# Arithmetic – WB Police SI Previous Year Question Paper

Contents

## WB Police SI Question Paper – 2021

2. A sum was put at simple interest at a certain rate for 3 years. Had it been put at 1% higher rate; it would have fetched Rs.5,100 more. The sum is

(A) Rs.1,25,000

(B) Rs.1,70,000

(C) Rs.1,20,000

(D) Rs.1,50,000

6. How many two-digit prime numbers are there?

(A) 21

(B) 25

(C) Can’t be determined

(D) 23

13. Which least number is divisible by 12, 15, 20 and 25?

(A) 150

(B) 300

(C) 600

(D) 200

17. 45 men can produce 10000 electric bulbs in 12 days in a co-operative concern. The concern got an order to produce 10000 electric bulbs in 9 days. How many more men would be employed to meet the order?

(A) 55

(B) 60

(C) 10

(D) 15

19. A Tea seller blends Tea A worth Rs.250 per kg with Tea B worth Rs.150 per kg in a ratio of 2 : 5 and sells the mixed blend at Rs.200 per kg. What will be his percentage of profit?

(A) 10%

(B) 12%

(C) 18%

(D) 15%

21. A sum, at the compound rate of interest, becomes 2(½) times in 6 years. The same sum becomes how many times in 18 years?

(A) ⁶²⁵⁄₁₆

(B) ⁵⁄

(C) ¹²⁵⁄

(D) ²⁵⁄

24. If time taken to travel between two stations has to be reduced by 20%, then by what per cent would the speed of the train has to be increased?

(A) 30%

(B) 25%

(C) 15%

(D) 20%

27. Shyam borrowed some money from his friend at a simple interest of 6% per annum. He returned his friend Rs.15,600. After how much time did Shyam return the money if he borrowed Rs.12,000?

(A) 5 years

(B) 8 years

(C) 3.5 years

(D) 2.5 years

29. M men agreed to purchase an article for Rs.R. If 4 men drop out, how much more (in Rs.) will each have to contribute to purchase the article at the same price?

(A) 4M/(R2 – 4R)

(B) 4R/(M2 – 4M)

(C) (4M – R)/4R

(D) (M2 – 4R)/MR

36. If the ratio of principal and simple interest at 4% per annum for a specific time is 5 : 2, find the number of years for which the principal was deposited.

(A) 15 years

(B) 10 years

(C) 18 years

(D) 12 years

44. If ³⁄₁₀th of a road is 45 km, what is the length of th of that road?

(A) 68 km

(B) 60 km

(C) 28 km

(D) 66 km

47. Simplify:

(A) 1445

(B) 2012

(C) 567

(D) 878

49. A began a business with Rs.2,250 and was joined afterwards by B with Rs.2,700. If the profits at the end of the year were divided in the ratio 2:1, after how much time B joined the business?

(A) 7 months

(B) 6 months

(C) 3 months

(D) 5 months

57. The ratio of market prices of wheat and paddy is 2 : 3 and the ratio of quantities consumed in the family is 5:4. Find the ratio of expenditure on wheat and paddy.

(A) 1:1

(B) 6:5

(C) 8:15

(D) 5:6

59. Father is three times as old as his son. After twelve years, his age will be twice as that of the age of his son. What is the present age of the son?

(A) 36 years

(B) 10 years

(C) 14 years

(D) 12 years

61. Find the fourth proportional of the following numbers:

⅓, , , ?

(A)

(B) ¹⁄₁₈

(C) ¹⁄₂₇

(D) ⅓

63. A and B can do a piece of work in 10 and 15 days respectively. A alone did the work for 4 days and then B did it for 5 days. Thereafter C did the remaining work in 8 days. How long will they take to complete the work together?

(A) 8 days

(B) 5 days

(C) 3 days

(D) 7 days

67. A garrison of 500 men had provisions for 24 days. However, a reinforcement of 300 men arrived. The food will now last for

(A) 17(½) days

(B) 15 days

(C) 18 days

(D) 16 days

70. The average of three numbers is 80. The first number is 10 more than twice the second and the second number is 10 less than thrice the third. What is the lowest number?

