above 58. The two chambers of the Swiss Federal Assembly are called (a) National Council and Council of States (b) House of Lords and House of Commons (c) Senate and House of Representatives (d) None of the above 59. Name the Italian traveller who visited the Vijayanagar empire in 1420 AD (a) Domingos Paes (b) Edoardo Barbosa (c) Nicolo de Conti (d) Abdur Razzag 60. Which one of the following dynasties established an independent rule in Bijapur?
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61.
62.
63.
64.
65.
66.
(a) Imad Shahi (b) Nizam Shahi (c) Qutb Shahi (d) Adil Shahi Who regarded the second chamber as needless, useless and worse? (a) Laski (b) Maclver (c) Bentham (d) Seeley The tenure of the Swiss President is (a) 3 yr (b) 2 yr (c) 4 yr (d) 1 yr Haemolymph is observed in (a) Arthropods (b) Echinoderms (c) Ascaris (d) Annelids The virus without capsid but only with nucleic acids is called (a) Capsomere (b) Nucleoid (c) Prion (d) Virion The immunity caused by the Blymphocytes is called (a) Sterile immunity (b) Acquired Immunity (c) Cellular Immunity (d) Humoral Immunity Who among the following enjoyed the patronage of Sultans from Balban to Ghiyas-ud-din Tughlaq? (a) Ibn Batutah (b) Badauni (c) Zia-ud-din Barani (d) Amir Khusrow
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67. The Sufi movement originally started from (a) Persia (b) Delhi (c) Lahore (d) Kabul 68. Humayun was driven out of Hindustan in 1540 AD after the battle of (a) Chausa (b) Dourah (c) Surajgarh (d) Kannauj 69. Poly metallic nodules (also called manganese nodules) are found in concentrations (a) on continental shelves (b) in deep ocean beds (c) on lake beds (d) in beach sands 70. Spot the odd item in the following (a) Meander (b) Delta (c) Bolson (d) Ox-bow lake 71. Kandla port is located at (a) Gulf of Khambat (b) Kori Creek (c) Gulf of Kutch (d) None of these 72. Which of the following forests grows in waterlogged areas? (a) Mangrove (b) Evergreen (c) Deciduous (d) Coniferous 73. Nag Tiba and Mahabharat ranges are included in (a) Sub-Himalayas (b) Trans-Himalayas (c) Greater Himalayas (d) Lesser Himalayas 74. Pink mould is the common name for (a) Aspergillus (b) Rhizopus (c) Neurospora (d) Mucor 75. The sleeping sickness is caused by (a) Escherichia (b) Neisseria (c) Entamoeba (d) Trypanosoma 76. Combustion is a (a) physicai and chemical process (b) biological process (c) physical process (d) chemical process
77. Which of the following is not a form of carbon? (a) Soot (b) Hematite (c) Graphite (d) Charcoal 78. What is Dry Ice? (a) Solid carbon dioxide (b) Liquid nitrogen (c) ice cubes and saw dust (d) Ice cubes and salt 79. The gas commonly used in advertisement sign-boards and decorative lights is (a) nitrogen (b) chlorine (c) hydrogen (d) neon 80. Flow of blood in dorsal blood vessel of earthworm is (a) sideward (b) downward (c) backward (d) forward 81. Which of the following is biodegradable? (a) Leather belts (b) Silver foil (c) Iron nails (d) Plastic mugs 82. Fungi that grow on bark are said to be (a) Xyiophilous (b) Saxicolous (c) Coprophilous (d) Corticolous 83. To an astronaut in space the sky will appear to be (a) violet (b) red (c) blue (d) black 84. On a rainy day, small oily films on water show brilliant colours. This is due to (a) scattering (b) dispersion (c) refraction (d) polarisation 85. Natural radioactivity was discovered by (a) Rutherford (b) Marie Curie (c) Henri Becquerel (d) Enrico Fermi 86. Rainbow formation is due to (a) absorption of sunlight by water droplets (b) diffusion of sunlight through water droplets (c) ionisation of water droplets (d) refraction and reflection of sunlight by water droplets
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87. CAD stands for (a) Computer Automatic Design (b) Computer Aided Decode (c) Computer Automatic Decode (d) Computer Aided Design 88. Unix operating system is generally known as (a) Multi User Operating System (b) General Application (c) Single User Operating System (d) Single User Application Program 89. Who holds the world record as the youngest person to climb Mount Everest? (a) Santosh Yadav (b) Phu Dorjee (c) Bachendri Pal (d) Dicky Dolma 90. Hyperplasia means (a) abnormal increase in number of cells (b) an increase in size of a cell (c) excessive motility of muscle (d) voracious eating 91. The part of root involved in water absorption is (a) zone of elongation (b) zone of root cap (c) zone of cell division (d) zone of root hairs 92. Who is the Prime Minister of Australia? (a) Tony Abbott (b) Kevin Rudd (c) Julia Gillard (d) None of these 93. Which of the parent country of mobile giant ‘Nokia’? (a) Finland (b) Sweden (c) Spain (d) Germany 94. Where was the Joint G-20 Finance and Labour Ministers Meeting held on July 19, 2013? (a) New York (b) Paris (c) Moscow (d) London 95. Which is the largest man-made lake? (a) Baikal (b) Wullar (c) Govind Sagar (d) Rana Pratap Sagar
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96. Who took oath as the President of Iran on August 4, 2013? (a) Hassan Rouhani (b) Mohammad Bashir Ahmad (c) Mohammad Bagher Ghalibaf (d) Mahmoud Ahmadinejad 97. Who was sworn-in as the United States Ambassador to the United Nations by Joe Biden on August 1, 2013? (a) Rosemary DiCarlo (b) Samantha Power
(c) Zalmay Khalizad (d) Susan Rice 98. Who won the Rogers Cup women’s singles in lawn tennis in 2013? (a) Victoria Azarenka (b) Agnieszka Radwanska (c) Maria Sharapova (d) Serena Williams 99. Who was appointed as the Chairperson of the National School of Drama on August 19, 2013?
(a) Adly Mansour (b) Sasikumar Venkat (c) Amal Allana (d) Ratan Thiyam 100. To which channel did the International Olympic Committee sell the broadcasting rights for 2014 and 2016 Olympics? (a) Set Max (b) Zee sports (c) STAR India (d) Doordarshanz
QUANTITATIVE APTITUDE 101. Subhash can copy 50 pages in 10 h; Subhash and Prakash can copy 300 pages in 40 h. In how much time can Prakash copy 30 pages? (a) 12 h (b) 9 h (c) 13 h (d) 10 h 102. Rajesh is in-charge of buying bread rolls and buns for a party. There are 10 buns in each box of buns and 8 bread rolls in each box of bread rolls. Rajesh wants to buy exactly the same number of buns and bread rolls. What is the smallest number of boxes he should buy for buns alone? (a) 10 (b) 8 (c) 4 (d) 5 103. Simplify x – 1 1+ –2 x 2 4
105.
