A number when divided by 296 leaves 75 as remainder. When the same number is divided by 37, the remainder will be:

Question: A number when divided by 296 leaves 75 as remainder. When the same number is divided by 37, the remainder will be:
[A].

1

[B].

2

[C].

8

[D].

11

Answer: Option A

Explanation:

Let x = 296q + 75

   = (37 x 8q + 37 x 2) + 1

   = 37 (8q + 2) + 1

Thus, when the number is divided by 37, the remainder is 1.