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 1

The correct option is A $1$

Let $x=296q+75$
$=(37\times 8q+37\times 2)+1$
$=37(8q+2)+1$
Thus, when the number is divided by $37$, the remainder is $1$.