SSC CGL Tier II 25 Oct 2015 Paper 1

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Question : 72 of 100

Marks: +1, -0

a+1/b=b+1/c=c+1/a,

where

a ≠b ≠ c ≠ 0

, then the value of

a ^2 b ^2 c ^2

is

–1
abc
0
1

Solution:

(1)

a+1/b=b+1/c=c+1/a

⇒{a b c+c}/{b c}= {a b c+a}/{a c}

= {a b c+b}/{a b}

⇒{c}/{b c}= {a}/{a c}= {b}/{a b}

⇒{1}/{b}= {1}/{c}= {1}/{a}

⇒ a=b=c=1

∴ a^{2} b^{2} c^{2}=1

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