SSC CGL 17 Aug 2017 Shift 2 Paper

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Question : 61 of 100

Marks: +1, -0

If

[7({5 x} / 3-3 / 2)] / 2+3 / 2=1 / 4

then what is the value of

x ?

$35 / 24$
$24 / 35$
$-24 / 35$
$-35 / 24$

Solution:

[7({5 x} / 3-3 / 2)] / 2+3 / 2=1 / 4

⇒

{ ({35 x}/{3}- {21}/{2} )}/{2}=\ {1}/{4}- {3}/{2}

⇒

\ {70 x-63}/{2 ×6}= {1-6}/{4}

⇒

\ {70 x-63}/{2 ×6}= {-5}/{4}

⇒

70 x-63=-15

⇒

70 x=-15+63=48

∴

x= {48}/{70}= {24}/{35}

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