Problems on HCF and LCM - General Aptitude

Q1:

Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is:

A 75

B 81

C 85

D 89

ANS:C - 85

Since the numbers are co-prime, they contain only 1 as the common factor. Also, the given two products have the middle number in common. So, middle number = H.C.F. of 551 and 1073 = 29;

First number = 551 = 19;    Third number = 1073 = 37.
29 29
 Required sum = (19 + 29 + 37) = 85.