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    8x2100 + 4x2101 = ?

    a. 2101
    b. 2102
    c. 2103
    d. 2104

    Sol: 8 x 2100 + 4 x 2101        

    We can write 8 = 23  &  4 = 22

    Now, 8 x 2100 + 4 x 2101    =   2x 2100 + 22 x 2101
                                                =  2103 +  2103
                                                =  2103 (1+1)
                                                =  2103x 2
                                                =  2104

    Hence option D is the correct answer.


     

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