**Indian Bank Specialist Officer (Pre.) Examination Held on 8-3-2020**

**Quantitative Aptitude**

1. A sum of money was went at 10% per annum compounded annually for 2 years. If the interest was compounded half yearly, he would have received Rs 440.5 more. Find the sum

(A) Rs 84,000

(B) Rs 96,000

(C) Rs 1,00,000

(D) Rs 1,04,000

(E) Rs 80,000

2. A project requires 12 women to complete in 16 days. 12 women started working and after a few days from the start of the project, 4 women left. If the remaining project was completed in 18 days, in how many days the whole project was completed?

(A)

(B) 26

(C) 22

(D)

(E) 25

**Directions-(Q. 3 to 8) **Refer to the following graph and answer the given questions.

(**Note: **There are only two streams available in the school i.e., Science and Commerce.)

3. Number of students who opted for commerce stream decreased by what per cent from 2015 to 2017?

(A) 45

(B) 55

(C) 42

(D) 49

(E) 52

4. What is the difference between the number of students (commerce + science streams) in 2015 and 2018?

(A) 22

(B) 25

(C) 30

(D) 15

(E) 36

5. What is the average number of students who opted for commerce stream in 2014, 2015 and 2016?

(A) 58

(B) 62

(C) 67

(D) 60

(E) 64

6. If the number of students who opted for science stream in 2019 was 10% more than that in 2016 and the number of students (commerce + science streams) in 2019 was 25% less than that in 2015. How many students opted for commerce stream in 2019?

(A) 44

(B) 55

(C) 50

(D) 45

(E) 48

7. If 20% of the number of students who were in science stream in April 2018 switched to commerce stream by the beginning of June, 2018 number of students who opted for commerce stream increased by what per cent (approximately) at the end of June, 2018 as compared to April, 2018?

**(Note: **No student left commerce stream in 2018.)

(A)

(B)

(C)

(D) 20%

(E) 25%

8. What is the respective ratio between number of students who opted for science stream in 2014 and those who opted for commerce stream in 2014?

(A) 3 : 2

(B) 8 : 5

(C) 5 : 6

(D) 5 : 8

(E) 2 : 3

9. The cost of fencing a square field (S_{1}) @ Rs 11 per m is 10% more than the cost of fencing another square field (S_{2}) @ Rs 25 per m. The side of S_{1} is what per cent more than that of S_{2} ?

(A) 100

(B) 210

(C) 150

(D) 160

(E) 270

**Directions-**(Q. 10 to 14) Data given below shows total expense of a company in three different years.

**2015: **Total salary expense of 80 employees is Rs 10 lakhs.

**2016: **Total expense in this year is same as previous year while salary expense is increased by 26% as compared to previous year and average salary expense is decreased by Rs 500 as compared to previous year.

**2017: **Total expense is Rs 60 lakhs which is 20% more than that in 2016. Others expense is Rs 47.5 lakhs. Number of employees is decreased by 5 as compared to previous year.

Total expenses = Salary expense + Other expense

Salary expense = Number of employees × Average salary expense

10. Find the ratio between others expense in 2015 to salary expense in 2017?

(A) 1 : 4

(B) 4 : 1

(C) None of the given options

(D) 5 : 16

(E) 16 : 5

11. Average salary expense in 2015 is what per cent less than that in 2017?

(A) None of the given options

(B) 10%

(C) 15%

(D) 5%

(E) 25%

12. If average employees in 2015, 2017 and 2018 is 82. Find number of employees in 2018?

(A) 86

(B) None of the given options

(C) 76

(D) 66

(E) 56

13. Female employees in 2016 is 45 more than male employees in 2016. Find the ratio between male to female employees in 2016?

