# CWE PO - QUANTITATIVE APTITUDE MODEL TWO

QUANTITATIVE APTITUDE --TWO

Q. 1-15. What should come in place of the question mark (?) in the following questions?

1. [ ( 24)2 + (36)2] divided by 25 = ?

(1) 70.75 (2) 74.88 (3) 78.68 (4) 73.28

(5) None of these

2. (6214 + 3689 + 1476) – (5213 + 1365 + 2038) =?

(1) 2843 (2) 2753 (3) 2763 (4) 2853

(5) None of these

3. 1/13 X 3237 + 3/14 X 5362 = ?

(1) 1346 (2) 1368 (3) 1355 (4) 1398

(5) None of these

4. (48)2 divided by 12 + sq.root of ? = 248

(1) 3035 (2) 3025 (3) 3249 (4) 3136

(5) None of these

5. 39% of 760 – 29% of 550 = ?

(1) 144.3 (2) 156.5

(3) 136.9 (4) 130.6

(5) None of these

6. sq.root of 3249 + (75)2 + sq.root of ? = 5745

(1) 3721 (2) 4096 (3) 3481 (4) 3969

(5) None of these

7. What percent of 20 is 16?

1) 3.2% (2) 16% (3) 36% (4) 80%

(5) None of these

8. (65.5 × 15.5) × 100 = ?

(1) 108125 (2) 102615 (3) 101525 (4) 105125

(5) None of these

9. 410.25 + 369.46 ÷ 0.052 = ?

(1) 7515.25 (2) 7818.18 (3) 7616.35 (4) 7525.05

(5) None of these

10. Organisers of a trade fair projected an increase of 20% in the number of visitors over the previous year, but the number of visitors actually increased by 50%. By what percentage was the actual number of visitors greater than the projected number of visitors?

(1) 20% (2) 30% (3) 25% (4) 45%

(5) None of these

11. (656 × 231) ÷ 41 = ?

(1) 3090 (2) 3696 (3) 3515 (4) 3828

(5) None of these

12. 35. A train covers a distance of 3584 km in 2 days 8 hours. If it covers 1440 km on the first day and 1608 km on the second day, by how much does the average speed of the train for the remaining part of the journey

differ from that for the entire journey?

(1) 3 km/hour more (2) 3 km/hour less

(3) 4 km/hour more (4) 5 km/hour less

(5) None of these.

13. cube root of 551368 = ?

(1) 78 (2) 84 (3) 86 (4) 80

(5) None of these

14. (0.9% of 650 ÷ 0.4% of 750) + 368.25 = ?

(1) 380.15 (2) 370.10 (3) 369.25 (4) 375.20

(5) None of these

15. sq.root of 10201 - sq.root of 3136 = ?

(1) 45 (2) 40 (3) 35 (4) 30

(5) None of these

Q. 16-20. What should come in place of the question mark (?) in the following number series?

16. 200 231 264 299 336 ?

(1) 355 (2) 365 (3) 375 (4) 395 (5) None of these

17. 10 22 8 24 6 ?

(1) 16 (2) 18 (3) 12 (4) 26 (5) None of these

18. 27 64 125 216 343 ?

(1) 512 (2) 459 (3) 519 (4) 521 (5) None of these

19. 60.5 72 84.5 98 112.5 ?

(1) 125 (2) 122 (3) 126 (4) 127 (5) None of these

20. 96 107 129 162 206 ?

(1) 258 (2) 261 (3) 256 (4) 260 (5) None of these

Q. 21-25. What approximate value should come in place of the question mark (?) in the following questions? (You are not expected to calculate the exact value.)

21. sq.root of 197 + sq.root of 365 = ?

(1) 25 (2) 33 (3) 44 (4) 22 (5) 11

22. 3436 ÷ 36 + 121 = ?

(1) 216 (2) 227 (3) 220(4) 215(5) 225

23. (54 × 154) ÷ (34 × 134) = ?

