A number when divided by 136 leaves remainder 36. If the same number is divided by 17, the remainder will be :

A. 2

B. 3

C. 7

D. 9

Answer: Option A

Solution(By Examveda Team)

Let the number be x.
Let x when divided by 136 give q as quotient and 36 as remainder.
Then, x = 136q + 36
= (17 × 8q) + (17 × 2) + 2
= 17 × (8q + 2) + 2
So, the given number when divided by 17 gives 2 as remainder.