SSC CPO SI and ASI 2016 Paper

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Question : 128 of 200

Marks: +1, -0

If

{a}/{b}= {c}/{d}= {e}/{f}

then each of them is equal to

${3 a-3 c-5 e}/{b-3 d-f}$
${a-3 c-5 e}/{b-d-f}$
${a-c-e}/{a-d-5 f}$
${a+3 c-5 e}/{b+3 d-5 f}$

Solution:

(4) Let

{a}/{b}= {c}/{d}= {e}/{f}=p

then,

a=p b, c=

pd and

e=p f .

Now,
In option (1),

{3 a-3 c-5 e}/{b-3 d-f}=p {3 b-3 d-5 f}/{b-3 d-f}

In option (2),

{a-3 c-5 e}/{b-d-f}=p {b-3 d-5 f}/{b-d-f}

In option

(3),

{a-c-e}/{b-d-5 f}=p {b-d-f}/{b-d-5 f}

In option

(4)

{a+3 c-5 e}/{b+3 d-5 f}=p {b+3 d-5 f}/{b+3 d-5 f}=p

Thus,

{a}/{b}= {c}/{d}= {e}/{f}=p= {a+3 c-5 e}/{b+3 d-5 f}

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