UPSC 2014 CDS II Math Paper

The number 763X4Y2 is divisible by 9 if is divisible by 9.
So, X+Y=5 or X+Y=14
So, the possible pair of X and Y are (0,5),(1,4),(2,3),(3,2),(4,1),(5,0),(5,9),(6,8),(7,7),(8,6) and (9,5).