106.
107.
2
(a)
x4 + 1 2x2
(c)
x4 + 2 x 2 – 1 2 x2
(b)
x2 + 1 2x2
x4 – 1 2 x2 104. If a job is to be completed in 10 days, it requires 270 persons. If 180 persons take up the same job, they will finish it in
108.
(d)
109.
(a) 27 days (b) 12 days (c) 15 days (d) 18 days A certain number of men can finish a piece of work in 100 days. However, if there were 10 men less, then it would take 10 days more for the work to be finished How many men were there originally? (a) 110 (b) 75 (c) 50 (d) 100 A square lawn has path 4 m wide around it. If the area of the path is 196 m2, then each side of the lawn is (a) 7.25 m (b) 9.25 m (c) 8.25 m (d) 8 m A cloth merchant has announced 25% rebate on marked price. If one needs to have a rebate of Rs. 40, then how many shirts, each with a marked price of Rs. 32, should he purchase? (a) 7 (b) 8 (c) 5 (d) 6 One dozen pairs of socks quoted at Rs. 160 are available at a discount of 10%. Find how many pairs of socks can be bought for Rs. 60. (a) 6 pairs (b) 8 pairs (c) 5 pairs (d) 7 pairs A machine is marked at Rs. 7500 for sale. The shopkeeper allows successive discounts of 8%, 5% and 2% on it. The net selling price (in Rs.) is
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(a) 6427.50 (b) 6415.40 (c) 6400.30 (d) 6423.90 110. The surface area of two spheres are in the ratio 4 : 9. What is the ratio of their volumes? (a) 8 : 27 (b) 16 : 81 (c) 2 : 3 (d) 4 : 9 111. On increasing the diameter of a circle by 75%, the percentage increase in the perimeter is (a) 75% (b) 80% (c) 65% (d) 70% 112. If the perimeter of an equilateral triangle is 42 cm, its area, (in sq cm) will be (a) 24 3
(b)
(c) 7 3
(d) 14 3
113. If x +
49 3
1 = 1, (x ≠ 0), then the value x
x 2 + 3x + 1 is x2 + 7x + 1
of
1 2 114. If a + b + c = 0, find the value of (a) 1
1 a3 +
(b) 2
+
(c) 0
1 1 + 3 3 b c
1 1 3 + (b + c ) (b + c ) 3
+
(d)
1 ( a + b )3
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(a) –1 (c) 1
(b) 3abc (d) 0
1 1 + = 4, then y x the value of x3 + y3 is (a) 52 (b) 64 (c) 4 (d) 25 (a2 + 2a)2 + 12(a2 + 2a) – 45 can be expressed as (a) (a – 1) (a –3) (a2 + 2a + 15) (b) (a – 1) (a + 3) (a2 + 2a + 15) (c) (a + 1) (a + 3) (a2 + 2a + 15) (d) (a + 1) (a – 3) (a2 + 2a + 15) The ratio of the first and second class fares between two stations is 4 : 1 and that of the number of passengers travelling by the first and second class is 1 : 40. If Rs. 11000 is collected as total fare, then the amount collected from the first class passengers is (a) Rs. 1375 (b) Rs. 3150 (c) Rs. 800 (d) Rs. 1000 The average age of three boys is 15 yr. If their ages are in the ratio of 3 : 5 : 7, then the age of the youngest boy (in yr) is (a) 18 (b) 21 (c) 9 (d) 15 Of three numbers, the first is twice the second and the second is thrice the third. If the average of the three numbers is 10, then the largest number is (a) 12 (b) 18 (c) 30 (d) 15 A man purchased a car for Rs. 135000 and spent Rs. 25000 on repairs. At what price was the car sold if he suffered 10% loss on it? (a) Rs. 176000 (b) Rs. 144000 (c) Rs. 121500 (d) Rs. 150000 In the certain examination, 77% candidates passed in English and 34% failed in Mathematics. If 13% failed in both the subjects and 784 candidates passed in both the subjects, then the total number of candidates was (a) 1600 (b) 1800 (c) 1200 (d) 1400 A train 120 m long runs through a station at the speed of 54 km/h.
115. If x + y = 4 and
116.
117.
118.
119.
120.
121.
122.
123.
124.
125.
126.
127.
128.
129.
The time taken by the train to pass a man standing on the platform (a) 7s (b) 8s (c) 5s (d) 6s A, B and C start together from the same point to travel around a circular island 30 km in circumference. A and B are travelling in the same direction and C is in the opposite direction. If A travels 5 km, B travels 7 km and C travels 8 km in an hour, then they all come together again after (a) 25 h (b) 30 h (c) 15 h (d) 20 h At what rate will a sum of Rs. 1000 amount to Rs. 1102.50 in 2 yr at compound interest? (a) 6% (b) 6.5% (c) 5% (d) 5.5% Radii of two circles are 6.3 cm and 3.6 cm. If they touch each other internally, then the distance between their centres is (a) 9.1 cm (b) 2.7 cm (c) 3.7 cm (d) 10.1 cm There is a circle of radius 5 cm and the perpendicular distance from the centre of the circle to the chord of the circle is 3 cm. Then, the length of the chord is (a) 6 cm (b) 5 cm (c) 8 cm (d) 4 cm In a ∆ABC, ∠A – ∠20°, ∠B –∠C = 32°. Then, the ∠A is (a) 84° (b) 90° (c) 75° (d) 80° The bisector of ∠BAC of ∆ABC cuts BC at and D and the circumcircle of the triangle at E. If DE = 3 cm, AC = 4 cm and AD = 5 cm, then the length of AB is (a) 9 cm (b) 10 cm (c) 7 cm (d) 8 cm In two ∆ABC and ∆PQR,
AB = PQ BC = QR , and extended m ∠ABC = 120° and extended m ∠PQS = 120°. Then, by which condition are the two triangles congruent?
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(a) Side – Angle – Side (b) Angle – Side – Side (c) Angle – Side – Angle (d) Side – Side – Side 130. If an equilateral triangle ABC is inscribed in a circle with centre at 0, then ∠BOC, ∠COA and ∠AOB are respectively (a) 50°, 60°, 70° (b) 120°, 120°, 120° (c) 60°, 60°, 60° (d) 80°, 120°, 160° 131. If x = 3 + 2 2 , then the values of 1 1 and x 3 – 3 x3 x respectively x3 +
are
(a) 140 2, 198(b) 234, 216 (c) 216, 234 (d) 198,140 2 132. Given that a + b +c = 2 and ab + bc + ca = 1, then the value of (a + b)2 + (b + c)2 + (c + a)2 is (a) 10 (b) 16 (c) 6 (d) 8 133. If x2 + 4x + 3 = 0, then the value of x3 is x 6 + 27 x 3 + 27
(a) –1
(b)
–
1 2
1 2 134. Find the area of the triangle
(c) 1
(d)
9C + 32 5 with the F-axis and C-axis.
formed by the graph F =
(a)
2760 sq unit 9
(b)
2760 sq unit 9
(c)
2860 sq unit 9
(d)
2560 sq unit 9
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135. If in a ∆ABC, AB is smaller than AC, then AC – AB is (a) = BC (c) < BC 136.
