Question

A number when divided by 114 leaves the remainder 21. if the same number is divided by 19, then the remainder will be:

Answer 1

the no. is
114*21= 2,394

the no. is 2,394
therefore when 2,394/19 =126..

the remainder will be 126..

Answer 2

Solution :-

Let x be the remainder and y be the quotient.

Then,

x = 114 × y + 21

= (19*6*y) + (19 × 1) + 2

= 19 × [(6y + 1) + 2]

When we divide the same number by 19, the remainder is 2

Answer.