SSC CHSL 15 Nov 2015 Shift 2 Paper

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Question : 131 of 200

Marks: +1, -0

The quotient when

10^100

is divided by

5^75

is :

$10^25$
$2^75$
$2^75×10^25$
$2^25×10^75$

Solution:

10^100

is divided by

5^75

=

(2 ^100 × 5 ^100) ÷ (5^75 )

=

(2 ^100 × 5 ^25×5^75 ) ÷ (5^75 )

=

2 ^100 × 5 ^25

=

2^ 75 × 2 ^25 × 5^ 25

=

2 ^75 × 10^ 25

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