(1) 3.05 (2) 3.00 (3) 2.5 (4) 1.5 (5) 2.00

24. 0.8% of 384 × 0.9% of 362 = ?

(1) 7 (2) 8 (3) 10 (4) 12 (5) 15

25. (2345 + 1983 + 1028) ÷ 47 = ?

(1) 105 (2) 95 (3) 125 (4) 115 (5) 120

26. 75% of a number is 380 more than 35% of the same number. What is 20% of that number?

(1) 190 (2) 195.5 (3) 189.5 (4) 180 (5) None of these

27. The production of wheat across the country in the year 2003 was 5600 tons. In the same year if 700 tons of wheat was sold in the State of Haryana, what percentage did it make to the total production of wheat across the country?

(1) 13% (2) 12.5% (3) 13.5% (4) 14% (5) None of these

28. The ratio of the length and the breadth of a rectangle is 4 : 3 respectively and the area of the rectangle is 1728 sq. cms. What is the ratio of the

breadth and the area of the rectangle?

(1) 1 : 38 (2) 1 : 24 (3) 1 : 42 (4) 1 : 34 (5) None of these

29. Which of the smallest number should be added to 86237 to make it exactly divisible by 9?

(1) 11 (2) 9 (3) 10 (4) 2 (5) None of these

30. What approximate compound interest can be obtained on an amount of Rs 3,980 after 2 years at 8 p.c.p.a.?

(1) Rs 650 (2) Rs 680 (3) Rs 600 (4) Rs 590 (5) Rs 665

31. The smallest number, which when divided by 5, 10, 12 and 15, leaves remainder 2 in each case; but when divided by 7 leaves no remainder, is:

(1) 189 (2) 182 (3) 175 (4) 91 (5) None of these.

32. If 4 1/9 is subtracted from 6 4/9 and the difference is multiplied by 183, what will be the final answer?

(1) 567 (2) 427 (3) 357 (4) 497 (5) None of these

33. If 7x + 8y = 53 and 5x + 12y = 63, then what is the value of (y – x)?

(1) –2 (2) 2 (3) 1 (4) –1 (5) None of these

34. A man walks at the speed of 5 kms/hr and runs at the speed of 10 kms/hr. How much time will the man require to cover the distance of 28 kms, if he covers half (first 14 kms.) his journey walking and half his journey running?

(1) 8.4 hrs (2) 6 hrs (3) 5 hrs (4) 4.2 hrs (5) None of these

35. a, b, c and d are four consecutive numbers. If the sum of a and d is 103, what is the product of b and c?

(1) 2652 (2) 2562 (3) 2970 (4) 2550 (5) None of these

36. Profit after selling an article for Rs 736 is the same as loss after selling the article for Rs 638. What is the cost price of the article?

(1) Rs 687 (2) Rs 649 (3) Rs 597 (4) Rs 674 (5) None of these

37. The average of four positive integers is 124.5. The highest integer is 251 and the lowest integer is 65. The difference between the remaining two integers is 26. Which of the following integers is higher of the remaining two integers?

(1) 78 (2) 102 (3) 100 (4) Cannot be determined (5) None of these

38. In a class the number of boys are more than the number of girls by 16% of the total strength. What is the respective ratio of the number of boys to the number of girls in the class?

(1) 27 : 22 (2) 29 : 21 (3) 29 : 25 (4) Cannot be determined (5) None of these

39. In how many different ways can the letters of the word ‘CLOWN’ be arranged?

(1) 90 (2) 150 (3) 120 (4) 100 (5) None of these

40. The difference between a two-digit number and the number obtained by interchanging the two digits is 45. The sum of the two digits of the number is 9. What is the original number?

(1) 72 (2) 85 (3) 27 (4) Cannot be determined (5) None of these

Qs. 41-45. Study the following graph carefully and answer the questions given below.

Number of Students from various Age Groups

studying in various Schools

Series 1 - 4 to 7 years

Series 2 - 8 to 11 years

Series 3 - 12 to 15 years.

