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 17 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let, the number be ‘N’.

    ATQ,

    N = 391 × k + 34 = 17 × 23 × k + 17 + 17 = 17 × (23 × k + 1) + 17

    Since, 17 × (23 × k + 1) is completely divisible by 17

    So, if the number is divided by 17, the remainder will be 17.

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