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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.
55/601
B.
601/55
C.
11/120
D.
120/11
View Answer
Correct choice: C
Explanation:
Let the numbers be a and b. 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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