SBI Assistant Manager System (ITSO) Examination 2015 Quantitative Aptitude Question Paper with Answer Key

S.B.I. Assistant Manager System (ITSO) Exam, 2015
SBI Assistant Manager System (ITSO) Examination 2015 Quantitative Aptitude Question Paper with Answer Key

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

Ans : (D)

2. I. x2 – 13x + 40 = 0

    II. y2 – 11y + 28 = 0

Ans : (E)

3. I. x2 – 10x + 24 = 0

    II. 3y2 – 19y + 28 = 0

Ans : (B)

4. I. 14 x2 – 13x + 3 = 0

    II. 99y2 – 62y + 8 = 0

Ans : (E)

5. I. 2x2 – 15x + 28 = 0

    II. 2y2 – 21y + 54 = 0

Ans : (C)

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

Ans : (B)

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

Ans : (B)

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

Ans : (E)

9. 15 19  83  119  631  ?

(A)  731

(B)  693

(C)  712

(D)  683

(E)  None of these

Ans : (A)

10. ?  6  3  3  6  24  192

(A)  12

(B)  3

(C)  9

(D)  24

(E)  16

Ans : (D)

11. 43  69  58  84  73  ?

(A)  62

(B)  98

(C)  109

(D)  63

(E)  None of these

Ans : (E)

12. 3 3  6.4  11.5  18.3   ?

(A)  21.8

(B)  25.6

(C)  27.4

(D)  32.3

(E)  26.8

Ans : (E)

13. 16 18  28  54  ?  186

(A)  112

(B)  104

(C)  124

(D)  82

(E)  None of these

Ans : (B)

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

Ans : (B)

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

Ans : (D)

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

Ans : (E)

17. 

(A)  36

(B)  39

(C)  42

(D)  45

(E)  48

Ans : (B)

18. 8% of 550 – 3.2% of 750 = ?

(A)  5.4

(B)  4.8

(C)  4.2

(D)  3.6

(E)  2.4

Ans : (E)

19. 

(A)  476

(B)  676

(C)  784

(D)  1024

(E)  1156

Ans : (B)

20. 5% of 8924.19 + 22% of 5324.42 = ?

(A)  6278

(B)  6128

(C)  6228

(D)  5624

(E)  6838

Ans : (E)

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

Ans : (A)

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

Ans : (A)

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

Ans : (E)

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

Ans : (B)

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

Ans : (B)

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

Ans : (C)

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

Ans : (E)

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

Ans : (E)

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

Ans : (D)

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

Ans : (D)

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

Ans : (E)

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

Ans : (C)

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

Ans : (E)

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) 

Ans : (A)

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

Ans : (D)

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