Question

When a number is divided by 125,the remainder is 82. When the same number is divided by 25, the remainder will be_______

Answer 1

Given : A number when divided by 125 leaves 82 as remainder.

⇒ The given number is of the form 125x + 82 , where x is quotient

⇒125x + 82 = 25(5x) + 75 + 7

= 25(5x) + 25 × 3 + 7

= 25 (5x + 3) + 7

Hence, when the same number is divided by 25, the remainder will be 7.