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For caselet problems in Data Interpretation, as the data given in paragraph try to keep all the data in a tabular form. This will be very easy to solve Quantitative Aptitude

the problems. These questions based on

Directions: (Q.1-5): Study the following Piecharts and table carefully and answer the questions, which will follow: Following pie charts show the number of wickets taken by a bowler against different countries in ODI and Test matches. Total number of wickets taken by the bowler in ODI and Test matches is 400 and 350 respectively. The table shows the number of runs conceded against different countries in ODI and Test matches Note: Strike rate of a bowler defined as the runs conceded per wicket ODI Matches Australia 10%

West Indies 9% Sri Lanka

England 14%

15%

South Africa 22%

New Zealand 12%

Pakistan 18%

Test Matches West Indies 8% Australia 20% England 15%

Sri Lanka 22%

New Zealand 13%

Countries

South Africa 12% Pakistan 10%

ODIs

Tests

Australia

1260

1140

England

1485

1285

South Africa

2120

884

Pakistan New Zealand Sri Lanka West Indies

2230

850

955

1208

1831

1842

948

824

1. Find the total number of wickets taken by the bowler against Pakistan in both ODI and Test Matches? 1) 88 2) 107 3) 134 4) 96 5) None 2. Against which country, is the bowler's strike rate the poor in Test matches? 1) Australia 2) Sri Lanka 3) South Africa 4) Pakistan 5) None of these 3. Against which of the following countries is the difference in ODI and Test wickets the maximum? 1) South Africa 2) West Indies 3) Australia 4) New Zealand 5) None of these 4. Find the difference between the strike rate of the bowler in Test matches and that in ODIs? 1) 3.74 2) 2.91 3) 5.09 4) 4.12 5) 2.53 5. Against which country, is the bowler's strike rate the best in ODIs? 1) Pakistan 2) Australia 3) New Zealand 4) England 5) None of these Directions (Q.6-8): In each of the questions below, two equations are provided. On the basis of these you have to find out the relation between P and Q. Give answer 1) if P = Q Give answer 2) if P > Q Give answer 3) if P < Q

simplification and numerical series.

How many boys can speak..? Give answer 4) if P ≥ Q Give answer 5) if P ≤ Q

Explanations

7. 2p2 + 12p + 16 = 0 ; 2q2 + 14q + 24 = 0 8. q2 + q = 2 ; p2 + 7p + 10 = 0 9. A contractor undertakes to do a piece of work in 30 days. He recruits 50 men at the beginning and 75 more after 20 days and completes the work in stipulated time. If he had not engaged the additional men, in how many days time the work would have been finished? 1) 15 2) 30 3) 45 4) 20 5) None 10. 5 coins are tossed simultaneously. Find the probability of getting two heads. 2 5 2 5 1) ⎯ 2) ⎯ 3) ⎯ 4) ⎯ 5) None 5 32 15 16 Directions (Q.11-15): Study the information given below and answer the questions that follow. a) In a class of 140 students, girls and boys are in the ratio 3 : 4. The students can speak only English or only Telugu or both English and Telugu. b) 30% of the girls can speak both the languages and 45% of the boys can speak only English. c) The number of boys and the number of girls who can speak only Telugu is equal, which is 25% of the total number of boys. 11. Find the number of girls who can speak only English. 1) 27 2) 23 3) 15 4) 22 5) None 12. How many boys can speak both Telugu and English? 1) 12 2) 24 3) 18 4) 14 5) 21 13. How many girls can speak either Telugu or English, but not both? 1) 56 2) 42 3) 22 4) 27 5) None 14. What is the ratio of the number of girls who can speak both the languages to the number of boys who can speak both the languages? 1) 7 : 5 2) 4 : 3 3) 5 : 7 4) 2 : 7 5) 3 : 4 15. What percentage students can speak only English (rounded off to two digits after decimal)? 1) 44.24% 2) 35.45% 3) 46.45% 4) 41.43% 5) 43.28% Directions (Q. 16 - 20): In each of the following number series questions, a number is wrong. You have to identify that number. 16. 9 11 25 79 322 1611 1) 9 2) 1611 3) 25 4) 11 5) 322 17. 0 4 18 49 100 180 1) 49 2) 18 3) 180 4) 100 5) 0 18. 17 42 92 172 293 462 1) 462 2) 172 3) 92 4) 293 5) 17 19. 38 19 19 28.5 57 142 1) 19 2) 142 3) 38 4) 28.5 5) 57 20. 3399 1131 375 125 39 11 1) 39 2) 11 3) 375 4) 125 5) 3399

Answers 1-2 2-5 3-1 4-4

5-3 6-1 7-4 8-5

9-3 10-4 11-4 12-2

13-2 14-5 15-4 16-5

Writer :

1. Required number

6. p2 + 36 = 12p ; 4q2 + 144 = 48q

17-1 18-3 19-2 20-4.