1 AC 2 (d) > BC (b) <
1 + sin θ is equal to 1 – sin θ (a) sec θ + tan θ (b) sec θ – tan θ (c) cosec θ + cot θ (d) cosec θ – cot θ 3 π and 0 < θ < and 4 2 25x sin2θ cos θ = tan2θ, then the value of x is
137. If tan θ =
(a) cot A cot B (b) sec A cosec B (c) tan A tan B (d) None of these 141. The angle subtended at the centre of a circle by an arc length equal in length to the radius of the circle is defined as (a) one radian (b) 90 degrees (c) one grade (d) one degree 142. If sin x + sin2 x = 1, then the value of cos2 x + cos4 x is (a) 2 (b) 2.5 (c) 1 (d) 1.5 143. The value of a sector in a pie-chart is equal to
(a)
7 64
(b)
9 64
(a)
(c)
3 64
(b)
5 64 138. A kite flying at a height of 45 m from the level ground is attached to string inclined t 60° to the horizontal. The length of the string is (d)
(a)
30 2
m
(c)
Angle of the sector × 100 360° Angle of the sector × Total 360° value of the data Angle of the sector × Total 180° value of the data
Angle of the sector × 100 180° 144. In the figure, AB || CD and EF intersects them. Then, the value of x is (d)
E
(b) 30 5 m (c) 30 3 m (d) 30 2 m 139. If a sec θ = x and b tan θ = y, then how are x and y connected with a and b? (a) a2x2 –b2y2 = a2b2 (b) b2x2 – a2y2 = a2b2 (c) a2x2 + b2y2 = a2b2 (d) b2x2 + a2y2 = a2b2 tan A + tan B 140. is equal to cot A + cot B
2x A
B 4x + 12°
C
D F
(a) 18° (c) 28° (d) 24°
(b) 14°
Directions (Q. Nos. 145-150) Study the following chart and answer the questions given below the chart.
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145. If in the year 1998, the boxes were exported at the same rate per box as that in 1997, what would be the value (in crore of Rs.) of export in 1998? (a) 330 (b) 400 (c) 352 (d) 375 146. What is the difference between boxes (in lakh) exported in the years 1996 and 1997? (a) 50 (b) 25 (c) 100 (d) None of these 147. In which year was the value per aluminium box the minimum? (a) 1996 (b) 1998 (c) 1999 (d) 1995 148. What is the difference (in lakh) between the boxes exported in the years 1997 and 1998? (a) 100000 (b) 1000000 (c) 10 (d) 1000 149. What was the aproximate percentage increase in export value from the years 1995 to 1999? (a) 375 (b) 200 (c) 333.3 (d) None of these 150. What was the percentage drop in export quantity from the years 1995 to 1996? (a) 75 (b) 25 (c) 50 (d) None of these
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ENGLISH COMPREHENSION Directions (Q.Nos. 151-155) In the following questions, some parts of the sentence have errors and some are correct. Find out which part of a sentence has an error. If a sentence is free from error, mark (d) as your answer. 151. With our great annoyance (a)/we found the ground (b)/filled with broken glasses. (c)/No error (d) 152. The new device (a)/aims at eliminating (b)/the risk of shortcircuiting. (c)/No error (d) 153. I wish to heartily (a)/congratulate you for (b)/your astounding success. (c)/No error (d) 154. The visitor took the vacant seat (a)/next from mine (b)/one of the many huge sofas in the room. (c)/ No error (d) 155. He was (a)/a learnt man among lords, (b)/and a lord among learned men. (c)/No error (d) Directions (Q.Nos. 156-160) In the following questions sentences are given with blanks to be filled in with an appropriate word (s). Four alternatives are suggested for each question. Choose the correct alternative out of the four. 156. The book provides an overview of European wines that should prove inviting to both the virtual ........ and the experienced connoisseur. (a) prodigal (b) novice (c) zealot (d) glutton 157. The Sun is shining brightly, please ........... the light. (a) put off (b) put out (c) take off (d) put on 158. This practice was brought ........... to prevent certain abuses. (a) about (b) in (c) down (d) off 159. This package was supposed ........... yesterday. (a) to have been delivered
(b) to deliver (c) to be delivering (d) not to be delivered 160. Her true feelings manifested themselves in her sarcastic remarks, only then was her ........ revealed. (a) sweetness (b) bitterness (c) sarcasm (d) charm Directions (Q.Nos. 161-163) In the following questions out of the four alternatives, choose the one which best expresses the meaning of the given word. 161. Brutalize (a) Devise (b) (c) Stir (d) 162. Pinnacle (a) Summit (b) (c) Capusle (d) 163. Garble (a) Communicate (b) Explain (c) Confuse (d) Hide
Strike III-treat Pit Heart
Directions (Q.Nos. 164-166) In the following questions choose the word opposite in meaning to the given word. 164. Seamy (a) Unpleasant (b) Sincere (c) Honest (d) Pure 165. Cease (a) Confront (b) Confiscate (c) Abandon (d) Initiate 166. Denounce (a) Grant (b) Praise (c) Signify (d) Confirm Directions (Q.Nos. 167-171) In the following questions four alternatives are
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given for the Idiom/Phrase underlined in the sentence. Choose the alternative which best expresses the meaning of the Idiom/Phrase. 167. Ask Mr. Das. He can give you all the news you need. He is always in the swim. (a) in search of news (b) well-informed and upto date (c) giving news to others (d) at the swimming pool 168. You have been trying to solve this puzzle for a long time, be careful, so that you avoid barking up the wrong tree. (a) keep working constantly (b) climbing the wrong tree (c) trying to solve problems (d) trying to find something at a wrong place 169. I’ll be able to do my job very well when I know the ropes. (a) learn the procedures (b) gain confidence (c) become bolder (d) work in silence 170. The secretary’s thoughtless remark added fuel to the fire. (a) helped in improving the situation (b) prevented the situation (c) added humour to the situation (d) worsened the difficult situation 171. He could not get money from his master because he rubbed him up the wrong way. (a) suggested a wrong method (b) advised him to be strict (c) Irked or irritated him (d) asked him to speed up Directions (Q.Nos. 172-181) In the following questions sentence /a part of the sentence is underlined. Below are given alternatives to the underlined part at (a), (b), (c) which may improve the
