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Carcass

Verbal Expert

Joined: 18 Apr 2015

Posts: 21574

3 * 3 *3 / 6 * 6 * 6 [#permalink]

14 Dec 2016, 02:02

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00:00

Question Stats:

87% (00:24) correct

12% (00:58) wrong

based on 103 sessions

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Quantity A	Quantity B
\(\frac{3 \times 3 \times 3}{6 \times 6 \times 6}\)	\((\frac{1}{2})^3\)

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

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GreenlightTestPrep

GRE Instructor

Joined: 10 Apr 2015

Posts: 6038

Re: 3 * 3 *3 / 6 * 6 * 6 [#permalink]

29 Dec 2016, 14:25

Expert Reply

Carcass wrote:

Quantity A	Quantity B
\(\frac{3 \times 3 \times 3}{6 \times 6 \times 6}\)	\((\frac{1}{2})^3\)

Key property: \(\frac{abc}{def} = (\frac{a}{d})(\frac{b}{e})(\frac{c}{f})\)

So, we get:
QUANTITY A: \(\frac{3 \times 3 \times 3}{6 \times 6 \times 6} = \frac{3}{6} \times \frac{3}{6} \times \frac{3}{6}\) \(= \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2}\) \(= (\frac{1}{2})^3\)

Answer: C
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