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Find the relation between the fractions

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GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1659 [0], given: 396

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Find the relation between the fractions [#permalink] New post 20 Jan 2016, 18:18
Expert's post
00:00

Question Stats:

90% (00:12) correct 10% (00:11) wrong based on 30 sessions
Quantity A
Quantity B
\(\frac{3^{-1}}{4^{-1}}\)
\(\frac{4}{3}\)


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.




Practice Questions
Question: 1
Page: 457
Difficulty: easy
[Reveal] Spoiler: OA

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Sandy
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1659 [0], given: 396

CAT Tests
Re: Find the relation between the fractions [#permalink] New post 20 Jan 2016, 18:57
Expert's post
Solution

We are asked to compare \(\frac{3^-^1}{4^-^1}\) with \(\frac{4}{3}\). If a is a nonzero number, then \(a^-^1=\frac{1}{a}\)

Using these rules of exponents, we can see that

\(\frac{3^-^1}{4^-^1}\)= \(\frac{4}{3}\).
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Sandy
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1 KUDOS received
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Joined: 10 Apr 2015
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Re: Find the relation between the fractions [#permalink] New post 12 Jun 2018, 04:49
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Expert's post
sandy wrote:
Quantity A
Quantity B
\(\frac{3^{-1}}{4^{-1}}\)
\(\frac{4}{3}\)


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.


Two nice rules:
#1: (a^x)/(b^x) = (a/b)^x
#2: (a/b)^(-n) = (b/a)^(n)


Given:
Quantity A: 3^(-1)/4^(-1)
Quantity B: 4/3

Applying rule #1 to Quantity A, we get:
Quantity A: (3/4)^(-1)
Quantity B: 4/3

Applying rule #2 to Quantity A, we get:
Quantity A: (4/3)^(1)
Quantity B: 4/3

Simplify Quantity A:
Quantity A: 4/3
Quantity B: 4/3

Answer: C

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com
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Re: Find the relation between the fractions   [#permalink] 12 Jun 2018, 04:49
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