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(Paper) SBI Clerk Exam Paper - 2016 "Held On 29-05-2016"(NUMERICAL ABILITY)

::NUMERICAL ABILITY::

1. The circumference of circle A is 75 m more than its diameter. If the radius of circle B is 3.5 m more than the radius of circle A, what is the circumference of circle B ?(in m)

(1) 110
(2) 140
(3) 163
(4) 96
(5) 132

2. A shopkeeper sold an article at 20% discount and earned d pro×t of 4%. By what percent the marked price of the article more than the cost price of the article ?

(1) 20%
(2) 15%
(3) 40%
(4) 25%
(5) 30%

Directions (3-7) : What will come in place of question mark (?) in the given number series ?

3. 89 86 78 63 39 ?

(1) 19
(2) 4
(3) 9
(4) 13
(5) 28

4. 142 70 34 16 ? 2.5

(1) 5
(2) 7
(3) 3
(4) 12
(5) 8

5. 21 37 40.2 88.2 94.6 ?

(1) 211.6
(2) 224.5
(3) 192.3
(4) 174.6
(5) 182.8

6. 17 9 10 16.5 35 ?

(1) 84
(2) 102.5
(3) 90
(4) 92.5
(5) 72

7. 0.75 ? 6 36 288 2880

(1) 3
(2) 1.5
(3) 2
(4) 4.5
(5) 5

8. Pihu and Rani start a business together by investing Rs.9 ,000/-and Rs.6,300/- respectively. After a certain period, Pihu withdrew from the business completely. If at the end of 2 years the total profit earned was Rs.1 3,050/- and Pihu's share was Rs.6,750/-, after how many months did Pihu withdraw from business ?

(1) 23 months
(2) 14 months
(3) 20 months
(4) 18 months
(5) 12 months

9. Jar A contains 'X' litre of pure milk only. A 27 litre mixture of milk and water in the respective ratio of 4 : 5, is added to jar A. The new mixture thus formed in jar A contains 70% milk, what is the value of X ?

(1) 23
(2) 30
(3) 27
(4) 48
(5) 28

10. The speed of a boat in still water is 500% more than the speed of the current. What is the respective ratio between the speed of the boat downstream and speed of the boat upstream ?

(1) 9 : 2
(2) 7 : 3
(3) 7 : 5
(4) 9 : 4
(5) 4 : 3

Directions (11-15) : Study the table and answer the given questions.

Number of employees in five organisations during five years

11. Number of employees in organisations E increased by what percent from 2003 to 2006 ?

(1) 105%
(2) 110%
(3) 115%
(4) 102%
(5) 125%

12. Number of employees in organisations B and C decreased by 5% and 10% respectively from 2007 to 2008. What was the total number of employees in organisations B and C together in 2008 ?

(1) 177
(2) 179
(3) 175
(4) 181
(5) 163

13. What is the difference between total number of employees in organisation A in 2003 and 2004 together and that in organisation D in the same years together ?

(1) 77
(2) 79
(3) 73
(4) 83
(5) 67

14. What is the respective ratio between total number of employees in organisations B and C together in 2004 and total number of employees in organisations D and E together in 2007 ?

(1) 21 : 22
(2) 23 : 29
(3) 23 : 27
(4) 21 : 25
(5) 21 : 23

15. What is the average number of employees in organisations A, B and E in 2005 ?

(1) 98
(2) 96
(3) 92
(4) 88
(5) 94

16. The average runs of a cricketer in a tournament, in which he played 14 matches, are 47. His average runs in the first seven matches are 57 and that in the last five matches are 44. If the runs made by him in 8th match are 15, how many runs did he make in 9th match ?

(1) 24
(2) 32
(3) 26
(4) 22
(5) 28

17. An equal amount of sum, 7 P is invested in scheme A and scheme B. Both the schemes A and B offer simple interest at the rate of 12% and 9% respectively. If at the end of two years total amount received from both the schemes together was 7 21,780/-, what is the value of P ?

(1) Rs.9,000/-
(2) Rs.9,600/-
(3) Rs.12,000/-
(4) Rs.8,400/-
(5) Rs.8,000/-

Directions (18-27) : What will come in place of question mark (?) in the given questions ?

(1) 15
(2) 5
(3) 100
(4) 25
(5) 10

19. 80 ÷ 24 × ? = 600

(1) 16
(2) 12
(3) 18
(4) 14
(5) 24

20. 57 - 1725 + 69 = 4 × ?

(1) 9
(2) 11
(3) 13
(4) 7
(5) 8

(1) 26
(2) 24
(3) 22
(4) 28
(5) 25

(1) 112
(2) 164
(3) 128
(4) 116
(5) 136

(1) 15
(2) 225
(3) 16
(4) 256
(5) 289

(1) 6
(2) 6.4
(3) 8
(4) 4.2
(5) 4

(1) 3.1
(2) 2.53
(3) 2
(4) 2.48
(5) 3.6

(1) 18
(2) 324
(3) 14
(4) 144
(5) 196

28. The simple interest at the rate of 6% p.a. received on a principal of Rs. X was RS.482.40 when invested for 3 years in scheme A. If scheme B offered compound interest compounded annually at 10% p.a., what was the interest received by investing Rs. (X-680) for 2 years in scheme B ?

(1) Rs. 420/-
(2) Rs. 490/-
(3) Rs. 530/-
(4) Rs. 540/-
(5) Rs. 650/-

29. Mary paid 15% of her monthly salary towards an EMI. From the remaining salary. she paid 10% as Internet bill and 20% as rent. If after the mentioned expenses she was left with Rs. 24,990 /-, what was Mary's monthly salary ?

(1) Rs.45,000/-
(2) Rs.48,000/-
(3) Rs.42,000-
(4) Rs.36,000/-
(5) Rs.40,000 /-

30. The sum of four consecutive even numbers is 107 more than the sum of three consecutive odd numbers. If the sum of smallest odd number and the smallest even number is 55. what is the smallest even number ?

(1) 36
(2) 40
(3) 32
(4) 38
(5) 34

31. A, B and C. each working alone, can finish a piece of work in 27, 33 and 45 days respectively. A starts by working alone for 12 days, then B takes over from A and works for 11 days. At this stage C takes over from B and completes the remaining work. In how many days the whole work was completed ?

(1) 33
(2) 31
(3) 39
(4) 35
(5) 37

32. A rectangular garden of length 12m is surrounded by a 2m wide path. If the area of the garden is 84 m² and the cost of gravelling is Rs.8 per m², what is the total cost of gravelling the path ? ( in Rs.)

(1) Rs.780/-
(2) Rs.742/-
(3) Rs.724/-
(4) Rs.775/-
(5) Rs.736/-

33. Train A, travelling at 'S' m/sec, can cross a platform double its length in 21 sec. The same train, travelling at (S + 5) m/sec, can cross the same platform in 18 sec. What is the value of 'S' ?

(1) 27.5 m/s
(2) 32.5 m/s
(3) 30 m/s
(4) 35 m/s
(5) 25 m/s

34. The present age of Charu is 2.5 times the present age of Harsh. Had Harsh been two years younger and Charu been 13 years older, Charu's age would have been 3.5 times Harsh's age.
What is Harsh's present age ?

(1) 48 years
(2) 25 years
(3) 20 years
(4) 28 years
(5) 36 years

35. 27 is divided into two parts such that 5 times the first part added to 11 times the second part makes 195. Then respective ratio between first and second part is :

(1) 17 : 10
(2) 3 : 2
(3) 2 : 7
(4) 5 : 4
(5) 5 : 2