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:
A
11/120
B
120/11
C
55/601
D
1/10
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Correct Answer 11/120
Explanation
Sum of reciprocals $= (1/x + 1/y) = (x+y) / (xy)$. We know $xy = HCF imes LCM = 5 imes 120 = 600$. So, $55 / 600 = 11 / 120$.