# WEBCSC Quantitative Aptitude and Reasoning Ability Question Papers for West Bengal Co-operative Service Commission Examination

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## WEBCSC Quantitative Aptitude and Reasoning Ability Model Question

1. The smallest number that should be added to 4456 so that the sum is completely divisible by 6 is

a) 4

b) 3

c) 2

d) 1

2. Three numbers are in the ratio of 3:4:5 and their LCM is 2400. Their HCF is

a) 40

b) 80

c) 120

d) 200

3. The average of 11 results is 60. The average of first six results is 58 and that of the last six is 63. The sixth result is

a) 66

b) 64

c) 62

d) 60

4. Sum of two integers is 36 and their product is 128. The sum of their reciprocals is

a) \frac {32}{9}

b) \frac {9}{32}

c) \frac {3}{16}

d) \frac {16}{3}

5. The ages of two persons differ by 16 years. If 6 years ago, the elder one were 3 times as old as the younger one, the age of younger one at present is

a) 10 years

b) 12 years

c) 14 years

d) 18 years

6. The present population of a town is 176400. If it increases at the rate of 5% per annum, what was the population 2 years ago?

a) 170000

b) 165000

c) 120000

d) 160000

7. The percentage above the cost price must an article be marked so as to gain 33% after allowing a discount of 5% is

a) 20%

b) 25%

c) 30%

d) 40%

8. The ratio between the numbers is 3:4 and their LCM is 180. The smallest number is

a) 15

b) 45

c) 60

d) 20

9. P and Q started a business investing 85000 and 15000 respectively. The ratio at which the profit earned after 2 years be divided between P and Q is

a) 3:4

b) 5:17

c) 17:3

d) 5:3

10. A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last is

a) 29\frac {1}{5}

b) 37%

c) 54

d) 42

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11. 20 men can complete \frac {1}{3}rd of a piece of work in 20 days. The number of more men that should be employed to finish the rest of the work in 25 days is

a) 10

b) 12

c) 15

d) 20

12. A sum of money is sufficient to pay A’s wages for 21 days or B’s wages for 28 days. The same amount of money is sufficient to pay the wages of both A and B for

a) 12 days

b) 12\frac {1}{4} days

c) 14 days

d) 24\frac {1}{2} days

13. Two pipes can fill a tank in 10 hours and 12 hours respectively while a third pipe empties the full tank in 20 hours. If all the three pipes operate simultaneously, the time required to fill the tank is

a) 7 hours

b) 7\frac {1}{2} hours

c) 6\frac {1}{2} hours

d) 8 hours

14. A dog takes 4 leaps for every 5 leaps of a hare, but 3 leaps of dog are equal to 4 leaps of hare. The ratio of the speed of dog and hare is

a) 15:16

b) 16:15

c) 4:5

d) 5:4

15. A man travels from P to Q a distance of 250 kms. in 5\frac {1}{2} hours. He returns to P in 4 hours 30 minutes. His average speed is

a) 44 kms./hr

b) 46 kms. /hr

c) 48 kms./hr

d) 50 kms. / hr.

16. The wrong number in the series 2, 9, 28, 65, 126, 216, 344 is

a) 2

b) 28

c) 65

d) 216

17. Find the odd man out

1, 5, 14, 30, 50, 55, 91

a) 5

b) 50

c) 55

d) 91

18. The number of prime numbers less than 50 is

a) 16

b) 15

c) 14

d) 18

19. The number which is exactly divisible by 11 is

a) 235641

b) 245642

c) 315624

d) 415624

20. When a number is divided by 6 leaves a remainder 3. When the square of that number is divided by 6, the remainder is

a) 3

b) 2

c) 1

d) 0

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21. The sum of first 45 natural numbers is

a) 1035

b) 1280

c) 2070

d) 2140

22. A number when divided by 296 leaves 75 as remainder. When the same number is divided by 37, the remainder is

a) 11

b) 8

c) 2

d) 1

23. If a*b = \frac {ab}{a+b}, then the value of 3*(3*-1) is

a) –3

b) -1.5

c) -1

d) \frac {2}{3}

24. The average of five numbers is 27. If one number is excluded, the average becomes 25, the excluded number is

a) 27

b) 25

c) 35

d) 30

25. A number consists of two digits. If the digits are interchanged, the new number is added to the original number, the resulting number is always divided by

