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Q: 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 reciprocals of the numbers is equal to ?

  • 1
    13/125
  • 2
    14/57
  • 3
    11/120
  • 4
    16/41
  • Show Answer
  • Workspace

Answer : 3. "11/120"
Explanation :

Answer: C) 11/120 Explanation: Let the numbers be a and b.We know that product of two numbers = Product of their HCF and LCMThen, a + b = 55 and ab = 5 x 120 = 600.=> The required sum = (1/a) + (1/b) = (a+b)/ab=55/600 = 11/120

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