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Railways PYQCBT 1 2020

RRB NTPC · Question 76

The sum of and the difference between the LCM and HCF of two numbers are 369 and 351 respectively. If one number is 72, find the other number.

  1. 45

  2. 90

  3. 85

  4. 75

Show answer & explanation

Answer: (A) 45

Explanation

LCM + HCF = 369 and LCM − HCF = 351, so LCM = 360 and HCF = 9. Other number = 360 × 9/72 = 45.