a) 11

b) 9

c) 5

d) 3

26. When the numerator of a fraction is increased by 4, the fraction is decreased by \frac {2}{3}. The denominator of the fraction is

a) 7

b) 4

c) 6

d) 2

27. A is two years older than B who is twice as old as C. If the total age of A, B and C is 27 years, then the age of B is

a) 7 years

b) 5 years

c) 9 years

d) 10 years

28. 120 is the 20% of a number, then 120% of that number is

a) 360

b) 720

c) 120

d) 20

29. In an examination, 35% of the students passed and 455 failed. The number of students appeared for the examination was

a) 490

b) 700

c) 845

d) 1300

30. A student has to obtain 33% of the total marks to pass. He got 125 marks and failed by 40 marks. The maximum marks were

a) 1000

b) 800

c) 500

d) 300

31. A box contains free size socks 50 pairs black, 60 pairs green and 40 pairs white. By maximum how many draws of single socks one would pick up a pair of socks of same colour, blind folded?

a) 3

b) 6

c) 2

d) 4

32. Multiply 125 and 0.0125 =?

a) 15625

b) 156.25

c) 15.625

d) 1.5625

33. If \frac {3}{7}th of a tank is filled up in 18 minutes, the remaining part of the tank will be filled up in almost:

a) 24 minutes

b) 18 minutes

c) 42 minutes

d) None of these

34. The cube root of 0.000729 is

a) 0.09

b) 0.9

c) 0.027

d) 0.27

35. How \frac {5}{16} is represented in percentage form?

a) 0.3125%

b) 31.25%

c) 3.125%

d) 68.75%

36. The hypotenuse of right-angled triangle is 5 cm. long. The sum of other two sides is 7 cm. The length of the sides in cm. are

a) 2 and 5

b) 6 and 1

c) 3 and 4

d) None of these

37. A long rope has to be cut in 17 small pieces. If it is double folded to start with how many does it need to be cut?

a) 16

b) 8

c) 9

d) 12

38. The number of male students and female students in a class are in a ratio of 3:2. Which of the following numbers can never be the total number in the class?

a) 40

b) 45

c) 42

d) 50

39. How many prime integers are there as factors of 22?

a) 5

b) 2

c) 1

d) 3

40. Adhir starts from the starting point O, goes 400 meters South-East and then 300 meters South West. Badsha starting from O goes 400 meters North-West and then 300 meters South-West. How far is Adhir from Badsha?

a) 600 meters

b) 800 meters

c) 500 meters

d) 1000 meters

41. How is \frac {3}{8} percent expressed as a decimal?

a) 0.375

b) 0.0375

c) 0.00375

d) None of these

42. The average of 16 numbers is 25.75. What is the total sum of these numbers?

a) 412

b) 206

c) 824

d) 512

43. The product of three numbers is 384 and the numbers are in a ratio of 3:2:1. What is the sum of these numbers?

a) 84

b) 24

c) 48

d) 36

44. A woollen shawl was originally priced at 6000 was provisionally discounted at 20%. After 3 months, it was sold at a further discount of 20%. What was total percentage of discount?

a) 60%

b) 45%

c) 40%

d) 36%

45. \frac {5}{7} of 651 =

a) 460

b) 465

c) 564

d) 456

46. Amit is \frac {1}{3}rd of his father’s age now. If 20 years later, Amit becomes half of his father’s age, how old will he be 10 years from now?

a) 40 years

b) 30 years

c) 20 years

d) 50 years

47. Of which number 6000 is 40%?

a) 240000

b) 150000

c) 15000

d) 24000

48. The smallest seven digit number beginning with either 3 or 5 and not ending with zero, being divisible by 5 is

a) 3000005

b) 5000005

c) 3000000

d) 5000000

49. Two trains both moving at a speed of 135 kmph start at the same time in opposite directions to cover 540 kilometers between them. They started at 4.30 p.m. At what time will they cross each other?

a) 5.30p.m.

b) 8.30 p.m.

c) 6.30pm.

d) 7.30 p.m.

