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Railways PYQCBT 1 2020

RRB NTPC · Question 54

The sum of two numbers is 60 and their HCF and LCM are 12 and 72 respectively. The sum of the reciprocal of the two numbers is:

  1. \(\frac{5}{12}\)

  2. \(\frac{1}{5}\)

  3. \(\frac{5}{72}\)

  4. \(\frac{5}{6}\)

Show answer & explanation

Answer: (C) \(\frac{5}{72}\)

Explanation

Product of the numbers = HCF × LCM = 12 × 72 = 864. Sum of reciprocals = (a + b)/ab = 60/864 = 5/72.