Discussion

A number when divided by 3 leaves a remainder 1. When the quotient is divided by 2, it leaves a remainder 1. What will be the remainder when the number is divided by 6?

Answer: C

Let \(n=3q+1\) and let \(q= 2p+1\). Then, \(n= 3(2p+1)+1= 6p+4\)
Therefore, the number when divided by \(6\), we get remainder\(= 4\)