(A) 28

(B) 68

(C) 66

(D) 26

72. The length of a hall is 5m more than its breadth. If the area of the floor of the hall is 84m2 what are the length and breadth of the hall?

(A) 13m and 8m

(B) 11m and 6m

(C) 14m and 6m

(D) 12m and 7m

73. If a seller sold two sarees at Rs. 400 each and made a profit of 20% on the first and a loss of 20% on the second, what is his total profit or loss on the whole?

(A) 4% profit

(B) No profit no loss

(C) 1% profit

(D) 4% loss

77. A mixture of dettol and water contains 80% of water. What volume of dettol is to be added to 60 litres of this mixture, so that the new mixture contains 75% of water?

(A) 8 litres

(B) 4 litres

(C) 10 litres

(D) 6 litres

84. A man standing on the platform finds that an Express train passes him in 15 secs. If the speed of the train is 60 km/hr, what is the length of the train?

(A) 150 metres

(B) 250 metres

(C) 300 metres

(D) 200 metres

92. At what rate of compound interest per annum, the amount of Rs.10,000 for 2 years is Rs.12,100?

(A) 5%

(B) 10%

(C) 11%

(D) 20%

97. HCF of two numbers is 32 and their LCM is 1760. What is the smaller number?

(A) 152

(B) 160

(C) 102

(D) 110

100. If a person sells an article at a profit of 5%, he gains Rs.15 more than if he sells it at a loss of 5%. What is the cost price of the article?

(A) Rs.120

(B) Rs.150

(C) Rs.125

(D) Rs.105

## WB Police SI Question Paper – 2019

16. Father is four times the age of his daughter. If after 5 years, he would be three times of daughter’s age, then further after 5 years, how many times he would be of his daughter’s age?

(A) 2 times

(B) 3 times

(C) 1.5 times

(D) 2.5 times

17. A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is

(A) 24

(B) 81

(C) 18

(D) 32

18. Find the value of 0.002 × 0.5 =?

(A) 0.001

(B) 0.1

(C) 0.0001

(D) 0.01

19. The respective ratio between 52% of X and 30% of Y is 12:5. If X is 50 more than y, what is the value of ‘2X + Y’?

(A) 260

(B) 490

(C) 230

(D) 390

20. Amit is 6 yrs. Older than his wife Soma. The present age of their son, Bunny is ⅓rd of Soma’s present age. If the sum of present age of Amit and Bunny is 54 yrs., what was Soma’s age when Bunny was born?

(A) 28

(B) 36

(C) 24

(D) 32

21. The sum of three number is 136. If the ratios between first and second be 2 : 3 and that between second and third is 5 : 3, then the second number is

(A) 48

(B) 60

(C) 40

(D) 52

22. 15 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take, if 3 women do as much work as 2 men?

(A) 20

(B) 30

(C) 18

(D) 25

23. How many seconds a train 100 metres in length running at the rate of 36 km/hr will take to pass a certain telegraph post?

(A) 12 seconds

(B) 18 seconds

(C) 10 seconds

(D) 15 seconds

24. ‘A’ can complete a piece of work in 12 days. ‘A’ and ‘B’ together can complete the same piece of work in 8 days. How many days can ‘B’ alone complete the same piece of work?

(A) 18 days

(B) 28 days

(C) 15 days

(D) 24 days

25. The sum of two digits of two digit number is 12 and the difference between the two digits of the two digit number is 6. What is the two digit number?

(A) 75

(B) 93

(C) 60

(D) 84

26. Five bells begin to toll together at intervals of 9 seconds, 6 seconds, 4 seconds, 10 seconds and 8 seconds respectively. Starting together, how many times will the bells toll together in a span of 1 hour?