50. In a class every student has to take at least one subject from Accountancy and Business Organisation. There were 800 students of which 75% took Accountancy and 10% took both Accountancy and Business Organisation. How many took only Business Organisation?

a) 240

b) 200

c) 160

d) 120

51. At a function of cordiality meeting of 40 delegates each delegate shook hands with every other guest. How many lot handshakes will there be?

a) 1600

b) 780

c) 1521

d) 1560

52. Ina rural institute, students either come by bicycle or by bullock cart or both. If 80% students own a bicycle and 30% students own a bullock cart, what percentage of students own both bicycle and bullock cart?

a) 10%

b) 20%

c) 15%

d) 25%

53. 10 men can complete a civil work in 10 days. How many people are required to complete the work in 25 days?

a) 25

b) 4

c) 20

d) None of these

54. A clock gains 4 minutes every hour the angle traversed by the seconds hand in one minute will be

a) 365°

b) 385°

c) 380°

d) 375°

55. An illiterate servant was asked to put five different letters in five different addressed envelopes. The letters are named a, b, c, d, e and envelopes were named A, B, C, D, E. The letter ‘a’ is meant for envelope A, letter ‘b’ is meant for envelope B and so on. How many ways can he put 3 letters in 3 wrong addresses?

a) 10

b) 20

c) 6

d) 24

56. A boy starts walking from a point towards South. He then turns right at right angle. In what direction is he ultimately walking?

a) North

b) South

c) East

d) West

57. A man goes to his workshop uphill on a bicycle at a speed of 6 kmph and returns from workshop downhill at a speed of 12 kmph. What was the average speed of the entire to and from journey from home to workshop?

a) 15 kmph

b) 10 kmph

c) 8 kmph

d) 9 kmph

58. If a circle is divided diametrically into 16 parts. How many diameters will it have ultimately?

a) 16

b) 8

c) 4

d) None of above

59. Find the missing value : 125, 216, 343, 512, _____

a) 1000

b) 1331

c) 729

d) None of these

60. What would be the missing value 9, 36, 81, ______, 225

a) 324

b) 144

c) 108

d) None of these

61. A number of two digits have 3 at unit place and the sum of digits is \frac {1}{7} of the number itself. The number is

a) 43

b) 63

c) 53

d) 73

62. The correct expression of 6.46 in the fractional form is

a) 646/99

b) 64640 / 1000

c) 640/900

d) 640/99

63. When 0.232323 …………….. is converted into a fraction, then the result is

a) 1/5

b) 2/9

c) 23/99

d) 23/100

64. If x*y = {x}^{2} + {y}^{2} – xy, then the value of 9*11 is

a) 93

b) 103

c) 113

d) 121

65. If a*b = \frac {ab}{a+b}, then the value of 3 * (8*-1) is

a) –3

b) -1.5

c) -1

d) \frac {2}{3}

66. A man is 24 years older than his son. In two years, the age of the man will be twice the age of the son. The present age of the son is (in years)

a) 14

b) 18

c) 20

d) 22

67. The average of five numbers is \frac {2}{7}. If one number is excluded, the average becomes 25, the excluded number is

a) 27

b) 25

c) 35

d) 30

68. A number consists of two digits. If the digits are interchanged, the new number is added to the original number, the resulting number is always divided by

a) 11

b) 9

c) 5

d) 3

69. When the numerator of a fraction is increased by 4, the fraction is decreased by \frac {2}{3}. The denominator of the fraction is

a) 7

b) 4

c) 6

d) 2

70. A is two years older than B who is twice as old as C. If the total age of A, B and C is 27 years, then the age of B is

a) 7 years

b) 5 years

c) 9 years

d) 10 years

71. 120 is the 20% of a number, then 120% of that number is

a) 360

b) 720

c) 120

d) 20

72. In an examination, 35% of the students passed and 455 failed. The number of students appeared for the examination was

