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    Question

    A number when divided by 255 gives remainder 40. Find the

    remainder when the same number is divided by 15.
    A 16 Correct Answer Incorrect Answer
    B 11 Correct Answer Incorrect Answer
    C 25 Correct Answer Incorrect Answer
    D 17 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let, the number be ‘N’.

    ATQ,

    N = 255 × k + 40 = 15 × 17 × k + 15 + 25 = 15 × (17 × k + 1) + 25

    Since, 15 × (17 × k + 1) is completely divisible by 15

    So, if the number is divided by 15, the remainder will be 25.

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