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Railways PYQCBT 1 2016

RRB NTPC · Question 31

The HCF of two numbers is 16 and their difference is 16. Find the numbers. A. 64, 80 B. 72, 88 C. 80, 100 D. 96, 120

  1. D

  2. C

  3. B

  4. A

Show answer & explanation

Answer: (D) A

Explanation

The numbers are 16a and 16b with a and b co-prime and differing by 1. Of the options only 64 and 80 (16 × 4 and 16 × 5) have HCF 16 and difference 16.