# Miscellaneous – Math – Paper VI – WBCS Main Question Paper

Contents

wbcs main math question paper 2018

## WBCS Main Question Paper – 2019

98. P’s age is 3/4 of Q’s and R’s age is 11/2 of Q’s age. If the age of R is 30 years, find the age of P.

(A) 10 years

(B) 12 years

(C) 15 years

(D) 18 years

## WBCS Main Question Paper – 2018

5. If x3 + 6x2 + 4x + K is divisible by (x + 2), then the value of K is

(A) – 6

(B) – 7

(C) – 8

(D) – 10

12. Two equations 3x + 6y = 15 and 6x + 12y = 30 have

(A) only one solution

(B) infinite number of solution

(C) no solution

(D) None of the above

17. If we subtract √5 from √125, the value is

(A) √80

(B) √120

(C) √100

(D) None of the above

27. The sum of digits of a two-digit number is 12. When the digits are interchanged, the resulting number is 36 more than original number. What is the original two-digit number ?

(A) 93

(B) 48

(C) 39

(D) 84

29. 1 nanosecond is equal to

(A) 10-6 second

(B) 10-9 second

(C) 10 / 10 second

(D) 10-3 second

34. 0.04 x X = 0.000016, X = ?

(A) 0.0004

(B) 0.04

(C) 4

(D) None of the above

46. When the numerator of a fraction increases by 4, the fraction increases by 2/3 . The denominator of the fraction is

(A) 2

(B) 3

(C) 4

(D) 6

83. Each of the five persons A, B, C, D & E possesses unequal number (<10) of similar items. A, B and C possess 21 items in all, while C, D and E possess 7 items in all. How many items do A and B possess in all ?

(A) 15

(B) 17

(C) 18

(D) Insufficient information

86. A girl counted in the following way on the fingers of her left hand:

She started by calling the thumbs 1, the index finger 2, the middle finger 3, the ring finger 4, the little finger 5 and then reversed direction calling the ring finger 6, the middle finger 7 and so on. She counted upto 1770. She ended counting on which finger ?

(A) Thumb

(B) Index finger

(C) Middle finger

(D) Ring finger

88. At the ‘Shoot and Win’ stall in a fair, X fires 5 shots to Y’s 3 but X hits the target only once in three shots while Y hits once in 2 shots. When Y has missed 27 times, X has hit his target ?

(A) 30 times

(B) 60 times

(C) 72 times

(D) 90 times

97. What value of m for which two roots of the quadratic equation 4×2 + 4(3m – 1)x + (m + 7) = 0 are reciprocal to each other ?

(A) – 7

(B) 7/4

(C) – 3

(D) 1313

100. If x = 2 + √3 the value of x + 1/x is

(A) 2

(B) 2√3

(C) 4

(D) 2–√3