Question

A number when divided by 114 leaves , the remainder 21. If the same number is divided by 19 , the remainder will be______
Please send the answer with Method

Answer 1

Let n = 114q + 21 
Then 
n = (6*19)q + 21 
= 19*(6q) + 21 
= 19*(6q + 1) + 2 
Hence, the remainder is 2

Answer 2

The no. is 
114*21= 2,394 

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

the remainder will be 126..