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    Question

    Find the remainder when (2100 +

    3100) is divided by 5.
    A 9 Correct Answer Incorrect Answer
    B 2 Correct Answer Incorrect Answer
    C 7 Correct Answer Incorrect Answer

    Solution

    ATQ, Modulo 5 cycles are of length 4. 24 ≑ 1 (mod 5) β‡’ 2100 = (24)25 ≑ 125 ≑ 1 34 ≑ 1 (mod 5) β‡’ 3100 = (34)25 ≑ 1 Sum ≑ 1+1 = 2 (mod 5)

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