Question
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: Option C
 - Let n = 3q + 1 and let q = 2p + 1. Then, n = 3 (2p + 1) + 1 = 6p + 4
The number when divided by 6, we get remainder = 4
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 - Let n = 3q + 1 and let q = 2p + 1. Then, n = 3 (2p + 1) + 1 = 6p + 4
The number when divided by 6, we get remainder = 4
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