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Railways PYQCBT 1 2016

RRB NTPC · Question 67

If P is the largest number that divides 60, 150 and 285, then there is the same remainder in each case, then P is the sum of digits. A. 7 B. 5 C. 4 D. 9

  1. D

  2. B

  3. C

  4. A

Show answer & explanation

Answer: (A) D

Explanation

The number leaving equal remainders divides the differences: 150 − 60 = 90, 285 − 150 = 135 and 285 − 60 = 225. HCF(90, 135, 225) = 45, whose digits add up to 9.