If the sum of two numbers is 55 and the H.C.F and L.C.M of these numbers are 5 a

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Home Aptitude

Question
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
Options
A. 55/601
B. 601/55
C. 11/120
D. 120/11

Correct Answer

11/120

Explanation

Let the numbers be a and b . Then, a+b =55 and ab = 5 x 120 = 600.

Therefore, Required sum = $\frac{1}{a} + \frac{1}{b} = \frac{a + b}{a b} = \frac{55}{600} = \frac{11}{120}$