a) 490

b) 700

c) 845

d) 1300

73. A student has to obtain 33% of the total marks to pass. He got 125 marks and failed by 40 marks. The maximum marks were

a) 1000

b) 800

c) 500

d) 300

74. In an election, a candidate who gets 84% of the votes is elected by a majority of 476 votes. The total number of votes polled was

a) 700

b) 749

c) 750

d) 848

75. A trader marks his goods 30% above the cost price. If he allows a discount of 674%, then his gain percent is

a) 21\frac {7}{8}%

b) 22%

c) 23\frac {3}{4}%

d) 25%

76. After successive discounts of 12% and 5%, an article was sold for 209. The original price of the article was

a) 269

b) 252

c) 226

d) 250

77. If 2A=3B and 4B =5C, then A: C is

a) 4:3

b) 8:15

c) 15:8

d) 3:4

78. The speeds of three cars are in the ratio of 5:4:6. The ratio of the time taken by them to travel the same distance is

a) 12:15:10

b) 10:12:15

c) 6:4:5

d) 5:4:6

79. In a bag, there are coins of 25p, 10p and 5p in the ratio 1: 2: 3. If there are 30 in all, the number of 25p coins were

a) 150

b) 50

c) 100

d) 90

80. A can do \frac {1}{4}th of a work in 3 days and B can do \frac {1}{6} of the same work in 4 days. If both A and B work together and are paid 180. The amount of money A will get is

a) 36

b) 60

c) 108

d) 120

81. Seven men can complete a work in 12 days. They started together and after 5 days two men left. The number of days required to complete the work by the remaining men is

a) \frac {94}{5} days

b) \frac {54}{9} days

c) \frac {45}{9} days

d) None

82. A train when moves at an average speed of 40 km./hr. reach its destination on time. When its average speed is 35 km./hr., then it reaches its destination 15 minutes late. The length of the journey is

a) 30km.

b) 40 km.

c) 70km.

d) 80km.

83. The ratio in which water must be mixed with milk to gain 16\frac {2}{3}% on selling the mixture at the cost price is

a) 1:6

b) 6:1

c) 2:3

d) 3:2

84. The rate of simple interest at which a sum of money becomes double in 12 years is

a) \frac {81}{4}%

b) \frac {81}{3}%

c) 82%

d) 92%

85. The wrong number of the series 190, 166, 145, 128, 112, 100, 91 is

a) 100

b) 166

c) 145

d) 128

86. If a sum of money at simple interest doubles in 6 years, it will become 4 times in

a) 12 years

b) 14 years

c) 16 years

d) 18 years

87. The digit in the unit place of {(4137)}^{754} is

a) 1

b) 3

c) 7

d) 9

88. On dividing a number by 56, we get 29 as remainder. On dividing the same number by 8, the remainder will be

a) 3

b) 5

c) 7

d) 1

89. The sum and difference of two numbers are 20 and 8 respectively. Then the difference of their squares is

a) 12

b) 28

c) 80

d) 160

90. The difference of the squares of two consecutive even integers is 84. Their sum is

a) 34

b) 38

c) 42

d) 46

91. The wage of a worker was first cut by 30% and then enhanced by 40%. What was his percentage of loss?

a) 10

b) 15

c) 2

d) 12

92. In an examination, 40% of the students fail in English, 30% fail in Mathematics and 15% fail in both. What is the percentage of pass?

a) 15%

b) 55%

c) 85%

d) 45%

93. The arithmetic mean of eight numbers is 15.5. What is the total sum of numbers?

a) 62

b) 124

c) 248

d) 105

94. Express 80% as a vulgar fraction

a) 8.5

b) \frac {4}{5}

c) 16\frac {2}{3}

d) 19%

95. The wage of a daily labour was first increased by 50% and then reduced by 40%. What is the percentage of loss?

a) 15

b) 10

c) 2

d) 12

96. The arithmetic mean of six numbers is 17.5. What is the total sum of numbers?

a) 124

b) 62

c) 85

d) 105

97. A household gadget purchased for 400 and being sold at 560 earns a profit which amounts to percentage profit of

a) 16

b) 60

c) 40

d) 50

98. A certain sum of money being invested in stocks on simple interest, trebled in 20 years, what is the rate of interest?

