## 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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