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sentence. Choose the correct alternative. In case no improvement is needed, your answer is (d). 172. The government representative furnished the reporters all details. (a) provided the reporters all details (b) furnished reporters all details (c) furnished the reporters with all the details (d) No improvement 173. It was raining so heavily yesterday that I could not move out for may usual walk. (a) I could not go out for my usual walk (b) I could not move for my usual walk (c) I could not go to my usual walk (d) No improvement 174. Ram filled ink into his pen before leaving for school. (a) filled ink in his pen (b) filled his pen with ink (c) filled ink on his pen (d) No improvement 175. The toys he bought for Suzy are too to be cheap. (a) are so much good to be cheap (b) are so good that to be cheap (c) were so good to be cheap (d) No improvement 176. I did one mistake in the dictation test today. (a) I made a mistake in (b) I did a mistake in (c) I did a mistake at (d) No improvement 177. John has been detained at a meeting. (a) by the meeting (b) on a meeting(c) in meeting (d) No improvement 178. The butler was as devoted as a faithful dog. (a) a faithful cat (b) a faithful pet (c) a faithful friend (d) No improvement
179. He denied that he had not forged my signature. (a) would not forge (b) had forged (c) did not forge (d) No improvement 180. There is an error in grammar in the sentence. (a) a written error (b) a grammar error (c) a grammatical error (d) No improvement 181. To his astonishment and admiratior, he got the information that it was only the picture of a curtain. (a) found (b) saw clearly (c) received the information (d) No improvement Directions (Q.Nos. 182-188) In the following questions out of the four alternatives, choose the one which can be substituted for the given words/ sentence. 182. Having a stale small or taste. (a) Savoury (b) Tepid (c) Rancid (d) Insipid 183. A wooden object used for connecting animals that are pulling a vehicle. (a) Whip (b) Yoke (c) Rein (d) Leash 184. A man who knows a lot about things like food, music and art. (a) Hostage (b) Connoisseur (c) Priest (d) Optimist 185. A doctor who specializes in diseases of the nose. (a) Pathologist (b) Podiatrist (c) Rhinologist (d) Otologist 186. Study of caves.
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(a) Topology (b) Numismatics (c) Speleology (d) Seismology 187. Government be the few. (a) Monarchy (b) Anarchy (c) Oligarchy (d) Autocracy 188. Materials that change naturally by the action of bacteria. (a) Biological (b) Biodegradiable (c) Inflammable (d) Perishable Directions (Q.Nos. 189 and 190) In the following questions four words are given in each question, out of which only one word is correctly spelt. Find the correctly spelt word. 189. (a) (b) (c) (d) 190. (a) (b) (c) (d)
Extirpate Extripaite Exterpate Exitrpeit Intelligibility Inteligibility Inteligibelity Inteligibillity
Directions (Q.Nos. 191-200) You have two brief passages with five questions following each passage. Read the passages carefully and choose the best answer to each question out of the four alternatives. Passage I A crucial element that defines the soap opera is the open-ended nature of the narrative, with stories spanning several episodes. One of the defining features that makes a television program a soap opera, according to Albert Moran, is “that form of television that works with a continuous open narrative. Each episode ends with a promise that the storyline is to be continued in another episode.” In 2012, Robert. Lloyd of the Los Angeles Times wrote of daily dramas, “Although melodramatically eventful,
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soap operas such as this also have a luxury of space that makes them seem more naturalistic, indeed, the economics of the form demand long scenes and conversations that a 22-episodes-perseason weekly series might dispense with half a dozen lines of dialogue may be drawn out, as here, for pages. You spend more time even with the minor characters the apparent villains grow less a apparently villainous. Soap opera storylines run concurrently, intersect and lead into further developments An individual episode of a soap opera will generally switch between several different concurrent “.arrative threads that may at times interconnect and affect one another or may run entirely independent of each other. Evening soap operas and serials that run for only a part of the year tend to bring things to a dramatic end-ofseason cliffhanger. 191. What does the author mean ‘by the open -ended nature of soap operas? (a) Every episode ends shruptly (b) Consecutive episodes nave no connection (c) Each episode ends with a promise that the storyline is to be continued in another episode (d) Every episode has a different story 192. A soap opera has the space for it to be more (a) dramatic (b) tragic (c) artistic (d) naturalistic 193. The economics of a soap opera form demands for it to have (a) melodramatic events (b) promising storylines (c) long scenes (d) luxurious space 194. An individual episode of a soap opera generally switches between (a) successive intersections of events
(b) different concurrent narrative threads (c) more time spent with minor characters (d) apparent villains that grow less apparent villainous 195. Soap operas that run for a part of the year usually end in (a) a cliffhanger (b) a sequence (c) a cliff (d) an episode Passage II Two or three days and nights went by, 1 reckon I might say they swam by they slid along so quiet and smooth and lovely. Here is the way we put it in the time. It was a monstrous big river down there-sometimes a mile and a half wider we ran rights, and laid up and hid daytimes, soon as night was most gone we stopped navigating and tied up nearly always in the dead water under a towhead and then cut young cotton woods and willows and hid the roft with them-Then, we set out the lines. Next we slid into the river and had a swim, so as to freshen up and cool, off then we set down on the sandy bottom where the water was about knee deep and watched the daylight come. Not a sound anywhere-perfectly shill just like the whole word was asleep, only sometimes, the bullfrogs a cluttering maybe. The first thing to see, looking away over the water, was a kind of dull line- that was the woods on other side, you couldn’t make nothing else out, then a pale place in the sky, then more paleness spreading around, then the river softened up away off and warm black any more, but gray you could see little dark spots drifing along ever so far away-trading scowe and such things and long black streaksrafts sometimes you could hear a sweep creaking, jumbled up voices, it was so still and sounds comes so far and by and by you could see a streak on the water which you know by the look of the