(A) 8

(B) 12

(C) 5

(D) 10

27. Sachin Tendulkar has a certain average for 11 innings. In the 12th innings he scores 120 runs and there by increases his average by 5 runs, his new average is

(A) 62

(B) 66

(C) 60

(D) 65

28. The wheel of a motor car makes 1000 revolutions in moving 440m. The diameter (in meter) of the wheel is

(A) 0.34

(B) 0.14

(C) 0.44

(D) 0.24

57. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?

(A) 10

(B) 16

(C) 9

(D) 15

58. The difference between the areas of a rectangle and square is 35 cm2. If the rectangle’s length and breadth are 50% more and 10% less respectively than the side of the square, what is the area of the rectangle? (in cm2 )

(A) 105

(B) 145

(C) 100

(D) 135

59. A man goes uphill at an average speed of 24 kmph and comes down at an average speed of 30 kmph, the distance travelled in both the cases being the same. The average speed for the entire journey is

(A) 30 kmph

(B) 30.8 kmph

(C) 26.6 kmph

(D) 32.6 kmph

60. The average weight of a group of 75 girls was calculated as 47 kg. It was later discovered that the weight of one of the girls was read as 45 kg, whereas her actual was 25 kg. What is the actual average weight of the group of 75 girls ? (rounded off to two digits after decimal)

(A) 46.73 kg.

(B) 45.96 kg.

(C) 47.26 kg.

(D) 46.64 kg.

61. In a relief camp of 550 men, food was enough for 28 days. If 150 more people joined the camp, the same amount of food will be enough for

(A) 25 days

(B) 10 days

(C) 35 days

(D) 22 days

81. In an election between two candidates, 75% of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid vote. Find the total number of voters.

(A) 15800

(B) 16800

(C) 15700

(D) 16700

82. A sum of money doubles itself it 4 years at a simple interest. In how many years will it amount to 8 times of itself?

(A) 12 years

(B) 28 years

(C) 8 years

(D) 24 years

83. A man purchased 35 kg of rice at the rate of Rs.9.50 per kg and 30 kg at the rate of Rs.10.50 per kg. He mixed the two. Approximately, at what price (in Rs.) per kg should he sell the mixture to make 35% profit in the transaction ?

(A) 12.50

(B) 13.50

(C) 12

(D) 13

84. The ratio of the length and the breadth of a rectangular plot is 6 : 5 respectively, if the breadth of the plot is 34 meters less than the length, what is the perimeter of the rectangular plot?

(A) 408 meters

(B) 814 meters

(C) 374 meters

(D) 748 meters

85. In an examination it is required to get 40% of the aggregate marks to pass. A student gets 265 marks and is declared failed by 55 marks. What is the total marks in the said examination?

(A) 750

(B) 550

(C) 800

(D) 650

86. If the new numerator of a fraction is increased by 200% and the denominator of the fraction is increased by 50%, the resultant fraction is ⁹⁄₃₅. What is the original fraction?

(A) ³⁄₁₄

(B) ²⁄₁₅

(C) ³⁄₁₆

(D) ³⁄₁₀

## WB Police SI Question Paper – 2018

3. The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).

(A) 20, 35, 45

(B) 16, 28, 36

(C) 8, 20, 28

(D) 8, 14, 18

4. ‘A’ can do a work in 10 days, ‘B’ in 12 days and ‘C’ in 15 days. They started doing work together but after 2 days of starting of work, ‘A’ left and 4 days before completion, ‘C’ left the work. In how many days work was finished?

(A) ⁶⁵⁄ days

(B) ⁶⁷⁄ days

(C) ⁶⁴⁄ days

(D) ⁶⁶⁄ days

6. How much time will take by a 100 metre long train, moving at a speed of 30 km/hr, to pass a man standing at a station?

(A) 14 sec.

(B) 12 sec.

(C) 10 sec.

(D) 16 sec.

7. A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

(A) 4 hrs.

(B) 3 hrs. 45 mins.

(C) 3 hrs. 15 mins.

