State Bank of India Probationary Officers (Pre) Examination Held on 10-7-2016 Numerical Ability Question Paper with Answer Key

State Bank of India Probationary Officers (Pre) Examination
State Bank of India Probationary Officers (Pre) Examination Held on 10-7-2016 Numerical Ability Question Paper with Answer Key

State Bank of India Probationary Officers (Pre.) Exam., 2016

(Held on 10-7-2016)

Numerical Ability

Directions – (Q. 1-5) There are five companies P, Q, R , S and T and we have given the no. of employees working in different companies. In the table we have also given the percentage of male and female employees of HR and Marketing department.

1. The ratio of female employee in HR dept. of company S and T together to male employees of Marketing department in company P and Q together ?

(A)  41 : 55

(B)  43 : 39

(C)  55 : 41

(D)  39 : 3

(E)  None of the above

Ans: (D)

2. Difference between male employees of Marketing dept. in all companies together (excluding company T) and the female employees of HR dept. in all companies together (excluding company Q and T) ?

(A)  21

(B)  26

(C)  31

(D)  36

(E)  None of these

Ans: (B)

3. Total number of Marketing employees of company Q and S is what % more than the total no. of Marketing employee in company R ?

(A)  536.76%

(B)  526.67%

(C)  576.76%

(D)  546.67%

(E)  545.545%

Ans: (E)

4. If 40% of the employees of company T in HR department have graduation degree and 60% of the employees of the same company in the Marketing dept. have graduation degree, then how many employees have graduation in degree in company T in both dept. together.

(A)  75

(B)  108

(C)  106

(D)  92

(E)  66

Ans: (A)

5. The ratio of female employees of company P and Q in HR dept. to male employee of company S and R in Marketing dept. ?

(A)  41 : 13

(B)  74 : 29

(C)  22 : 59

(D)  29 : 74

(E)  None of these

Ans: (B)

6. Eight liters are drawn from a cask full of wine and the cask is filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in case to that of water is 16 : 65. How much wine did the cask hold originally ?

(A)  18 litres

(B)  24 litres

(C)  32 litres

(D)  42 litres

(E)  None of these

Ans: (B)

7. A and B can complete a piece of work in 80 days and 120 days respectively. They started working together, but A left after 20 days. After another 12 days C joined B and they completed the work in 28 more days. In how many days can C alone complete the work ?

(A)  110 days

(B)  112 days

(C)  114 days

(D)  120 days

(E)  None of these

Ans: (B)

8. A man sets out on cycle from Delhi to Faridabad, and at the same time another man starts from Faridabad on cycle for Delhi. After passing each other they complete their journeys in  hours respectively. At what rate does the second man cycle if the first man cycles at 14 kmph ?

(A)  10 kmph

(B)  5 kmph

(C)  7 kmph

(D)  8 kmph

(E)  None of these

Ans: (A)

9. What would be the compound interest accrued on an amount of Rs. 8,400 at the rate 5% per annum at the end 3 years ? (Rounded off to two digits after decimal).

(A)  Rs. 4,205.62

(B)  Rs. 2,584.16

(C)  Rs. 3,560.16

(D)  Rs. 3,820.14

(E)  None of these

Ans: (C)

10. The average age of all the 100 employees in an office is 29 years, where 2/5 employees are ladies and the ratio of average age of men to women is 5 : 7. The average age of female employees is-

(A)  18 years

(B)  35 years

(C)  25 years

(D)  30 years

(E)  None of these

Ans: (B)

Directions – (Q. 11-15) Two equations (I) and (II) are given in each question. On the basis of these equations, you have to decide the relation between x and y and give answer.

(A) if x > y              (B) if x < y

(C) if x ≥ y             (D) if x ≤ y

(E) if x = y, or no relation can be established between x and y

11. I. 5x2 – 87x + 378 = 0

II. 3y2 – 49y + 200 = 0

Ans: (A)

12. I. 10x2 – x – 24 = 0

II. y2 – 2y = 0

Ans: (E)

13. I. x2 – 5x + 6 = 0

II. 2y2 – 15y + 27 = 0

14. I. 3x + 2y = 301

II. 7x – 5y = 74

Ans: (B)

15. I. 14x2 – 37x + 24 = 0

II. 28y2 – 53y + 24 = 0

Ans: (C)

Directions – (Q. 16-20) In the Bar-chart, total members enrolled in different years from 1990 to 1994 in two gymnasium A and B. Based on this Bar-chart solve the following questions.

