SBI Assistant Manager System (ITSO) Exam., 2015
Quantitative Aptitude
Directions – (Q. No. 1-5) In the following questions two equations numbered I and II are given you have to solve both the questions and given answer. It-
(A) x > y
(B) x ≥ y
(C) x < y
(D) x ≤ y
(E) x = y or relationship cannot be established
1. I. x2 + 5x + 6 = 0
II. 2y2 + 7y + 6 = 0
2. I. x2 – 13x + 40 = 0
II. y2 – 11y + 28 = 0
3. I. x2 – 10x + 24 = 0
II. 3y2 – 19y + 28 = 0
4. I. 14 x2 – 13x + 3 = 0
II. 99y2 – 62y + 8 = 0
5. I. 2x2 – 15x + 28 = 0
II. 2y2 – 21y + 54 = 0
6. There are two bags A and B. Bag A contains 6 red balls and 10 green balls and Bag B contains 4 red balls and 6 green balls. One bag is selected at random. From the selected bag one bal is drawn at random. What is the probability that the ball drawn is red ?
(A) 27/80
(B) 31/80
(C) 39/80
(D) 29/80
(E) 33/80
7. Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. What is the ratio of their speeds.
(A) 1 : 3
(B) 3 : 2
(C) 3 : 4
(D) 1 : 2
(E) 2 : 1
Directions (Q. 8-13) What should come in place of question mark (?) in the following number series ?
8. 1 2 6 21 ? 445
(A) 150
(B) 185
(C) 84
(D) 292
(E) 88
9. 15 19 83 119 631 ?
(A) 731
(B) 693
(C) 712
(D) 683
(E) None of these
10. ? 6 3 3 6 24 192
(A) 12
(B) 3
(C) 9
(D) 24
(E) 16
11. 43 69 58 84 73 ?
(A) 62
(B) 98
(C) 109
(D) 63
(E) None of these
12. 3 3 6.4 11.5 18.3 ?
(A) 21.8
(B) 25.6
(C) 27.4
(D) 32.3
(E) 26.8
13. 16 18 28 54 ? 186
(A) 112
(B) 104
(C) 124
(D) 82
(E) None of these
14. A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits Rs. 1600 each on 1st January and 1st July of a year. At the end of a year, the amount he would have gained by way of interest is how much ?
(A) Rs. 120
(B) Rs. 121
(C) Rs. 123
(D) Rs. 122
(E) Rs. 119
15. Fifty-three per cent of number is 358 less than the square of 26. What is the value of three fourth of 23 per cent of that number ?
(A) 101
(B) 109.5
(C) 113
(D) 103.5
(E) None of these
Directions – (Q. 16-20) What should come in place of question mark (?) in the following question ?
16. (8)75 × (4096)0.25 ÷ (64)−1 = (8) ?
(A) 2.25
(B) 3.0
(C) 3.25
(D) 3.50
(E) 3.75
17. 
(A) 36
(B) 39
(C) 42
(D) 45
(E) 48
18. 8% of 550 – 3.2% of 750 = ?
(A) 5.4
(B) 4.8
(C) 4.2
(D) 3.6
(E) 2.4
19. 
(A) 476
(B) 676
(C) 784
(D) 1024
(E) 1156
20. 5% of 8924.19 + 22% of 5324.42 = ?
(A) 6278
(B) 6128
(C) 6228
(D) 5624
(E) 6838
21. How many ways are there in selecting 5 members from 6 males and 5 females, consisting 3 males and 2 females ?
(A) 200
(B) 300
(C) 400
(D) 500
(E) 550
Directions- (Q. 22-27) Data regarding number of boys and girls studying is standard X of five different schools.
22. What is difference between total number of boys studying in schools B and C together and the total number of girls in the same schools together ?
(A) 350
(B) 200
(C) 400
(D) 309
(E) 370
23. The number of students (boys and girls together) studying in school B are what per cent less than that in school D ?
(A) 20
(B) 15
(C) 40
(D) 25
(E) 30
24. Number of students (boys and girls together) in standard V of school E is 20% less than those in standard X of the same school. How many students study in standard V in the same school ?
(A) 506
(B) 472
(C) 420
(D) 464
(E) 524
25. Number of boys studying in school E is what per cent more than the number of boys studying in school A ?
(A) 48
(B) 52
(C) 32
(D) 45
(E) 64
26. What is the respective ratio between the number of students (boys and girls together) studying in school A and that in school C ?
(A) 7 : 11
(B) 25 : 27
(C) 21 : 23
(D) 21 : 22
(E) 27 : 25
27. What is the average number of girls studying in schools C, D and E
(A) 180
(B) 150
(C) 250
(D) 205
(E) 210
Directions – (Q. No. 28-33) Study the following table carefully and answer the question given.
Note – Faculty Members consist of only Professors and Associate Professors in the given Universities.
28. The number of male Associate Professors in University A is what per cent of the number of female Associate Professors in the same university ?
(A) 26
(B) 28
(C) 22
(D) 15
(E) 25
29. What is the average number of Associate Professor in Universities C and D together ?
(A) 54
(B) 50
(C) 52
(D) 48
(E) 46
30. The total number of Professors in Universities A and C together is approximately what per cent less than the total number of Associate Professors in the same Universities together ?
(A) 37
(B) 58
(C) 48
(D) 42
(E) 28
31. What is the respective ratio between the number of female professors in University B and that in University D ?
(A) 17 : 11
(B) 13 : 11
(C) 15 : 11
(D) 17 : 12
(E) 13 : 12
32. What percentage of the total number of faculty members in Universities A and B together are male Associate Professors ?
(A) 12
(B) 14.5
(C) 15
(D) 13
(E) 16.5
33. What is difference between the total number of male faculty members in Universities B and D together and the total number of female faculty members in Universities A and C together ?
(A) 60
(B) 69
(C) 75
(D) 72
(E) 70
34. The cylinder of radius 8 m and height 10 m is melted down and all the metal is used to recast a new solid cylinder with radius 12 m. What is the height of the new cylinder ? (in m)
(A) 
(B) 6
(C) 7
(D) 
(E) 
35. The cost prices of two tables are same. One is sold at a profit of 20% and the other for Rs. 340 more than the first one. If the overall profit earned after selling the tables is 24%, what is the cost price of each table ?
(A) Rs. 4400
(B) Rs. 3500
(C) Rs. 4800
(D) Rs. 4250
(E) Rs. 3820