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    Question

    A number gives a remainder 34 when divided by 391. What

    remainder will it leave when divided by 17?
    A 16 Correct Answer Incorrect Answer
    B 11 Correct Answer Incorrect Answer
    C 27 Correct Answer Incorrect Answer
    D None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    N ≡ 34 (mod391) 391 ≡ 0 (mod17) N ≡ 34 (mod17) = 34 ÷ 17 = 2 ⇒ 34 ≡ 0 (mod17)

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