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39. How many elements has p(A), if A is null set? A) 0 B) 1 C) 2 D) 4 40. Number of proper subset of A = {a, e, i, o, u}? A) 5 B) 10 C) 31 D) 32 41. If A, B and C are three sets and U is the universal set such that n(U) = 700, n(A) = 200, n(B) = 300 and n(A) = 100.

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 14,  2017- 

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Find n (A) =? A) 200 B) 300 C) 400 D) 500 42. A college awarded 38 medals in football, 15 in basketball and 20in cricket. If these went to total of 58 men and only 3 men got medals in all 3. How many received medals in exactly two of 3 sports? A) 4 B) 6 C) 9 D) 18

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If a = b +c +d then the least value of a is? MATH CONTENT 1. 32% of the students in a school are girls and the number of boys in the school is 731. What is the strength of girls? A) 244 B) 344 C) 434 D) 1075 2. in an election contested by two candidates, the winning candidate secured 57% of the total votes polled and won by a majority of 43456 votes. Calculate the total votes polled? A) 310200 B) 310300 C) 310400 D) 310600 3. A solution of salt water contained 15% salt. After evaporation 30kg of water from it, the remaining solution has 20% salt. Find the weight of the original solution. A) 120kg B) 140kg C) 150kg D) 220kg 4. A high quality Xerox machine was purchased 3 years ago. Its value depreciates at the rate of 10% per annum. If its present value is 94,770, for how much was it purchased? A) Rs.1, 00,000 B) Rs. 1, 20, 000 C) Rs. 1, 25, 000 D) Rs. 1, 30, 000 5. In an examination a got 10% marks less than B, B got 25% marks more than C, C got 20% marks less than D. if A got 360 marks out of 500. The percentage of marks obtained by D was? A) 60 B) 70 C) 80 D) 90 6. Two times a number is 100% increase in the number. If we take half the number what would be the decrease in percent? A) 25 B) 50 C) 60 D) 80 7. At what time a sum invested at 5% simple interest semi annually doubled? A) 5 years B) 10 years C) 15 years D) 20 years 8. A shop keeper marks his goods at 40% above the cost price and allows discount 40% on the market price. His loss or gain % is? A) No loss no gain B) 16% gain C) 16% loss D) 20% gain 9. A man barrowed Rs. 3125 for C.I. and it amounted to Rs. 4500 in 2 years. The rate of CI per annum is? A) 15% B) 20% C) 25% D) 30% 10. Venkat sold an article to Samuel at a profit of 6% who is in turn sold it to Kiran at a loss of 5%. If Kiran paid Rs. 2,014 for the article. The cost price of the article for Venkat is? A) Rs. 1900 B) Rs. 2020 C) Rs. 2011 D) Rs. 2000 11. The area of a square field is 5184m2. Find the area of a rectangular field, whose perimeter is equal to the perimeter of the square filed and whose length is twice of its breadth. B) 4608 m2 A) 4068 m2 C) 4806 m2 D) 4688 m2 12. Sumathi made a cuboid of plasticine of dimensions 12cm, 8cm, and 3cm. How much minimum number of such

B. LAXMINARYANA M.Sc., B.Ed.,

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cuboids will be needed to form a cube? A) 4 B) 6 C) 8 D) 12 13. Three numbers are in the ratio 1:2:3, sum of their cubes 98784. Then the least number is? A) 8 B) 12 C) 14 D) 16 14. Find the volume of a cube whose surface area is 150m2? A) 115m3 B) 125m3 C) 225m3 D) 625m3 15. The dimensions of the room is given by 20 m × 15 m. what is the maximum length of the stick that can be put inside the room? A) 15m B) 20m C) 25m D) 27m 16. The cube of a number is 8 times the cube of another number. If the sum of the cubes of the numbers is 243, then the difference of the numbers is? A) 3 B) 6 C) 8 D) 9 17. If a3= b3+c3+d3 then the least value of a is? A) 1 B) 3 C) 6 D) 9 18. Rs. 750 is divided among A, B and C in such a manner that A : B = 5:2 and B : C = 7:13, what is A’s share? A) Rs.140 B) Rs.260 C) Rs.350 D) Rs.400 19. √2√2√2√2√2 = x then x is? D) 231/32 A) 1 B) 2 C) 21/5 20. If √12 + √12 + √12 + ....= x then the value of x is? A) 3 B) 4 C) 6 D) 8 21. A gardener has 1000 plants. The minimum number of plants he needs more to pant in such a way that the number of rows and number of columns remain same is? A) 12 B) 24 C) 39 D) 100 22. The smallest square number which is divisible by each of the following number 6, 9 and 15 is? A) 100 B) 400 C) 900 D) 1024 23.Two cubes have volume in the ratio 1:27. The ratio of the area of the face of one to that of the other is? A) 1:3 B) 1:6 C) 1:9 D) 1:16 24. A four –digit perfect square number whose first two digits and last two digits taken separately are also perfect square number is? A) 1681 B) 1681 C) 3664 D) 6481

