If \frac{a}{b}= \frac{c}{d}= \frac{e}{f}, then each of them is equal to

Correct Answer is : a+3c−5eb+3d−5f

RRB RPF RPSF SI and CONS Model Papers 5 with solutions

Question : 71 of 119

Marks: +1, -0

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

, then each of them is equal to

Solution:

Let

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

then
a = pb, c = pd and e = pf. 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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