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    Question

    Find remainder when 7¹³ is divided by

    100.
    A 11 Correct Answer Incorrect Answer
    B 13 Correct Answer Incorrect Answer
    C 7 Correct Answer Incorrect Answer
    D 17 Correct Answer Incorrect Answer

    Solution

    Cycle of 7 mod 100: 7¹ = 07 7² = 49 7³ = 43 7⁓ = 01 Cycle length = 4 13 mod 4 = 1 So remainder = 7¹ = 7

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