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    Question

    A number when divided by 221 gives a remainder 30. What

    will be the remainder when this number is divided by 17?
    A 16 Correct Answer Incorrect Answer
    B 11 Correct Answer Incorrect Answer
    C 13 Correct Answer Incorrect Answer
    D 17 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let, the number be ‘N’.

    ATQ,

    N = 221 × k + 30 = 17 × 13 × k + 17 + 13 = 17 × (13 × k + 1) + 13

    Since, 17 × (13 × k + 1) is completely divisible by 17

    So, if the number is divided by 17, the remainder will be 13.

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