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### QUANTITATIVE  APTITUDE

Directions (1-15) : What value should come in the place of question mark (?) in the following questions ?

1. (11)2 + (9)2 – (14)2 + ? 32
(1) 6
(2) 7
(3) 1
(4) 3
(5) None of these

Solution:4

2.  0.5 × 3.9 ÷  1.3 = ? + 0.5
(1) 0.01
(2) 0.1
(3) 0.2
(4) 1.0
(5) None of these

Solution:4

3. (1) ± 1
(2) ±3
(3) ± 9
(4) ± 6
(5) None of these

Solution:3

4.  81% of 2300 – 34% of 596 = ?
(1) 1060.63
(2) 1060.36
(3) 1660.36
(4) 1006.63
(5) None of these

Solution:3

5. 3.1 × 2.6 × 1.5 =?
(1) 12.09
(2) 12.05
(3) 12.03
(4) 12.07
(5) None of these

Solution:1

6. (1) 530
(2) 535
(3) 505
(4) 513
(5) None of these

Solution:5

7.  9352- 2569 + 7153 = 13900 + ?
(1) 9
(2) 81
(3) 25
(4) 36
(5) None of these

Solution:4

8.  23% of 1630 = ?
(1) 394.7
(2) 347.9
(3) 379.4
(4) 374.9
(5) None of these

Solution:4

9. 73 + 238 ÷ 14 – 71 = ?
(1) 16
(2) 15
(3) 13
(4) 19
(5) None of these

Solution:4

10. (1) 53
(2) 41
(3) 51
(4) 43
(5) None of these

Solution:1

11. 71 + 897 ÷ 13 × 3 = ?
(1) 276
(2) 273
(3) 278
(4) 271
(5) None of these

Solution:3

12. 190 × 38 ÷ 4 =?
(1) 1850
(2) 1508
(3) 1805
(4) 1085
(5) None of these

Solution:3

13. (1) 122
(2) 142
(3) 144
(4) 128
(5) None of these

Solution:5

14. 4.3 + 43.34 + 34.43 + 43.43 + 3.4 = ?
(1) 189.2
(2) 129.8
(3) 128.9
(4) 182.9
(5) None of these

Solution:3

15. (1) 474
(2) 774
(3) 477
(4) 747
(5) None of these

Solution:4

Directions (16 – 18) : Study the following information and answer the questions that follow.A sum of Rs. 7740 is to be divided amongst A, B and C in the ratio 7 : 5 : 8 respectively.

16. What is the difference between C’s and B’s share ?
(1) Rs. 387
(2) Rs. 774
(3) Rs. 1,021
(4) Rs. 591
(5) Rs. 1,161

Solution:5

17. What is the sum of B’s and A’s share ?
(1) Rs. 4,931
(2) Rs. 4,644
(3) Rs. 5,580
(4) Rs. 5,805
(5) Rs. 5,031

Solution:2

18. How much is A’s share ?
(1) Rs. 2,709
(2) Rs. 3,096
(3) Rs. 1,935
(4) Rs. 2,851
(5) Rs. 3,190

Solution:1

19. In how many different ways can the letters of the word ‘FRANCE’ be arranged ?
(1) 2400
(2) 720
(3) 2005
(4) 5040
(5) None of these

Solution:2

20. How much will a sum of Rs. 7,250 amount to in a span of 2 years, at 6 p.c.p.a. rate of compound interest (Rounded off to the nearest integer) ?
(1) Rs. 8,176
(2) Rs.8,146
(3) Rs. 8,216
(4) Rs.8, 170
(5) Rs. 8,190

Solution:2

21. At what rate of simple interest will Rs.4,200 amount to Rs. 6,216 in a span of 8 years ?
(1) 5
(2) 3
(3) 6
(4) 4
(5) None of these

Solution:3

22. Cost of 20 pens and 17 pencils is Rs. 418. What is the cost of 60 pens and 51 pencils ?
(1) Rs. 1.251
(2) Rs. 1.257
(3) Rs. 1,227
(4) Rs. 1,221
(5) None of these
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Solution:5

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Directions (23-27) : Study the following table carefully and answer the questions that follow.

23.  What is the respective ratio between the total number of students studying in institute A and the total number of students studying in institute H?
(1) 52 : 59
(2) 52 : 55
(3) 55 : 59
(4) 59 : 61
(5) None of these
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Solution:1

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24. The number of students studying course Q in institute B forms what per cent of the total number of students in institute C ?
(1) 14
(2) 17
(3) 11
(4) 8
(5) 20

Solution:5

25. What is the total number of students who are studying course T across all institutes ?
(1) 3480
(2) 3280
(3) 3420
(4) 3840
(5) None of these

Solution:2

26. The number of students studying course P in institute A forms what per cent of the total number of students in institute A ?
(1) 27
(2) 23
(3) 25
(4) 20
(5) 29

Solution:3

27. What is the average number of students studying In institute D ?
(1) 446
(2) 426
(3) 540
(4) 454
(5) None of these

Solution:2

28. What will be the average of the following set of scores (Rounded off to the nearest integer) ?
46, 54, 62, 68, 56, 29, 58
(1) 45
(2) 59
(3) 62
(4) 48
(5) 53

Solution:5

29. The area of a circle is 3850 square metres. What will be its circumference ?
(1) 233 metres
(2) 226 metres
(3) 230 metres
(4) 220 metres
(5) 249 metres

Solution:4

30. The product of three consecutive numbers is 4080. What is the least number ?
(1) 17
(2) 14
(3) 13
(4) 16
(5) None of these

Solution:5

31. If the perimeter of a rectangle is 180 metres and the difference between the length and the breadth is 8 metres, what is the area of the rectangle ?
(1) 2116 square metres
(2) 2047 square metres
(3) 2090 square metres
(4) 2178 square metres
(5) None of these

Solution:5

32. A and B together can complete a particular task in 6 days. If A alone can complete the same task in 10 days, how many days will B take to complete the task if he works alone ?
(1) 15
(2) 16
(3) 14
(4) 12
(5) None of these

Solution:1

Directions (33-37) : What should come in place of the question mark (?) in the following number series ?

33.    7   33   137  553  ?   8873
(1) 1217
(2) 2217
(3) 2117
(4) 2127
(5) None of these

Solution:2

34.   8   56   336   2352   14112 ?
(1) 98874
(2) 98784
(3) 87894
(4) 84672
(5) None of these

Solution:2

35.  5963    ?    5938    5913   5877    5828
(1) 5932
(2) 5940
(3) 5951
(4) 5954
(5) None of these

Solution:4

36.  2916   972   ?   108   36   12
(1) 324
(2) 234
(3) 248
(4) 391
(5) None of these

Solution:1

37. 9  15   27    45    69    ?
(1) 109
(2) 99
(3) 91
(4) 81
(5) None of these

Solution:2

38. The cost price of an article is Rs. 390. If it is to be sold at a profit of 3.12 per cent, how much would be its approximate selling price ?
(1) Rs. 410
(2) Rs. 402
(3) Rs. 417
(4) Rs. 420
(5) Rs. 442

Solution:2

39. 17 articles were bought for Rs. 3,910 and sold for Rs. 4,590. How much was the approximate profit percentage per article ?
(1) 17%
(3) 12%
(3) 9%
(4) 21%
(5) 25%

Solution:1

40. 12 years ago, the ages of A and B were in the ratio 15 : 13 respectively. 19 years from now the respective ratio of their ages will be 23 : 22. What is the sum of their ages at present ?
(1) 57 years
(2) 54 years
(3) 52 years
(4) 59 years
(5) None of these