in the no. 34x5y find the value of x and y if the no. is divisible by 36.

For divisibility by 36 = 4 × 9: 34x5y must be divisible by 4 (so 5y divisible by 4, y ∈ {2,6}) AND divisible by 9 (sum 3+4+x+5+y = 12+x+y divisible by 9). Testing options: Only 3462 works - 62 divisible by 4, sum 3+4+6+2=15 (not divisible by 9). Wait, that fails. Let me recalculate: For 34x5y divisible by 36, need divisible by 4 and 9. y must be 2 or 6 for divisibility by 4. Sum 12+x+y must be divisible by 9. Option D (4,2): 34,4252? That doesn't make sense. The number is 34x5y, so x=4, y=2 gives 34452. Sum = 3+4+4+5+2=18 (divisible by 9). 52 is divisible by 4. Correct.