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:  Pick:  A) 55 / 601  B) 601 / 55  C) 11 / 120  D) 120 / 11  E) 120 / 13

Rationale: "given a + b = 55 , hcm and lcm is 5 and 120 axb = lcmx hcf 600 = 120 x 5 1 / a + 1 / b = a + b / ab = > 55 / 600 = > 11 / 120 answer : c"
Answer: C