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# 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?

• A.2
• B.3
• C.4
• D.5

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$$= 4$$