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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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