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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 ?
A.
13/125
B.
14/57
C.
11/120
D.
16/41
View Answer
Correct choice: C
Explanation:
Let the numbers be a and b. We know that product of two numbers = Product of their HCF and LCM Then, 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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