**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. x^{2} + 5x + 6 = 0

II. 2y^{2} + 7y + 6 = 0

2. I. x^{2} – 13x + 40 = 0

II. y^{2} – 11y + 28 = 0

3. I. x^{2} – 10x + 24 = 0

II. 3y^{2} – 19y + 28 = 0

4. I. 14 x^{2} – 13x + 3 = 0

II. 99y^{2} – 62y + 8 = 0

5. I. 2x^{2} – 15x + 28 = 0

II. 2y^{2} – 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

**Latest Govt Job & Exam Updates:**