41. What is the approximate difference between the average number of students in the age group of 4-7 years from all the schools and the average number of students in the age group of 12-15 years from all the

schools?

(1) 60 (2) 58 (3) 66 (4) 68 (5) 63

42. The total number of students studying in school H is what per cent of the total number of students studying in school I? (Rounded off to two digits after

decimal)

(1) 85.16 (2) 84.12 (3) 88.88 (4) 86.11 (5) None of these

43. The number of students studying in school J in the age group of 12-15 years are approximately what per cent of the total number of students in other age groups together from the same school?

(1) 32 (2) 41 (3) 28 (4) 37 (5) 47

44. What is the approximate average number of students studying in all the schools together?

(1) 8329 (2) 8313 (3) 8317 (4) 8309 (5) 8333

45. What is the respective ratio of the number of students in the age-group of 8-11 years studying in schools H and I together to the number of students from the same age-group studying in schools J and K together?

(1) 27 : 23 (2) 27 : 25 (3) 25 : 23 (4) 23 : 21 (5) None of these

Qs. 46-50. Study the following table carefully and answer the questions given below.

Percentage distribution of students in various

Disciplines from five different colleges

I II III IV

Disciplines → Arts Commerce Science Total number

Colleges ↓ of students

I II III IV

A 25 35 40 17500

B 15 45 40 25000

C 15 30 55 35300

D 28 48 24 23000

E 29 30 41 32400

46. What is the respective ratio of the number of students from the discipline of Arts and Commerce together from college A to the number of students from

the same disciplines from college B?

(1) 6 : 11 (2) 7 : 9 (3) 2 : 3 (4) 7 : 10 (5) None of these

47. What is the difference between the total number of students from the discipline of Arts from all the colleges together and the total number of students from the discipline of Science from all the colleges together?

(1) 22874 (2) 23863 (3) 22963 (4) 23874 (5) None of these

48. What is the average number of students from the discipline of Commerce from all the colleges together?

(1) 9745 (2) 9735 (3) 9720 (4) 9750 (5) None of these

49. Which college has the least number of students from the discipline of Science?

(1) A (2) C (3) E (4) D (5) None of these

50. The number of students from the discipline of Arts from college D are approximately what per cent of the number of students from the discipline of

Commerce from the same college?

(1) 61 (2) 58 (3) 53 (4) 63 (5) 49

ANSWERS AND EXPLANATIONS

1. (2) 2. (3) 3. (4) 4. (4) 5. (3) 6. (4) 7. (4) 8. (3) 9. (1) 10. (3)

11. (2) 12. (1) 13. (5) 14. (5) 15. (1) 16. (3) 17. (4) 18. (1) 19. (5) 20. (2)

21. (2) 22. (1) 23. (5) 24. (3) 25. (4) 26. (1) 27. (1) 28. (5) 29. (5) 30. (5)

31. (2) 32. (2) 33. (3) 34. (4) 35. (1) 36. (1) 37. (5) 38. (2) 39. (3) 40. (1)

41. (5) 42. (4) 43. (1) 44. (2) 45. (3) 46. (4) 47. (5) 48. (1) 49. (4) 50. (2)

EXPLANATORY ANSWERS

16. (3) By adding 31, 33, 35, 37, 39... we get the nos

∴ Reqd. no. = 336 + 39 = 375

17. (4) 10 22 8 24 6 x

There are two series, 10, 8, 6,... 8, 22, 24 ∴ x = 26

18. (1) All are cubes 33, 43, 53, 63, 73

∴ Reqd. no = 83 = 512

19. (5) By adding 11.5, 12.5, 13.5, 14.5, 15.5, we get nos

∴ Reqd. no. = 112.5 + 15.5 = 128

20. (2) By adding 11, 22, 33, 44, 55 we get the series

∴ Reqd. no. = 206 + 55 = 261

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REF. QA1

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