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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