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streak that there’s snag there in a current which breaks on it and makes that streak look that way. 196. How did the days and nights go by, according to the writer? (a) They slid along so smooth and soft and quietly (b) They slid along so quietly and smooth and softly (c) They slid along so quiet and smooth and lovely (d) They slid along so smooth and quietly 197. They stopped navigating (a) at daytime (b) at dawn (c) at night (d) at dusk 198. After a swim in the moor they (a) set down on the sandy shore and watched the daylight come (b) set down on the sandy bottom and watched the daylight come (c) set down on the sandy bottom where the water was about ankle deep and watched the daylight come (d) set down on the sandy bottom where the water was about knee deep and watched the daylight come 199. In the stillness of the night (a) the whole world was asleep (b) a sweep creaking or jumbled up voices could be heard (c) sound come so far (d) the bullfrogs also were asleep 200. The streak on the water looks as it does because (a) of a sang there in the swift current which breaks on it (b) the streak has been swept by the swift current (c) the swift current has broken the streak (d) the streak has been swept by the swift current to the shore
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ANSWERS 1. (c) 11. (b) 21. (c) 31. (d) 41. (a) 51. (c) 61. (c) 71. (c) 81. (a) 91. (d) 101. (a) 111. (a) 121. (d) 131. (d) 141. (a) 151. (a) 161. (d) 171. (c) 181. (a) 191. (c)
2. (a) 12. (b) 22. (a) 32. (b) 42. (b) 52. (c) 62. (d) 72. (a) 82. (d) 92. (a) 102. (c) 112. (b) 122. (b) 132. (c) 142. (c) 152. (c) 162. (a) 172. (c) 182. (c) 192. (d)
3. (*) 13. (d) 23. (b) 33. (c) 43. (d) 53. (b) 63. (a) 73. (d) 83. (d) 93. (a) 103. (a) 113. (d) 123. (b) 133. (a) 143. (b) 153. (b) 163. (c) 173. (a) 183. (b) 193. (c)
4. (c) 14. (d) 24. (c) 34. (d) 44. (b) 54. (a) 64. (b) 74. (b) 84. (b) 94. (c) 104. (c) 114. (d) 124. (c) 134. (d) 144. (c) 154. (b) 164. (d) 174. (b) 184. (b) 194. (b)
5. (c) 15. (d) 25. (b) 35. (d) 45. (c) 55. (a) 65. (d) 75. (d) 85. (c) 95. (c) 105. (a) 115. (a) 125. (b) 135. (c) 145. (c) 155. (b) 165. (d) 175. (d) 185. (c) 195. (a)
6. (c) 16. (c) 26. (c) 36. (a) 46. (d) 56. (b) 66. (c) 76. (d) 86. (d) 96. (a) 106. (c) 116. (b) 126. (c) 136. (a) 146. (d) 156. (b) 166. (b) 176. (a) 186. (c) 196. (c)
7. (d) 17. (d) 27. (a) 37. (d) 47. (c) 57. (a) 67. (a) 77. (b) 87. (d) 97. (b) 107. (c) 117. (d) 127. (a) 137. (d) 147. (d) 157. (b) 167. (b) 177. (d) 187. (c) 197. (b)
8. (b) 18. (b) 28. (d) 38. (b) 48. (d) 58. (a) 68. (d) 78. (a) 88. (a) 98. (d) 108. (c) 118. (c) 128. (b) 138. (c) 148. (c) 158. (b) 168. (d) 178. (d) 188. (b) 198. (d)
9. (c) 19. (c) 29. (a) 39. (b) 49. (c) 59. (c) 69. (b) 79. (d) 89. (d) 99. (d) 109. (d) 119. (b) 129. (b) 139. (b) 149. (c) 159. (b) 169. (a) 179. (b) 189. (a) 199. (a)
10. (b) 20. (b) 30. (a) 40. (a) 50. (b) 60. (d) 70. (c) 80. (d) 90. (a) 100. (c) 110. (a) 120. (b) 130. (c) 140. (c) 150. (b) 160. (b) 170. (d) 180. (c) 190. (a) 200. (a)
EXPLANATIONS 1. As, Optimist is always Cheerful, in the same way Pessimist is always Gloomy.
4. As,
2. As
Same as, Same as,
3. As,
Same as,
5. As, 225 : 256 → (15)2 : (15 + 1)2 Same as, 289 : 324 → (17)2 : (17 + 1) 2 6. As, Money can be Misappropriation, in the same way Writing can be Plagiarism. 7. Except Ally, all other are harmful for us.
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8. Except 35, all other are multiples of 9. 9. Except 11-115, in all others options right side number can get by multiplication of left number and one less from left number. 10. Except OPRS, all other are increasing by + 1, + 1, + 2. 11. Cape is different from others. 12. The meaningful order of the given words is as follows Seed → Embryo → Germination → Plant → Flower → Fruit 13. The order of given words as per the English dictionary is as follows Literacy → Litter → Little → Live → Living 14. ip/ig/up/og/ip/ig/up/og/ip/ig Hence, option (d) is the right answer.
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15. A K G L M N D Q K G C S NG K T G K G N DZPUX
GK E Thus, in the given series two ‘KGN’ occur in such a way that ‘G’ is in the middle and ‘K’ and ‘N’ are adjacent to it on both sides.
21.
22.
23.
16.
Therefore, in the above series, 7 will be come in the place of question mark. 17.
Hence, in the above series, OLC will be come in the place of question mark. 18. The sequence of given series is as follows 7× 1+1=8 ⇒ 8 × 2 + 2 = 18 18 × 3 + 3 = 51 ⇒ 57 × 4 + 4 = 232 232 × 5 + 5 = 1165 Hence, in the series, 232 will be come in the place of question mark. 19. According to the question, Mohan > Kamal > Sachin > Ram ...(i) and Kamal > Arun > Sachin ..(ii) So, from Eqs. (i) and (ii), Mohan > Kamal > Arun > Sachin > Ram ...(iii) It is clear from Eq. (iii) that the second tallest is Kamal. 20. Making the relation diagram from information given,
24.
Hence, it is clear from diagram that C is wife of D. ‘MARCY’ word can be formed using the letters of the given main word DEMOCRACY. Due to absence of letter ‘L’ in the given main word, ‘RELATION’ word cannot be formed. Given, Mr. Mani’s present age = 47 yr and John’s present age = 13 yr Let, in x yr Mr. Mani’s age be double of John’s age. According to the question, 47 + x = 2 (13 + x) ⇒ 47 + x = 26 + 2x ⇒ 2x – x = 47 – 26 ⇒ x = 21 yr Hence, after 21 yr Mr. Mani’s age be double of John’s age. As,
⇒
176 × 100 22 = 8 × 100 ⇒ x= 800 Now number of student got first class = 34% of 800 ⇒
28.
29.
30.
27. Let total student appeared in an exam = x Then, 22% of x = 176
x=
34 × 800 100 = 34 × 8 = 272 Meaningful word can be formed from the given word is CODING. Sequence of this word is as below C O D I N G 3 →4→5→2→6→1 Given equation, (8 * 7 * 6) * 5 * 10 Now, replacing * sign with the mathematical sign of option (a), (8 × 7 – 6) ÷ 5 = 10 ⇒ (56 – 6) ÷ 5 = 10 ⇒ 50 ÷ 5 = 10 ⇒ 10 = 10 Hence, option (a) is the right answer. After changing the sign of equation given in option (a) as per the question, 10 – 3 + 5 + 4 = 16 ⇒ 7 + 5 + 4 = 16 ⇒ 16 = 16 Hence, option (a) is the rith answer. As, 5 * 3 = 125 ⇒ (5)3 = 125 and 4 * 3 = 64 ⇒ (4)3 = 64 Same as, 8 * 2 = ? =
Similarly,
25. As, CH A R A C T E R ↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓ 2 4 1 6 1 2 3 7 6 and CH I L D R E N ↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓ 2 4 8 5 9 6 7 0 Similarly, H I R A L A L ↓ ↓ ↓ ↓ ↓ ↓ ↓ 4 8 6 1 5 1 5 26. According to the question,
22 × x = 176 100
31.