- Dr. G.S. Giridhar

= 18% of 400 + 10% of 350 ⇒ 72 + 35 = 107 Number of runs conceded 2. Strike rate = ⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯ Number of wickets taken 1140 Strike rate of Australia = ⎯⎯⎯ 20% of 350 1140 = ⎯⎯⎯ = 16.28 70 1285 Strike rate of England = ⎯⎯ = 24.48 52.5 884

Strike rate of South Africa = ⎯⎯ = 21.04 42 850

Strike rate of Pakistan = ⎯⎯ = 24.28 35 1208

Strike rate of New Zealand = ⎯⎯ = 26.55 45.5 1842 Strike rate of Sri Lanka = ⎯⎯ = 23.92 77 824 Strike rate of West Indies = ⎯⎯ = 29.43 28 ∴ The poor strike rate is against West Indies 3. The maximum difference is against South Africa i.e. 22% of 400 − 12% of 350 ⇒ 88 − 42 = 46

Director, RACE Institute 6. p2 + 36 = 12p by solving we get p values as 6 and −6 4q2 + 144 = 48q by solving we get q values as 6 and −6 ∴p=q 7. 2p2 + 12p + 16 = 0 by solving we get p values as −4 and −2 2q2 + 14q + 24 = 0 by solving we get q values as −3 and −4 ∴p≥q 8. q2 + q = 2 by solving we get q values as 1 and −2 p2 + 7p + 10 = 0 by solving we get p values as −2 and −5 ∴p≤q 9. Let the work takes 'x' more days 50 (30 + x) = (50 × 20) + (125 × 10) ⇒ x = 15 ∴ Work would have been finished in 30 + 15 = 45 days 5C 10 5 2 10. Probability = ⎯ = ⎯ = ⎯ 5 2 32 16

(11-15):

4. Strike rate in Test matches 1140 + 1285 + 884 + 850 + 1208 + 1842 + 824

35

= ⎯⎯⎯ ⎯⎯⎯ ⎯⎯⎯ ⎯⎯⎯ 350 8033 = ⎯⎯ = 22.95 350 Strike rate in ODIs

BOYS

English 24

20

Telugu

20

Telugu

GIRLS English

1260 + 1485 + 2120 + 2230 + 955 + 1831 + 948 = ⎯ ⎯⎯⎯ ⎯⎯⎯ ⎯⎯⎯ 400 10829 = ⎯⎯ = 27.07 400 ∴ Required difference = 27.07 − 22.95 = 4.12 Number of runs conceded 5. Strike rate = ⎯⎯⎯ ⎯⎯⎯ Number of wickets taken 1260 Strike rate of Australia = ⎯⎯ 10% of 400 1260 = ⎯ = 31.5 40 1485 Strike rate of England = ⎯ = 26.52 56 2120 Strike rate of South Africa = ⎯ = 24.09 88 2230 Strike rate of Pakistan = ⎯ = 30.97 72 955 Strike rate of Newzealand = ⎯ = 19.89 48 1831 Strike rate of Srilanka = ⎯ = 30.51 60 948 Strike rate of West Indies = ⎯ = 26.33 36 ∴ The best strike rate is against New Zealand

12

18

14. Required ratio = 18 : 24 = 3 : 4 36 + 22 15. Required percentage = ⎯ × 100 140 58 = ⎯ × 100 = 41.43% 140 16. 9 × 1 + 2 = 11 11 × 2 + 3 = 25 25 × 3 + 4 = 79 79 × 4 + 5 = 321 321 × 5 + 6 = 1611 17. 13 − 12 = 0 18. 17 + 52 = 42 23 − 22 = 4 42 + 72 = 91 33 − 32 = 18 91 + 92 = 172 43 − 42 = 48 172 + 112 = 293 53 − 52 = 100 293 + 132 = 462 63 − 62 = 180 19. 38 × 0.5 = 19 20. 3399 ÷ 3 − 2 = 1131 1131 ÷ 3 − 2 = 375 19 × 1 = 19 375 ÷ 3 − 2 = 123

19 × 1.5 = 28.5 28.5 × 2 = 57

123 ÷ 3 − 2 = 39

57 × 2.5 = 142.5

39 ÷ 3 − 2 = 11

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