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Yearwise Questions – Arithmetic – Miscellaneous – W.B.C.S. Mains Examination.
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WBCS Main Question Paper – 2019
98. P’s age is 3/4 of Q’s and R’s age is 1 1/2 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 + 6×2 + 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
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