⇒
(8)2 = 64 ∴ ? = 64 32. As, 9 × 6 – 5 = 49 and 7 × 8 – 4 = 52 Same as 4 × ? – 3 = 25 ⇒ 4 × ? = 25 + 3 = 28 ⇒
?=
28 =7 4
?= 7
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33. As, 4 + 22 – 10 = 16 and 8 + 14 – 5 = 17 Same as, 10 + ? – 3 = 18 ⇒ 7 + ? = 18 ⇒ ? = 18 – 7 = 11 ⇒
39.
I
D
34. As, (2) and (4)2 + (5)2 = 16 + 25 = 41 Same as, (3)2 + (4)2 = 9 + 16 = 25 35. Books
Journals
40.
Papers
41. It is clear from the diagram that only Conclusion II follows. 36. Walking diagram of Pratap is as follow
42.
43.
2 km N 3 km
4 km
W
H K C
F
Number of such triangles are as follows ∆AGI, ∆AEI, ∆EBJ, ∆BHJ, ∆HCK, ∆CFK, ∆FDL, ∆DLG, ∆OGE, ∆OEH, ∆OHF, ∆GAE, ∆EBH, ∆HCF, ∆FDG, ∆FGE, ∆GEH, ∆EHF, ∆HFG = 20 Answer figure (a) can be formed from the cut-pieces given in the question figure. Answer figure (a) will be formed on folding the question figure. Letter Q represents those Actors who are also Dancers, Singers as well as Violinists. Machinery comes under the group of Factory and Product can be formed by the Machinery.
49. C → 04, 88, O → 11, 30, 57, 78, 89, S → 14, 23, 41, 69, 99, T → 31, 33, 76, 96 ∴ COST → 04, 11, 41, 76 50. Answer figure (b) is the correct mirror image of the question figure. 101. Number of pages copied by 50 = 5 and 10 number of pages copied by Subhash and Prakash in 1 h Subhash in 1 h =
300 15 = 40 2 Subhash + Prakash can copy 15/2 Pages in 1 hour. So Prakash can
=
copy =
LCM of 10 and 8 = Number of buns in a box
Product
S
It is clear from diagram that he is facing South direction now. 37. Walking diagram of Vijay is as follow. 10 km
Machinery
=
Factory
44. Both Train and Bus are different types of transport medium used by Travellers.
A
12 km
10 km
2
= 1+
( x 4 –1) 2 4 x4
N
W C
40 =4 10 x 4 – 1 1+ –2 x 2
103.
Travellers 12 km
15 5 −5 = pages is 1 2 2
hour. Therefor Prakash can copy 30 pages in 12 hour 102. Smallest number of boxes for buns alone
E
7 km
D
J
L
? = 11
B
O
G
2 + (3)2 = 4 + 9 = 13
Files
E
A
E
Train
=
4 x 4 + x8 + 1 – 2 x 4 4 x4
=
( x 4 + 1) 2 = (2 x 2 ) 2
Bus
B
S
Point A is the starting point and D is the ending point of walking of Vijay. Now, Vijay’s distance from starting point = AD = BC = 10 km 38. As per the conclusion we may conclude that ....... there is a steady increase of the fertilizer consumption.
45. Answer figure (c) will complete the pattern of the question figure. 46. Answer figure (d) will complete the pattern of the question figure. 47. Answer figure (c) will appear when a piece of paper is folded and cut as shown in the question figure. 48. Question figure is hidden/ embedded in the answer figure (d).
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=
x 4 + 1 2x2
x4 + 1 2x2
104. Men 270 180
Days 10 x 270 x = 180 10
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⇒
x × 180 = 270 × 10
270 × 10 = 15 180 ⇒ x= 15 days 105. Let, men in beginning = x =
Days
Men x (x–10)
100 110
Now, cost of 1 pair of socks =
144 12
= Rs. 12 Q Number of socks obtain in Rs. 12 = 1 pair ∴ Number of socks obtain in
x 110 = x – 10 100 ⇒ 100x = 110x – 1100 ⇒ 110x – 100x = 1100 ⇒ 10x = 1100 ⇒ x= 110 106. Let each side of the square lawn =x m Then, according to the question, ⇒ (x + 4 + 4)2 – (x)2 = 196 ⇒ (x + 8)2 – x2 = 196 ⇒ x2 + 64 + 16x – x2 = 196
V1 8 V2 = 27 ⇒ V1 : V2 = 8 : 27 111. Let, diameter of circle = d Perimeter = 2πr = π2d [Q d = 2r] ⇒
1 pair 12 ∴ Number of socks obtain in 1 × 60 pair = 5 pairs 12 109. Selling price of machine
Then, new diameter = d +
Rs. 60 =
100 – 8 100 – 5 = 7500 × × 100 100 100 – 2 × 100 = 7500 ×
x (x+4+4)
132 = 8.25 ⇒x= 16 ⇒ x = 8.25 m
92 95 98 × × 100 100 100
Now, new perimeter = π ×
=
7π d 7d – πd = π – d 4 4
Now, percentage increase in πd × perimeter =
πd
Surface area of second sphere
1 shirts 8
1 ∴ Rebate of Rs. 40 gets = × 40 8 = 5 shirts 108. Cost price of 1 dozen pairs of socks. 160 × 10 = 160 – = 160 – 16 100 = Rs. 144
7d 4
3 3d 3π d = π = = πd × 4 4 4
3 × 23 × 95 × 98 642390 = 100 100 = Rs. 642390 110. Given, Surface area of first sphere
25 107. Rebate on one shirt = 32 × 100 = Rs. 8 Now, rebate of Rs. 8 gets = 1 shirt ∴ Rebate of Rs. 1 gets =
3d 7d = 4 4
7π d 4 ∴ Increase in perimeter
=
⇒ 16x = 196 – 64 = 132
=d+
d × 75 100
=
3 × 92 × 95 × 98 = 100 × 4
4
⇒
[From Eq. (i)]
Rs. 1 =
∴
V1 2 3 V2 = 3
3 4 × 100%
3 × 100% = 75% 4 112. We know that perimeter of equilateral triangle = 3 × side ⇒ 42 = 3 × side
4π r12 4 = = 4π r22 9
=
2
⇒
r1 4 r = 9 2
⇒
r1 2 r2 = 3
42 = 14 3 ⇒ Side = 14 cm Now, area of equilateral triangle ⇒
...(i)
Side =
Volume of first sphere
Now, Volume of second sphere 4 3 3 πr r1 3 1 = = 4 3 r2 π r2 3
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=
3 × (side)2 4
