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If abc ≠ 0 is (a/b)/c = a/(b/c)

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If abc ≠ 0 is (a/b)/c = a/(b/c)  [#permalink]

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New post 21 Jan 2014, 04:10
2
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A
B
C
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  25% (medium)

Question Stats:

71% (00:56) correct 29% (01:05) wrong based on 791 sessions

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The Official Guide For GMAT® Quantitative Review, 2ND Edition

If \(abc\neq{0}\), is \(\frac{\frac{a}{b}}{c}=\frac{a}{\frac{b}{c}}\)?

(1) a = 1
(2) c = 1

Data Sufficiency
Question: 48
Category: Algebra Fractions
Page: 156
Difficulty: 600


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Re: If abc ≠ 0 is (a/b)/c = a/(b/c)  [#permalink]

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New post 21 Jan 2014, 04:11
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SOLUTION

If \(abc\neq{0}\), is \(\frac{\frac{a}{b}}{c}=\frac{a}{\frac{b}{c}}\)?

\(\frac{\frac{a}{b}}{c}=\frac{a}{b}*\frac{1}{c}=\frac{a}{bc}\);


\(\frac{a}{\frac{b}{c}}=a*\frac{c}{b}=\frac{ac}{b}\).

So, the question becomes: is \(\frac{a}{bc}=\frac{ac}{b}\)? --> reduce by a/b: is \(\frac{1}{c}=c\)? --> is \(c^2=1\).

(1) a = 1. Not sufficient.

(2) c = 1. Sufficient.

Answer: B.
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Collection of Questions:
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Re: If abc ≠ 0 is (a/b)/c = a/(b/c)  [#permalink]

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New post 11 Mar 2017, 06:35
Hi all,
Can we use if: a/b = c/d then ad = bc ?

So in this case we will get:
a*c = \(\frac{a}{b}\) * \(\frac{b}{c}\)
a*c = \(\frac{a}{c}\)

and nowif we know from (1):
a=1 then let's take c=3 as an example:
1*3 ≠ 1/3

(2) c=1
any a we take it always holds true:
4*1 = 4/1
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Re: If abc ≠ 0 is (a/b)/c = a/(b/c)  [#permalink]

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New post 30 Sep 2018, 03:42
VeritasKarishma chetan2u , JeffTargetTestPrep please post your solution here. Thanks
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Re: If abc ≠ 0 is (a/b)/c = a/(b/c) &nbs [#permalink] 30 Sep 2018, 03:42
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