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    Question

    is divisible by

    A.

    256

    B.

    254

    C.

    255

    D.

    259

    Correct option is D

    Given:

    Expression: 625+626+627+6286^{25} + 6^{26} + 6^{27} + 6^{28}​​
    Concept Used:
    Factoring the given expression as a multiple of 6256^{25}​​

    Solution:
    Now, we calculate625(1+6+62+63) {6}^{25}(1 + 6 + 6^2 + 6^3)​​

    6256^{25}​(1 + 6 + 36 + 216 = 259)
    625×2596^{25} \times 259​​

    so, it is divisible by 259.

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