=
3 3 × (14)2 = × 14 × 14 4 4
= 49 3 cm2
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113. Given, x +
1 =1 x
1 x x + 3+ x x + 3x + 1 ∴ 2 = 1 x + 7x +1 x x + 7 + x 2
1 x+ +3 1+ 3 x = = 1 1+ 7 x+ +7 x 1 Q x + x = 1 4 1 = = 8 2 114. Given, a + b + c = 0 ∴ a + b =– c b + c =– a c + a =– b
∴
1 1 1 1 + 3 + 3 + 3 + ( a + b )3 a b c
1 1 3 + (b + c ) (c + a)3 =
1 1 1 1 + 3 + + 3 + 3 (– c )3 a b c
1 1 3 + (– a) (–b)3 1 1 1 1 1 = 3 + 3 + 3 – 3 – 3 – a b c c a 1 =0 b3 115. Given,
and
a × 11000 a+b Where, a = 4 and b = 40 =
4 4 × 11000 × 11000 = 4 + 40 44 = Rs. 1000 118. Let, ages of all three boys are 3x, 5x and 7x respectively. According to the question, =
x+ y=4
...(i)
1 1 + =4 y x
y+ x =4 xy ⇒ x + y = 4xy ⇒ 4 = 4xy [From eq. (i)] ⇒ xy = 1 ...(iii) ⇒
We know that, x3 + y3 = (x + y) (x2 – xy + y2) x3 + y3 = (x + y) [(x2 + y2) – xy] = (x + y) [x2 + y2 - xy + 2xy - 2xy] = (x + y) [x2 + y2 + 2xy - 3xy] = (x + y) [(x + y)2 - 3xy] = (x + y) [x + y)2 - 2xy - xy] = (x + y) [x + y)2 - 3xy] = (4) [(4)2 - 3 × 1] = 4 (16 - 3) = 4 × 13 = 52 116. Given, (a2 + 2a)2 + 12(a2 + 2a) – 45 Let, a2 + 2a = x 2 x + 12x – 45 = x2 + 15x – 3x – 45 = x (x + 15) – 3(x + 15) = (x + 15) (x – 3) Now, putting the value of x in these factors. = (a2 + 2a + 15) (a2 + 2a – 3) = (a2 + 2a – 3) (a2 + 2a + 15) = (a2 + 3a – a – 3) (a2 + 2a + 15) = [a(a + 3) – 1(a + 3)] (a2 + 2a + 15) = (a + 3) (a – 1) (a2 + 2a + 15) 117. Let number of passengers in first class be x and number of passengers in second class be 40x. Then, total amount of first class = 4x and total amount of second class = 40x ∴ Ratio of the amounts collected from the first class and the second class passengers = 4 : 40 ∴ Amount collected from the first class passengers
3x + 5 x + 7 x = 15 3 ⇒ 15x = 45 ⇒x=3 ∴ Age of youngest boy = 3x
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= 3 × 3 = 9 yr 119. Let, third number = x Then, second number = 3x and first number = 6x Now, according to the question, 6 x + 3x + x = 10 3 10 x = 10 3 ⇒x=3 ∴ Largest number = 6x = 6 × 3 = 18 120. Total CP of car = 135000 + 25000 = Rs. 160000 and Loss = 10% Now, ⇒
SP of car = CP ×
(100 – Loss percent) 100
(100 –10) = 1600 × 90 100 = Rs. 144000 121. Let, total number of candidates = x candidate passed in English = 77% ∴ Candidates failed in English = (100 – 77)% = 23% and candidates failed in Mathematics = 34% Now, candidate failed in both the subjects = 13% ∴ candidates passed in both the subjects = {100 – (23 + 34 + 13)}% = (100 – 44)% = 56% Now, it is given that 56% of x = 784 = 160000 ×
⇒
x × 56 = 784 100
784 × 100 = 14 × 100 56 ⇒ x = 1400 Hence Total number of candidates = 1400 122. Here, Distance = Length of train = 120 m and speed of train = 54 km/h ⇒
5 m/s = 15 m/s 18 ∴ Time taken by train to pass a
= 54 ×
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man standing on the plateform 120 m Distance = = 15 m/ s = 8 s Speed 123. Time taken by A =
30 h, Time 5
30 taken by B = h 7
AC = 6.3 cm, BC = 3.6 cm Now, distance between centre of both the circles = AB = AC – BC = 6.3 – 3.6 = 2.7 cm 126. In figures, OM ⊥ AB, radius OC = 5 cm and perpendicular distance from centre to chord AB = 3 cm 5
cm
LCM of 30, 30, 30 = HCF of 5, 7, 8 = 30 h 124. Given, P = Rs. 1000, t = 2 yr, A = Rs. 110250, r = ? r By A = P 1 + 100
t
r ⇒ 110250 = 1000 P 1 + 100 ⇒
110250 100 + r = 100 1000
11025 100 + r ⇒ = 10000 100
2
105 100 + r ⇒ = 100 100 2
2
2
105 100 + r ⇒ = 100 100 ⇒ 105 = 100 + r ⇒ r = 105 – 100 = 5% ⇒ r = 5% 125. From figure,
cm
3 cm
5
A
2
4 cm
B
M
Now, OA = OC = 5 cm Q Point M, bisect chord AB ∴ AB = 2 AM Now, In ∆OAM, (OA)2 = (AM)2 + (OM)2 [By Pythagoras Theorem] ⇒ (AM)2 = (OA)2 – (OM)2 ⇒ (AM)2 = (5)2 – (3)2 = 25 – 9 = 16 ⇒ (AM)2 = (4)2 ⇒ AM = 4 cm Now, length of chord AB = 2 × AM = (2 × 4) cm = 8 cm 127. Given, ∠A – ∠B = 20° ...(i) and ∠B – ∠C = 32° ...(ii) We know that, ∠A + ∠B + ∠C = 180° ...(iii) Now, solving to Eqs. (i), (ii) and (iii) We get ∠A = 84° 128. From figure, AE = AD + DE = 5 + 3 = 8 cm ∠ABC = ∠CED Now, In ∆ADB and ∆AEC,
P
C
D Q
S
Here, BC = QR and AB = PQ and ∠B = ∠Q = 120° Hence, both triangle are congruent by the condition of Angle-SideSide. 130. Since, given ∆ABC is an equilateral triangle. A
O
B
C
So, angle formed by incentre is also equal. ∴ ∠BOC, ∠COA and ∠AOB is equal to 60°. 131. Given, x = 3 + 2 2 ∴ x3 = (3 + 2 2 )3 = 33 + (2 2 )3 + 3.3.2 2 (3 + 2 2 ) = 27 + 16 2 + 18 2 (3 + 2 2 ) = 27 + 16 2 + 54 2 + 72
[Similar Triangles]
Now,
A
=
cm
6.3 C B 3.6
1 1 3 = (99 + 70 2) x (99 – 70 2)
(99 + 70 2)(99 – 70 2)
5 cm B
D 3 cm
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R
= (99 + 70 2 )
AB AD = AE AC
4
A
A
129.