(A) 11 : 9

(B) 5 : 2

(C) 2 : 5

(D) 9 : 11

(E) None of the given options

14. Find the difference between Salary expense in 2017 to Salary expense in 2016?

(A) 10,000

(B) 90,000

(C) 60,000

(D) 40,000

(E) None of the given options

**Directions-(Q. 15 to 19) **What approximate value will come in place of question-mark (?) in the given question?

15. (18.06 + 14.01) × (6.011 + ?) = 802

(A) 19

(B) 23

(C) 25

(D) 32

(E) 31

16. 2831.994 23.998 + 11.99^{2} 5.991 = ?^{2}

(A) 144

(B) 12

(C) 196

(D) 14

(E) 17

17. 20% of 451 + 49 4.99 = 24.91^{*} ?

(A) 1

(B) 8

(C) 10

(D) 4

(E) 20

18. 80.05% of (2.01 * 40.12) = ?^{2}

(A) 6

(B) 10

(C) 4

(D) 12

(E) 8

19. 60.1% of 374.98 – ? = 13.02^{2}

(A) 36

(B) 56

(C) 42

(D) 96

(E) 98

20. A shopkeeper marked the price of an article at Rs 1600 and sold it to Parul at a discount of 25%. Parul had to pay a tax on the selling price. If the total amount she paid was Rs 1,320, the tax paid was what per cent of the selling price?

(A) 15

(B) 6

(C) 5

(D) 10

(E) 25

21. Vessel A contains mixture of water and milk such that the quantity of milk such that the quantity of milk is five times that of water. 60 litre mixture was taken out and poured in vessel B. 48 litre pure milk and 4 litre of water is added to vessel B. In vessel B, the quantities of milk is what per cent of that of water?

(A) 500

(B) 600

(C) 700

(D) 800

(E) 100

22. Out of her monthly salary, Ruhi spends 15% on house rent, and Rs 4,000 on transportation. From the remaining salary she spends 80% and saves the rest in her Bank A/c. The amount she pays as rent is less than that she saves in Bank A/c by Rs 240. What is Jolly’s monthly salary if it is 50% more than Ruhi’s?

(A) Rs 78,000

(B) Rs 52,000

(C) Rs 55,000

(D) Rs 75,000

(E) Rs 80,000

23. Ratio of A’s age 4 years later to B’s age 6 years later is 2 : 1. Another person C whose present age is twice the sum of present age of A and B together and after 4 years ratio of C’s age to B’s age is 23 : 4 then find the present age of B?

(A) 16 years

(B) 10 years

(C) 15 years

(D) 12 years

(E) 18 years

**Directions-(Q. 24-29) **Study the following table and answer the given question:

24. The number of male employees (graduate and under-graduate in company B is what per cent more than the number of female employees (graduate and under-graduate) in Company D?

(A) 83

(B) 82.5

(C) 85

(D) 84.5

(E) 87.5

25. In company C, the respective ratio between female graduate employees and female under-graduate employees is 7 : 8. What is the difference between the number of undergraduate male employees and that of undergraduate female employees?

(A) 36

(B) 34

(C) 37

(D) 38

(E) 39

26. In company A, if there are equal number of graduate female employees and under-graduate female employees, what is the number of graduate employees (male and female)?

(A) 90

(B) 95

(C) 98

(D) 70

(E) 78

27. What is the average number of male employees (graduate and under-graduate) in the four companies?

(A) 146

(B) 147

(C) 151

(D) 137

(E) 131

28. If in company B, the number of under-graduate female employees is 17 more than that of male employees, what is the number of graduate female employees?

(A) 37

(B) 26

(C) 36

(D) 32

(E) 28

29. In company D, number of graduate employees (male and female) is 189. What per cent of number of female employees in company D are under-graduate?

(A) 51

(B) 71

(C) 59

(D) 65

(E) 19

**Directions-(Q. 30-35) ** Refer to the pie charge and answer the given question. A college collected data from 2016-2018 comprising of 220 students (out of total number of students in the college) who were placed from different subject streams.

30. What is the average number of students who got placed from Marketing, Accounts and Economics in 2016-18?

(A) 38

(B) 36

(C) 44

(D) 48

(E) 40

31. What is the difference between number of students who got placed from HR and Economics in 2016-18?

(A) 10

(B) 15

(C) 20

(D) 11

(E) 21

32. What is the central angle corresponding to the number of students who got placed from accounts stream in 2016-18 (in degrees)?

