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Question

A number when divided by 7 gives remainder 3. Find remainder when its square is divided by 7.

Answer: n=7k+3 ⇒ n²=49k²+42k+9=7(...)+2. Remainder 2.

Question

A number when divided by 7 gives remainder 3. Find remainder when its square is divided by 7.

Answer: n=7k+3 ⇒ n²=49k²+42k+9=7(...)+2. Remainder 2.