Question

The sum of two numbers is 528 and their H.C.F. is 33. The number of pairs of numbers satisfying the above condition is:

• A. 16
• B. 4
• C. 8
• D. 15

Answer 1

The correct option is B 4

Since, HCF is 33, according to question, 33x + 33y = 528 => x + y = 16

‘x’ and ‘y’ must be co-prime to each other as the H.C.F. of the numbers is 33.

So the no. of such pairs for ‘x’ and ‘y’ is 4 – (1,15), (3,13), (5,11), (7,9). The number of pairs won’t be 8 as they would reveal the same set of numbers.