Question

A number when divided by 627 leaves a remainder 43. By dividing the same number by 19, the remainder will be? ​

Answer 1

Answer: 5

The number can be written as 627m+43

When divided by19,

(627m+43)/19 = {(19x33m)+(19x2+5)}

={19x(33m+2) + 5}/19

=(33m+2) + 5/19

So the remainder will be 5