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Question

A positive integer which is just greater than (1+0.0001)10000 is

A
3
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B
4
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C
5
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D
6
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Solution

The correct option is A 3
(1+104)104

=1+104C1(104)+104C2(108)....

Neglecting higher terms, we get

=1+(104.104)+104(9999)2.108

=1+1+104(9999)2

=2+0.99992

=2+0.4995

Approx. 2.5 <3

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