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    Find the remainder when 11911^9119​ + 7 is divided by 10.
    Question

    Find the remainder when 11911^9​ + 7 is divided by 10.

    A.

    8

    B.

    7

    C.

    1

    D.

    9

    Correct option is A

    Given:
    Find the remainder when 119+711^9 + 7​ is divided by 10.
    Solution: 

    119+710\frac{ 11^9 + 7 }{10} 

    11910+710\frac{11^9} {10} + \frac{7}{10} 

    (10+1)210+710\frac{(10+ 1)^2} {10} +\frac{7}{10} 

    = 1 + 7 = 8 
    Remainder of given expression = 8 

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