25. If the diagonal of square is doubled, the area of square becomes? A) 2 times B) 3 times C) 4 times D) 6 times 26. The least number of numbers to be deleted from the set {1, 2, 3, .. 13, 14, 15} so that the product of the remaining numbers is a perfect square is? A) 1 B) 2 C) 3 D) 4 x 27. If √2401 = √7 then x =? A) 1 B) 4 C) 6 D) 9 28. A manufacturer sells a laptop to a whole seller for Rs. 25000 including sales tax. The wholesaler sells it to a retailer at a profit of 10%. The retailer sells to a customer at a profit of 15% but gives a special carry bag worth Rs.800 for the laptop. Find (a) VAT paid by the whole seller at 8%. A) Rs.200 B) Rs.300 C) Rs.400 D) Rs.500 29. A manufacturer sells a laptop to a whole seller for Rs. 25000 including sales tax. The wholesaler sells it to a retailer at a profit of 10%. The retailer sells to a customer at a profit of 15% but gives a special carry bag worth Rs.800 for the laptop. Find (a) VAT paid by the retailer at 8%. A) Rs.200 B) Rs.266 C) Rs.286 D) Rs. 366 30. A shopkeeper sold an article for Rs.600 and paid a VAT of Rs. 2.40. What is the price, inclusive of sales tax, the shopkeeper paid the rate of Vat 6%. A) Rs. 539 B) Rs. 569 C) Rs. 593.60 D) Rs. 693.60 31. A shopkeeper buys an article whose list price is Rs. 1000 at some rate of discount from a wholesaler. He sells the article to a customer at the list price and charges a sales tax at the rate of 8%. If the shopkeeper paid a VAT of Rs.8, find the rate of discount at which he bought the article from wholesaler. A) 6% B) 8% C) 9 % D) 10% 32. A shopkeeper bought a T.V. at a discount of 30% of the listed price of Rs. 24000. The shopkeeper offers a discount of 10% of the listed price to his customer. If the VAT is 10%. Find

the amount paid by the customer? A) Rs. 23760 B) Rs. 23670 C) Rs. 24760 D) Rs. 24000 33. A manufacturer buys raw material worth Rs. 50000 and pays a sales tax of 4%. He sells the ready stock at Rs. 78000 and charges sales tax at 8%. Find the VAT paid by the manufacturer? A) Rs. 4000 B) Rs. 4240 C) Rs. 4250 D) Rs. 5240 34. In a group of 400 people, 250 can speak Hindi and 200 can speak English. How many people can speak both Hindi and English? A) Rs. 40 B) Rs. 50 C) Rs. 60 D) Rs. 70 35. In a group of 70 people, 37 like coffee, 52 like tea and each person likes at least one of the two drinks. How many people like both coffee and tea? A) 19 B) 20 C) 25 D) 25 36. In a survey of 25 students, It was found that 15 had taken Mathematics, 12 had taken Physics & 11 had taken Chemistry, 5 had taken Mathematics and Chemistry, 9 had taken Mathematics and Physics, 4 had taken Physics and Chemistry & 3 had taken all three subjects. Find the number of students that had taken only chemistry. A) 3 B) 4 C) 5 D) 10 37. In a food habit finding survey of 700 students in a college, 180 were listed as drinking Limca, 275 as drinking Thumsup and 95 were listed as both drinking Limca as well as Thumsup. Find how many students were drinking neither Limca and Thumsup? A) 275 B) 300 C) 340 D) 400 38. Which of the following diagram shows the symmetric difference of A and B?

Answers 1-B 7-B 13-C 19 -D 25-C 31-D 37-C

2-C 8-C 14-B 20-B 26-C 32-A 38-B

3-A 9-B 15-C 21-B 27-B 33-B 39-B

4-D 10-D 16-A 22-C 28-A 34-B 40-C

5-C 11- B 17- C 23- B 29-B 35-A 41-2

6-B 12-B 18-C 24- A 30-C 36-C 42-C