Question

    Which of the following numbers will completely divide 412 + 413+ 414 + 415 + 416?

    A 11 Correct Answer Incorrect Answer
    B 3 Correct Answer Incorrect Answer
    C 7 Correct Answer Incorrect Answer
    D 17 Correct Answer Incorrect Answer

    Solution

    412+ 413+ 414 + 415+416 =412(1+41+42+43+44) =412(1+4+16+64+256) =412(85+256) =412(341) According to the option, 341 is divisible by only 11.so the total number is divided by 11.

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