(A) 72°

(B) 75°

(C) 80°

(D) 65°

(E) 90°

33. If only 88% of total number of students were placed during 2016-18, what was the ratio of number of students who got placed from Economics stream in 2016-18 and total number of students (those who got placed + not placed) in 2016-18 from all streams together?

(A) 13 : 45

(B) 11 : 50

(C) 12 : 41

(D) 50 : 11

(E) 11 : 53

34. If the respective ratio between the number of males and the number of females who got placed from the Marketing Stream was 3 : 8 and that from Operations stream was 7 : 4 in 2016-18. What is the total number of males from Marketing and operations streams together who got placed in 2016-18?

(A) 23

(B) 26

(C) 28

(D) 29

(E) 35

35. If the number of students who got placed from Accounts stream in 2019-20 was 60% less than the number of students who got placed from Economics stream in 2016-18, what was the difference between the number of students who got placed from Accounts stream in 2016-18 and in 2019-20?

(A) 22

(B) 20

(C) 28

(D) 24

(E) 33

**Directions-(Q. 36-41) **In this question two equations numbered I and II are given. You have to solve both the equations and mark the appropriate option and answered as :

(A) x > y

(B) x ≥ y

(C) x < y

(D) x ≤ y

(E) x = y or relationship cannot be established

36. (I) 3x^{2} – 22x + 7 = 0

(II) y^{2} – 15y + 56 = 0

37. (I) 3x^{2} – 7x + 4 = 0

(II) 2y^{2} – 3y + 1 = 0

38. (I) x^{2} + 20x + 96 = 0

(II) y^{2} + 18y + 80 = 0

39. (I) 2x^{2} – 5x + 3 = 0

(II) 2y^{2} – 7y + 6 = 0

40. (I) x^{2} – 8x + 15 = 0

(II) 2y^{2} – 13y + 20 = 0

41. (I) x^{2} – 196

(II) y^{2} – 144 = 0

42. A and B started a business with B’s investment being twice of A’s investment. At the end of 8th month from the start of the business. A and B left and C joined with an investment which was twice of B’s investment. If the total annual profit eared was Rs 20,800, what was B’s share in the profit?

(A) Rs 6,640

(B) Rs 8,320

(C) Rs 8,500

(D) Rs 6,520

(E) Rs 9,560

43. The average of three consecutive positive even integers is more than that of four consecutive positive odd integers by 10. The sum of second highest even integer and the second highest odd integer is 27. What is the lowest odd integer?

(A) 9

(B) 11

(C) 5

(D) 3

(E) 13

44. The time taken by a boat to cover certain distance upstream is 50% more than it takes to travel the same distance downstream. If speed of the current is 3 km/h, what is the speed of the boat in still water? (in km/h)

(A) 15

(B) 20

(C) 25

(D) 10

(E) 5

45. A sum of money (Rs X) was invested for 8 years in a scheme which offers simple interest at a rate of 20% p.a. The interest received after 8 years was reinvested in the same scheme for the same period. If the interest received after reinvesting for the said period was Rs ‘X + 7020’, what is the value of X?

(A) Rs 6,400

(B) Rs 4,800

(C) Rs 4,500

(D) Rs 5,000

(E) Rs 5,600

**Directions-(Q. 46-50) **In this question, a number series is given in which one number is wrong. Find out the wrong number.

46. 2 13 27 113 561 3369 23581

(A) 27

(B) 13

(C) 113

(D) 561

(E) 3369

47. 9 4.5 6.5 14 57 457 7313

(A) 4.5

(B) 57

(C) 457

(D) 9

(E) 7313

48. 1728 998 1511 1167 1384 1260 1323

(A) 998

(B) 1511

(C) 1323

(D) 1167

(E) 1260

49. 5 86 174 276 399 558 736

(A) 276

(B) 736

(C) 558

(D) 86

(E) 399

50. 50 51 47 56 42 65 29

(A) 51

(B) 47

(C) 56

(D) 42

(E) 65