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

[A]1

[B]2

[C]8

[D]11

**1**

Let number be x.

∴ x = 296 Q + 75 where Q is the quotient and can have the value 1, 2, 3 etc.

= 37 8 Q + 37 2 + 1

= 37 (8Q + 2) + 1

Thus we see that the remainder is 1.

Hence option [A] is right answer.