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If the sum of two numbers is 55 and the H.C.F and L.C.M of these numbers are 5 and 120 respectively, then the sum of the reciprocal of the numbers is equal to___________?

Correct answer: C. 11/120

  • A. 55/601
  • B. 601/55
  • C. 11/120
  • D. 120/11

Explanation

The product of two numbers equals their HCF x LCM = 5 x 120 = 600. Therefore the sum of their reciprocals is (sum of numbers) ÷ (product) = 55/600 = 11/120. The likely mistake is choosing 55/601 by adding 1 to the product or treating the reciprocal sum as a reciprocal of the sum.

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