If the sum of two numbers is 45 and the H.C.F and L.C.M of these numbers are 3 and 100 respectively, then the sum of the reciprocal of the numbers is equal to:	Choices:
A) 103 / 300	B) 103 / 200	C) 112 / 300	D) 154 / 140	E) 100 / 300

Rationale: let the numbers be a and b . then , a + b = 45 and ab = 3 * 100 = 300 . required sum = 1 / a + 1 / b = ( a + b ) / ab = 103 / 300 answer : a
Answer: A