In figure, ∆ABC and ∆PQR are similar triangle. O
30 30 30 , and 5 7 8
= LCM of
8×5 = 10 4 ⇒ AB = 10 cm ⇒ AB =
B
C
30 Time taken by C = h 8 Time to come to all together
AB 5 = 8 4
⇒
C
=
(99 – 70 2) (99)2 – (70 2)2
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=
∴ x3 +
= ( −1)3 + 27 +
2)
1 = (99 + 70 2 ) – (99 x3
–
2)
= 99 + 70 2 – 99 + 70 2 = 140 2 132. (a + b)2 + (b + c)2 + (c + a)2 = a2 + b2 + 2ab + b2 + c2 + 2bc + c2 + a2 + 2ca 2 2 2 = a + b + c + 2ab + 2bc + 2ca + a2 + b2 + c2 2 2 2 = (a + b + c) + a + b + c2 = 2(a + b + c)2 – 2(ab + bc + ca) = 2(a + b + c)2 – 2(ab + bc + ca) = 2 × (2)2 – 2 × (1) = 8 – 2 = 6 133. Q x2 + 4x + 3 = 0 ∴ x2 + 3x + x + 3 = 0 ⇒ x(x + 3) + 1(x + 3) = 0 ⇒ (x + 3)(x + 1) = 0 ⇒ x = – 3 and – 1s Now,
=
=
x3 x 6 + 27 x 3 + 27
27 x 3 x 3 + 27 + 3 x 1 x 3 + 27 +
=
1
45 m 60° C
(1 + sin θ )(1 + sin θ )
27 (–3)3
1 = = =–1 27 –1 –27 + 27 – 27
B
sin 60° =
(1 – sin θ )(1 + sin θ )
(1 + sin θ ) 2 = 1 – sin 2 θ
(1 + sin θ ) cos 2 θ
⇒
(1 + sin θ ) 1 sin θ + = cos θ cosθ cos θ = sec θ + tan θ 137. Given,
x=
=
4
A
3 BC = 4 AB Now, in ∆ABC (AC)2 = (AB)2 + (BC)2 (AC)2 = (4)2 + (3)2 = 16 + 9 = 25
tan θ =
AC =
25 = 5 3 BC = 5 AC
4 AB = 5 AC Now, 25x sin2 θ cos θ = tan2 θ and cos θ =
2
4 3 3 ⇒ 25x . × = 5 4 5
⇒ 25x × ⇒
9 4 9 × = 25 5 16
5×9 5 = 9 × 4 × 16 64 138. Let, length of string = x m
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3 2 × 45 × 3 = 30 3 3
Hence, length of string is 30 3 m. 139. Taking option (b), which is b2x2 – a2y2 = a2b2 ...(i) Now, putting the value of x and y in Eq. (i) ⇒ b2(a sec θ)2 – a2(b tan θ)2 = a2b2 ⇒ b2a2 sec2 θ – a2b2 tan2 θ = a2b2 ⇒ a2b2 (sec2 θ – tan2 θ) = a2b2 ⇒ a2b2 = a2b2 [Q sec2θ – tan2 θ = 1] Hence, option (b) is the right answer. 140.
tan A + tan B tan A + tan B = 1 1 cot A + cot B + tan A tan B
2
x×9×4 9 = 5 16
⇒x=
2 × 45
⇒ x = 30 3 m
5 3
B
AB 45 = AC x
45 3 = x 2
⇒x=
C
1 (–3)3 + 27 +
x
Again in ∆ABC, sin θ =
x3
27 x3 Since, we have x = – 3 and x = – 1 So, putting x = – 3, we get
=
1 + sin θ = 1 – sin θ
136.
27 ( −1)3
1 = –1 −1 + 27 − 27
=
= 99 + 70 2 + 99 – 70 2 = 198 and x3 –
A
1
1 = (99 + 70 2 ) + (99 – x3
70
Then, in ∆ABC,
= putting x = 1
99 – 70 2 = 99 – 70 2 9801– 9800
tan A + tan B = tan A . tan B tan B + tan A tan A ⋅ tan B 141. The length subtended at the centre of a circle by an arc length equal in length to the radius of the circle is defined as one radian. 142. Q sin x + sin2 x = 1 ∴ sin x = 1 – sin2 x = cos2 x ...(i) Now, cos2 x + cos4 x = sin x + cos4x
=
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= sin x + sin2 x [From eq. (i)] =1 143. The value of a sector in a pie chart =
π r 2θ 360°
Angle of the sector × Total 360° value of the data 144. From figure, ∠EOB = ∠EMD = 2x° (Corresponding angle)
=
330 = 2.2 lakh 150 Now, boxes exported in the year 1998 = 160 ∴ Export value in 1998 = 160 × 2.2 = 352 crore 146. Number of boxes exported in year 1997 = 150 and number of boxes exported in year 1996 = 75 ∴ Required difference = 150 – 75 lakh =
E 2x°
A
B
147. Per box value in 1995 =
150 100
= Rs. 1.5 lakh 4x+12° C
M
D
F
Now, ∠EMD + ∠EMC = 180° ∴ 4x + 12° + 2x = 180° ⇒ 6x + 12° = 180° ⇒ 6 x = 180° – 12° ⇒ 6 x = 168° 168° = 28° ⇒ x= 6 ⇒ x= 28° 145. Per box export rate in 1997
150 Per box value in 1996 = 75 = Rs. 2 lakh Per box value in 1997 =
330 150
= Rs. 2.2 lakh Per box value in 1998 =
400 160
value of per box was minimum in the year 1995. 148. Boxes exported in the year 1998 = 160 lakh Boxes exported in the year 1997 = 150 lakh ∴ Required difference = (160 – 150) lakh = 10 lakh 149. Export value in 1995 = Rs. 150 crore Export value in 1999 = Rs. 500 crore ∴ Required percentage increase =
350 × 100% = 333.33% 150 150. Quantity of export in 1995 = 100 lakh box Quantity of export in 1996 = 75 lakh box ∴ Required percentage drop in export quantity =
=
= Rs. 2.5 lakh 500 Per box value in 1999 = 200 = Rs. 2.5 lakh So, it is clear from above that the
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500 –150 × 100% 150
75 –100 × 100% 100
–25 × 100% = – 25% 100 Here, negative sign show the percentage drop in export quantity. =
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