Question

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

• A. 8
• B. 16
• C. 2
• D. 4

Answer 1

The correct option is A 8

33x + 33y = 528 $\Rightarrow$ 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 ordered pairs for ‘x’ and ‘y’ is 8 - (1,15), (3,13), (5,11), (7,9) and (15,1), (13,3), (11,5), (9,7).