a) 20

b) 15

c) 10

d) 25

99. 50% of 40 and 40% of 50 adds to

a) 10% of 400

b) 40% of 1000

c) 20% of 2000

d) None of these

100. One nineth of the sum of the prime numbers greater than 3 but less than 15 is the square of

a) 2

b) 5

c) 4

d) 3

101. An amount of Rs 600, earning interest at 10% compounded annually is invested for 5 years. What will be the maturity amount after 5 years?

a) 1610.50

b) 966.30

c) 805.25

d) 644.20

102. The average of five numbers is 46. The total of three numbers is 132. The remaining 3 numbers are in the ratio of 1:2:4. These three numbers are

a) 14, 28, 56

b) 7,14, 28

c) 12, 24, 48

d) 10, 20, 40

103. Two numbers are in the ratio of 4:7 and their sum is 33. The numbers are to be written in increasing order

a) 15, 18

b) 12, 21

c) 21,12

d) 18, 15

104. You have black socks and white socks in a ratio of 9:11 in your wardrobe drawer. How many maximum number of single socks you need to draw out to make sure of a pair of socks of same colour?

a) 9

b) 11

c) 2

d) 3

105. Multiply 0.45 with 0.45

a) 0.02025

b) 0.2025

c) 0.01625

d) 0.001625

106. If \frac {2}{9} of a tank is filled in 18 minutes then rest of the tank will be filled in almost

a) 81 minutes

b) 63 minutes

c) 90 minutes

d) 72 minutes

107. How is % percent expressed as a decimal?

a) 0.0075

b) 0.075

c) 0.00075

d) 0.75

108. Find out the cube root of 0.02

a) 0.009

b) 0.27

c) 0.027

d) 0.09

109. If the average of 18 numbers is 25.5, what is the total sum of these numbers?

a) 459

b) 559

c) 460

d) 255

110. Mukul starts from the starting point 0, goes 300 meters South-East and then 400 meters South-West. Partha starting from 0 goes 300 metres North-West and then 400 meters South-West. How far is Mukul from Partha in metres

a) 800 metres

b) 600 metres

c) 500 metres

d) 1000 metres

111. How many prime numbers are integer factors of 21?

a) 5

b) 1

c) 2

d) 0

112. The number of boys and girls in a class are in a ratio of 4:1. Which of the following numbers cannot be the total number of students in the class?

a) 50

b) 42

c) 40

d) 45

113. A beaker containing 100 ml. of water is weighed and the weight is noted. If 10 gms. of salt is dissolved in the water what will happen to the weight of the solution now?

a) It will first increase and then decrease

b) It will increase

c) It will decrease

d) Nothing will happen

114. A long rope has to be cut to make 33 small pieces. If it is double folded to start with, how many does it need to be cut?

a) 16

b) 32

c) 17

d) 18

115. The hypotenuse of a right-angled triangle is 13 cms. long. The sum of the other two sides is 17 cm. The lengths of two sides in cm. are

a) 10 and 7

b) 12 and 5

c) 8 and 9

d) 6 and 11

116. The product of three numbers is 384 and their ratio is 1: 2 : 3. What is the sum of the squares of three numbers?

a) 372

b) 448

c) 224

d) 450

117. At a farewell party of 70 students, each student shakes hand with every other student. How many lot handshakes will there be?

a) 2415

b) 4200

c) 4900

d) 4830

118. Adhir is half his fathers age now. Fifteen years ago, he was one-third of his father’s age. How old will Adhir be after 10 years?

a) 40

b) 30

c) 45

d) 55

119. A pasmina shawl originally priced as Rs 5000 was provisionally discounted at 20%. After three months, it was sold at a further discount of 20%. What was the sale price?

a) Rs 3000

b) Rs 3200

c) Rs 3600

d) Rs 3060

120. The smallest five digit number beginning with 3 and divisible by 5 is

a) 35000

b) 31000

c) 30000

d) 30005