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Remainder of an expression in n given the remainder of n

This type of question, asked 2 times: 19 Jul 2023 S4, 18 Sep 2024 S1. All 2 questions below, oldest first.

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  1. Question 1

    19 Jul 2023 S4

    68
    When m is divided by 7, the remainder is 5. When 3m is divided by 7, the remainder is:

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  2. Question 2

    18 Sep 2024 S1

    59
    A number r when divided by 8 leaves remainder 3. What will be the remainder when (r2+6r+7)(r^2+6r+7) is divided by 8?

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