SSC CGL Tier II 25 Oct 2015 Paper 1

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Question : 91 of 100

Marks: +1, -0

The value of

4- {5}/{1+ {1}/{3+ {1}/{2+ {1}/{4}}}}

is

$1/8$
$1/64$
$1/16$
$1/32$

Solution:

(1) Expression

=4- {5}/{1+ {1}/{3+ {1}/{2+ {1}/{4}}}}

=4- {5}/{1+ {1}/{3+ {4}/{9}}}

=4- {5}/{1+ {1}/{{27+ 4 }/{9}}}

=4- {5}/{1+ {9}/{31}}

=4- {5}/{{31+ {9}}/{31}}

=4- {5×31}/{40}

={16-155}/40

=5/40=1/8

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