(D) 4 hrs. 15 mins.

14. 2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can finish it in 8 days. Number of days taken by 2 men and 1 boy to finish it will be :-

(A) 12(½) days

(B) 13 days

(C) 13(½) days

(D) 14 days

15. The HCF and LCM of two different numbers both greater than 13, are 13 and 273 respectively. Then the sum of the numbers is :-

(A) 290

(B) 288

(C) 286

(D) 130

20. Tea worth Rs.126 per kg and Rs.135 per kg are mixed with a third variety in the ratio 1:1:2. If the mixture is worth Rs.153 per kg, the price of the third variety per kg was :-

(A) Rs.175.50

(B) Rs.170

(C) Rs.169.50

(D) Rs.180

21. In an examination 17% of the candidates failed in Bengali and 18% in English. If 5% failed in both Bengali and English, the percentage of those who passed in both the subjects is :-

(A) 30%

(B) 40%

(C) 60%

(D) 70%

28. On dividing 43628 by a certain number the quotient and the remainder are 76 and 536 respectively. Find the divisor.

(A) 536

(B) 567

(C) 765

(D) 576

29. Find the length of the bridge, which a train 130 metre long and travelling at 45 km/hr can cross in 30 seconds.

(A) 245 metre

(B) 225 metre

(C) 200 metre

(D) 250 metre

35. A sum of money triples itself, the rate of simple interest being 5% per annum. What si the time period?

(A) 40 years

(B) 30 years

(C) 20 years

(D) 60 years

36. The ratio of the number of boys and girls in a school is 3 : 2. If 20% of the boys and 30% of the girls are scholarship holders, then what is the percentage of students who do not get scholarship?

(A) 75%

(B) 72%

(C) 50%

(D) 76%

38. The sum of two numbers is 25 and their difference is 13. Find their product.

(A) 315

(B) 114

(C) 104

(D) 325

49. In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?

(A) 6.75

(B) 6.5

(C) 6.25

(D) 7

51. The average of three numbers is 77. The first number is twice of the second one and second number is twice of the third number. Find the three numbers.

(A) 44, 22, 11

(B) 88, 44, 22

(C) 40, 20, 10

(D) 132, 66, 33

54. The cost price of a sewing machine is Rs.800. The shopkeeper allows successive discounts on 15% and 10%. What is the selling price of the sewing machine?

(A) Rs.720

(B) Rs.680

(C) Rs.600

(D) Rs.612

57. A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?

(A) 8 : 3

(B) 3 : 2

(C) 3 : 1

(D) cannot be determined

62. A number is doubled and 9 is added. If resultant is trebled it becomes 75. What is that number?

(A) 12

(B) 10

(C) 8

(D) 14

64. 65 litres water-contaminated milk was in a barrel where ratio between milk and water was 10:3. In that solution how much litre of water is to be mixed to get the ratio between milk and water as 8:5?

(A) 16(¼) litres

(B) ¼ litres

(C) 16 litres

(D) 17 litres

66. The sum of two digit number and the number obtained by reversing the order of its digit is 121 and the difference of the digits is 3. the number is :-

(A) 85

(B) 63

(C) 74

(D) 96

76. Simplify

(A) 7

(B) 6

(C) 5

(D) 8

80. What will be the LCM of 8, 24, 36 and 54?

(A) 216

(B) 108

(C) 54

(D) 432

91. A grocer has a sale of Rs.6,435, Rs.6,927, Rs.6,855, Rs.7,230 and Rs.6,562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs.6,500?

(A) Rs.6,001

(B) Rs.5,991

(C) Rs.4,991

(D) Rs.6,991

92. Rs.700 is divided among Ram, Shyam and Jadu so that ram receives half as much as Shyam and Shyam half as much as Jadu. What will be Jadu’s share?

(A) Rs.400

(B) Rs.300

(C) Rs.200

(D) Rs.500

95. The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is :-

(A) 46%

(B) 42%

(C) 40%

(D) 44%

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