Question

A number divided by 296 leaves 75 as remainder, if the same number is dived by 37, the remainder obtained is

• A. 2
• B. 1
• C. 11
• D. 8

Answer 1

The correct option is B 1

let the number is x
then according to the question
$y=296q+75$
$=(37\times 8)q+(37\times 2)+1$
$=37(8q+2)+1$Thus, when the number is divided by 37, the remainder is 1