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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:

55⁄601
601⁄55
11⁄120
120⁄11

Correct Answer: 11⁄120

Explanation:

Let the numbers be a and b

Then, a + b = 55 and ab = 5 x 120 = 600.

∴ The required sum =	1	+	1	=	a + b	=	55	=	11
	a		b		ab		600		120

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