# Number System & Simplification – Math – WBCS Main Question Paper

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## WBCS Main Question Paper – 2019

19.  If a, b, c and x be the 1st, 2nd, 3rd and the 4th proportions respectively, then the value of x will be one of the following :

(A) ab/c

(B) ac/b

(C) bc/a

(D) ab/c

20. The number 7

(A) lies between 1 and 2

(B) lies between 2 and 3

(C) lies between 3 and 4

(D) lies between 6 and 7

21. 300 – 45 + 125 – 108 – 20 – 48 =?

(A) 5

(B) 0

(C) 7

(D) 3

92. 33 – 4(7+3) + 112 + 3 = ?

(A) 5

(B) 3

(C) 7

(D) 0

93. What least number must be added to 8275 to make the sum a perfect square ?

(A) 4

(B) 8

(C) 5

(D) 6

94. What least number must subtracted from 732 to make the remainder a perfect square ?

(A) 3

(B) 4

(C) 5

(D) 6

95. By what number must 192 be multiplied, so that the product may be a perfect square ?

(A) 5

(B) 4

(C) 3

(D) 2

96, By what least number must 1260 be divided to make the quotient a perfect square ?

(A) 35

(B) 30

(C) 40

(D) 45

97. The boys of a school can be arranged in 15, 18 or 24 equal rows and also into a solid square. Find the least number of boys in the school.

(A) 3800

(B) 4000

(C) 3600

(D) 1000

## WBCS Main Question Paper – 2018

7. If = X / 2Y = 6 / 7, the value of X – Y / X + Y + 14 / 19 is

(A) 13 / 19

(B) 15 / 19

(C) 1

(D) 1 1 / 19

8. The sum of all two digit numbers divisible by 5 is

(A) 1035

(B) 1245

(C) 1230

(D) 945

9. The number 0 is

(A) whole number but not integer.

(B) integer but not rational.

(C) rational but not real number.

(D) whole number, integer, rational and real number.

10. π and 22 / 7 are

(A) both are rational number.

(B) both are always irrational number.

(C) π is rational and 22 / 7 is irrational.

(D) π is irrational and 22/7 is rational.

11. The value of (0.243)0.2 x (10)0.6 is

(A) 0.3

(B) 3

(C) 0.9

(D) 9

33. What is the smallest number to be subtracted from 549162 in order to make it a perfect square ?

(A) 28

(B) 36

(C) 62

(D) 81

35. If the number 97251*6 is completely divisible by 11, then the smallest whole number in place of * will be

(A) 6

(B) 2

(C) 1

(D) 5

68. Ram was asked to find 7/8 of a fraction but he mistakenly divided the fraction by 7/8. As a result the difference between the answers was 75/784 . What should be the Ram’s correct answer ?

(A) 13/32

(B) 9/14

(C) 5/16

(D) 5/14

71. 324 + 1296 equal to

(A) 52

(B) 44

(C) 54

(D) 42

72. The square of a number is 48 more than 22 times of itself. Find the number.

(A) 25

(B) 22

(C) 24

(D) 28

73. What will come in place of question mark ?

12, 18, 36, 90, 270, ?

(A) 945

(B) 960

(C) 845

(D) None of the above

76. If the product of two successive positive integers is 7482. which is the greatest integer ?

(A) 87

(B) 82

(C) 84

(D) 89

77. 35% of 200 + x = 48% of 550 – 10% of 150. Then x equal to

(A) 600

(B) 21

(C) (179)2

(D) 35721

79. 123456789 x 8 + 9 is equal to

(A) 98765431

(B) 89765431

(C) 987654321

(D) None of the above

80. If C = temperature in centigrade thermometer F = temperature in Fahrenheit thermometer and they are related by C/5 = (F32) / 9, then find the temperature whose value is same in both thermometer.

(A) – 42

(B) – 40

(C) 40

(D) 42

81. If 1.00029 = L( 1 + 2.9 × 10-5 × 10 ), the value of L is

(A) 0.001

(B) 1

(C) 0.1 x 102

(D) 10-2

90. If  -7 x 7 and 0 y 12, what is the greatest possible value of (y – x) ?

(A) -19

(B) 5

(C) 17

(D) 19

92. 11111 x 11111 is equal to

(A) 111111111

(B) 123454321

(C) 54321321

(D) 14325321

30. The product of two numbers is 1320 and their H.C.F. is 6. The L.C.M. of number is

(A) 220

(B) 1314

(C) 1326

(D) 7920

61. 102 + 1/100 + 0.0001 equals to

(A) 1.000101

(B) 10.00101

(C) 100.0101

(D) None of the above

62. If S = ut + 1/2 at2  and u = 50, a = 9.8, t = 2 the value of S is

(A) 119.6

(B) 109.8

(C) 69.6

(D) 139.2

74. 4 + 0.4 + 0.04 + 0.004 – 0.23 = ?

(A) 4.226

(B) 4.224

(C) 4.414

(D) 4.214

89. For her parents’ 50th wedding anniversary celebration Malina decides to buy 50 balloons. Her supplier only sells balloons in bunches of 12 for Rs, 250 and 7 for Rs. 175. Malina buys exactly 50 balloons. What is the total price she pays ?

(A) Rs.1042

(B) Rs.1100

(C) Rs.1175

(D) Rs.1225

93. There are five positive observations. Average of the first three observations is 8 and that of the last three observations is 6. If the average of all five observations is 6, what is the third observation ?

(A) 10

(B) 8

(C) 12

(D) 14

48. The value of 0.4¯ is

(A) 0.6¯

(B) 0.7¯

(C) 0.8¯

(D) 0.9¯

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