Q and F represent two distinct digits. If the number 457Q89F is divisible by 36, what is the value of (Q+F)?
Choices:
A) 9	B) 3	C) 12	D) 6	E) 10

Rationale: a no . divisible by 36 means it is div by 49 . to be div by 4 last 2 digits to be multiple of 4 so , f could be either 2 or 6 only similarly for a number to be div by 9 its sum must be multiple of 9 first . filtering we find q could be either 1 , 47 only . to be divisible by 9 only 1 works . ( if we choose f = 6 then q have to be 6 but as per condition qf are distinct ) so q = 1 f = 2 ans : - 3 . b
Answer: B