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    Question

    Find remainder when

    7103 is divided by 240.
    A 55 Correct Answer Incorrect Answer
    B 45 Correct Answer Incorrect Answer
    C 75 Correct Answer Incorrect Answer
    D None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    ╧Ж(240)=64 тЖТ 7тБ╢тБ┤ тЙб 1 mod 240 103 = 64+39 тЖТ remainder = 7┬│тБ╣ mod 240 Cycle of 7 mod 16 = 7, 1 тЖТ mod16=7 mod15: 7тБ┤ тЙб 1 тЖТ so mod15=7┬│ тЙб13 Combine via CRT тЖТ remainder 103.

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