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    Question

    A number, when divided by 987, gives a remainder

    59. When the same number is divided by 21, what is the remainder ?
    A 21 Correct Answer Incorrect Answer
    B 19 Correct Answer Incorrect Answer
    C 17 Correct Answer Incorrect Answer
    D 15 Correct Answer Incorrect Answer

    Solution

    Let number = x x = 987k + 59 (where k is any integer) `=>x=47xx21xx+2+17` `=>x=21(47k+2)+17` Required remainder = 17

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