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    Question

    What is the remainder when 7100 is divided by

    100?
    A 1 Correct Answer Incorrect Answer
    B 7 Correct Answer Incorrect Answer
    C 25 Correct Answer Incorrect Answer
    D 49 Correct Answer Incorrect Answer

    Solution

    ATQ, We work modulo 100. First, note 72 = 49. Then 74 = 492 = 2401 тЙб 1 (mod 100). So 74 тЙб 1 (mod 100). => 7100 = (74)(25) тЙб 125 = 1 (mod 100). Therefore the remainder is 1.

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