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Question

If x=4(5+1)(45+1)(85+1)(165+1). Then the value of (1+x)48 is

A
5
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B
25
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C
125
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D
625
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Solution

The correct option is C 125
x=4(5+1)(45+1)(85+1)(165+1)

x=4(1651)(5+1)(45+1)(85+1)(165+1)(1651)

=4(1651)(5+1)(45+1)(85+1)(851)

=4(1651)(5+1)(45+1)(451)

x=4(1651)(5+1)(51)

=4(1651)51

=4(1651)4

x+1=1651+1=165
So, (1+x)48
=(165)48=(5)48/16=53=125
Hence, the answer is 125.


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