Deloitte Placement paper Aptitude Questions with answers
1. Length of the rectangular field is 4 times the breadth. The area of rectangular field is 2500 Yards. Find the length of the field.
A. 100
B. 25
C. 50
D. 150
Ans. A
2. Find the probability of getting at least one tail if two coins are tossed simultaneously.
A. 3/2
B. 3/8
C. 15/8
D. 3/4
Ans. D
3. There are 4 raspberries and 8 strawberries. Find the probability if two fruits are chosen and both are raspberries.
A. 1/2
B. 1/11
C. 1/6
D. 2/7
Ans. C
4. If b is the simple interest on a and c is the simple interest on b at same period and same rate of interest. Find the relation between a, b and c.
A. a² = bc
B. b² = ac
C. c² = ab
D. abc = 1
Ans. B
5. There are 2 posts and 12 equally qualified candidates. Find the number of ways in which they can be selected?
A. 34
B. 66
C. 54
D. None of these
Ans. B
6. What power of 5 is contained in 200! ?
A. 45
B. 47
C. 49
D. 51
Ans. C
7. What power of 3 is contained in 200! ?
A. 49
B. 87
C. 89
D. 97
Ans. D
8. In how many ways can the word ARRANGE be arranged so that the two R’s and the two A’s are never together?
A. 560
B. 660
C. 456
D. 1660
Ans. B
9. The reciprocal of HCF and LCM of two numbers is 1/12 and 1/312 respectively. If one of the number is 24, find the other.
A. 166
B. 34
C. 156
D. None of these
Ans. A
10. If the square root of HCF of two numbers is 2 and LCM is 2516, find the product of the 2 numbers.
A. 9978
B. 10000
C. 10500
D. 10064
Ans. D
11. If the sum of two numbers is 55 and the H.C.F. and L.C.M of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:
A. 55/601
B. 601/55
C. 11/120
D. 120/11
Ans. C
12. If the sum of two numbers is 55 and the H.C.F. and L.C.M of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:
A. 55/601
B. 601/55
C. 11/120
D. 120/11
Ans. C
13. Three different containers contain 496 litres, 403 litres and 713 litres of mixtures of milk and water respectively. What biggest measure can measure all the different quantities exactly ?
A. 1 litre
B. 7 litre
C. 31 litre
D. 41 litre
Ans. C
14. A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
A. 10 days
B. 20 days
C. 5 days
D. 4 days
Ans. B
15. Find the value of h[f(1,2,3), g(2,1,-2), h(1,-1,-1)].
A. 0.5
B. none
C. 1
D. 0
Ans. D
16. Which of the following numbers is exactly divisible by 24 ?
A. 35718
B. 63810
C. 537804
D. 3125736
Ans. D
17. A, B and C can do a piece of work in 24, 30 and 40 days respectively. They start the work together but C leaves 4 days before the completion of the work. In how many days is the work done?
A. 15 days
B. 14 days
C. 13 days
D. 11 days
Ans. D
18. The number nearest to 15207, which is divisible by 467, is:
A. 14342
B. 15211
C. 14944
D. 15411
Ans. D
19. 5 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys do it in 5 days. The ratio between the efficiencies of a man and boy is?
A. 1:2
B. 2:1
C. 2:3
D. 6:5
Ans. D
20. A and B can finish a work in 16 days while A alone can do the same work in 24 days. In how many days B alone will complete the work?
A. 56
B. 48
C. 36
D. 58
Ans. B
21. Find the simple interest on Rs. 306.25 from March 3rd to July 27th( In the same year ) at 3.75 percent.
A. Rs. 4.57
B. Rs. 4.59
C. Rs. 4.53
D. Rs 4.58
Ans. B
22. If a number is exactly divisible by 85, then what will be the remainder when the same number is divided by 17?
A. 3
B. 1
C. 4
D. 0
Ans. D
23. The number nearest to 15207, which is divisible by 467, is:
A. 14342
B. 15211
C. 14944
D. 15411
Ans. D
24. 5 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys do it in 5 days. The ratio between the efficiencies of a man and boy is?
A. 1:2
B. 2:1
C. 2:3
D. 6:5
Ans. D
25. A and B can finish a work in 16 days while A alone can do the same work in 24 days. In how many days B alone will complete the work?
A. 56
B. 48
C. 36
D. 58
Ans. B
26. Find the simple interest on Rs. 306.25 from March 3rd to July 27th( In the same year ) at 3.75 percent.
A. Rs. 4.57
B. Rs. 4.59
C. Rs. 4.53
D. Rs 4.58
Ans. B
27. If a number is exactly divisible by 85, then what will be the remainder when the same number is divided by 17?
A. 3
B. 1
C. 4
D. 0
Ans. D
28. The ratio of radii of two right circular cylinders is 6:7 and their heights are in the ratio 5:9. The ratio of their respective curved surface areas is
A. 14:15
B. 17:19
C. 23:29
D. 10:21
Ans. D
29. The product of two numbers is 16200. If their LCM is 216, find their HCF.
A. 75
B. 70
C. 80
D. Data inconsistent
Ans. A
30. A positive integer is selected at random and is divided by 7,what is the probability that the remainder is 1?
A. 3/7
B. 4/7
C. 1/7
D. 2/7
Ans. C
31. If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is:
A. 2.870
B. 2.967
C. 3.876
D. 3.912
Ans. C
32. If log 27 = 1.431, then the value of log 9 is:
A. 0.934
B. 0.945
C. 0.954
D. 0.958
Ans. C
33. If log a/b + log b/a = log (a + b), then:
A. a + b = 1
B. a – b = 1
C. a = b
D. a2 – b2 = 1
Ans. A
34. Solve the equation log41/4 = x.
A. -1
B. 0
C. 1
D. 2
Ans. A
35. For what x is the following equation correct:
logx125 = 3
A. 1
B. 2
C. 3
D. 5
Ans. D
