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If and , what is b in terms of a ?

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GMAT Club Legend
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Joined: 07 Jun 2014
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If and , what is b in terms of a ? [#permalink] New post 15 May 2018, 16:02
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Question Stats:

80% (00:29) correct 20% (01:38) wrong based on 5 sessions
If \(b=\frac{c+d^2}{c}\) and \(a=\frac{c}{d^2}\), what is b in terms of a ?

A. \(1+\frac{1}{a}\)
B. \(1+a\)
C. \(\frac{1}{1+a}\)
D. \(a^2+1\)
E. \(\frac{a}{a+1}\)
[Reveal] Spoiler: OA

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Re: If and , what is b in terms of a ? [#permalink] New post 15 May 2018, 23:05
The given expression for b can be simplified:

\(b = c + d^2/c\)
or,\(b = \frac{c}{c} + \frac{d^2}{c}\)
or, \(b = 1 + \frac{1}{a}\) (from the eqn for a we can find \(\frac{d^2}{c}\) as a reverse for a)
option A
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Re: If and , what is b in terms of a ?   [#permalink] 15 May 2018, 23:05
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If and , what is b in terms of a ?

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