16. The total members enrolled in gymnasium B from 1991 to 1994 together is approximate what per cent more than the total members enrolled in gymnasium A in 1993 and 1994 together ?

(A)  175%

(B)  180%

(C)  170%

(D)  75%

(E)  185%

Ans: (B)

17. In the year 1989 to 1990, 25% increase in total number of members enrolled of both gymnasium, then find the total no. of members enrolled in 1989 ?

(A)  332

(B)  296

(C)  292

(D)  286

(E)  319

Ans: (A)

18. The ratio between total members of both gymnasium in 1992 to total members in 1993 of both gymnasium is-

(A)  11 : 16

(B)  21 : 11

(C)  11 : 21

(D)  25 : 13

(E)  27 : 22

Ans: (A)

19. The number of members of gymnasium A in 1993 is what % of the no. of members of gymnasium B in 1990 ?

(A)  60.98%

(B)  55.75%

(C)  95.55%

(D)  93.85%

(E)  None of these

Ans: (C)

20. Total members enrolled in gymnasium A in 1991, 1992 and 1994 together is what % less than m embers enrolled in gymnasium Bin 1990, and 1993 together ?

(A)  30%

(B)  35%

(C)  32.5%

(D)  31.5%

(E)  38.77%

Ans: (E)

Directions – (Q. 21-25) What will come in place of the question-mark (?) in each of the following series ?

21. 17,     52,     158,   477,   ?        4310

(A)  1433

(B)  1432

(C)  1435

(D)  1434

Ans: (C)

22. 3,       22,     ?,       673,   2696,          8093

(A)  133

(B)  155

(C)  156

(D)  134

(E)  None of these

Ans: (D)

23. 6,       13,     38,     ?,       532,   2675

(A)  129

(B)  123

(C)  172

(D)  164

(E)  None of these

Ans: (A)

24. 286,   142,   ?        34,     16,     7

(A)  66

(B)  72

(C)  64

(D)  74

(E)  None of these

Ans: (E)

25. 17,     9,       ?,       16.5,  35,     90

(A)  5

(B)  15

(C)  10

(D)  20

(E)  None of these

Ans: (C)

26. A man sells two pipes at Rs. 12 each. He gains 20% on one and loses 20% on the other. In the whole transaction, there is-

(A)  Neither loss nor gain

(B)  Profit of Rs. 1

(C)  Loss of Rs. 1

(D)  Profit of Rs. 2

(E)  None of these

Ans: (C)

27. In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. A student attempted all the 200 questions and scored in all 200 marks. The number of question, he answered correctly was –

(A)  82

(B)  80

(C)  68

(D)  60

(E)  None of these

Ans: (*)

28. A copper wire is bent in the form of an equilateral triangle and has area  If the same wire is bent into the form of a circle, the area (in cm2) enclosed by the wire is 

(A)  364.5

(B)  693.5

(C)  364.5

(D)  639.5

(E)  None of these

Ans: (C)

29. What will be the ratio of petrol and kerosene in the final solution formed by mixing petrol and kerosene that are present in three identical vessels in the ratio 4 : 1, 5 : 2 and 6 : 1 respectively ?

(A)  166 : 22

(B)  83 : 22

(C)  83 : 44

(D)  78 : 55

(E)  None of these

Ans: (B)

30. Sharma invests 15% of her monthly salary, i.e., Rs. 4,428 in Mutual Funds. Later she invests 18% of her monthly salary on Pension Policies also she invests another 9% of her salary on Insurance Policies. What is the total monthly amount invested by Mrs. Sharma ?

(A)  Rs. 13,356.8

(B)  Rs. 12,398.4

(C)  Rs. 56,678.4

(D)  Can’t be determined

(E)  None of these

Ans: (B)

Directions – (Q. 31-35) What approximate value should come in place question-mark (?) in the following questions ?

31. 999 × 9.004 × 16.997 = ?

(A)  3200

(B)  4100

(C)  2700

(D)  3700

(E)  4500

Ans: (D)

32. 

(A)  490

(B)  590

(C)  540

(D)  460

Ans: (A)

33. 5940 ÷ 28 ÷ 6 = ?

(A)  40

(B)  35

(C)  46

(D)  52

(E)  27

Ans: (B)

34. 15.5% of 850 + 24.8% of 650 = ?

(A)  295

(B)  330

(C)  270

(D)  375

(E)  220

Ans: (A)

35. 

(A)  54

(B)  59

(C)  41

(D)  37

(E)  47

Ans: (E)

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)

© Copyright Entrance India - Engineering and Medical Entrance Exams in India | Website Maintained by Firewall Firm - IT Monteur