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# a ≠ b

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Joined: 07 Jun 2014
Posts: 4856
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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a ≠ b [#permalink]  23 Jun 2018, 12:28
Expert's post
00:00

Question Stats:

64% (00:39) correct 35% (00:42) wrong based on 28 sessions
$$a \neq b$$

 Quantity A Quantity B $$\frac{a-b}{b-a}$$ 1

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.
[Reveal] Spoiler: OA

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Sandy
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Director
Joined: 20 Apr 2016
Posts: 817
WE: Engineering (Energy and Utilities)
Followers: 9

Kudos [?]: 588 [0], given: 113

Re: a ≠ b [#permalink]  26 Jun 2018, 07:51
sandy wrote:
$$a \neq b$$

 Quantity A Quantity B $$\frac{a-b}{b-a}$$ 1

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.

From the statement; statement B > Statement 1

If we put any values in Statement 1 it will always result = -1 which is less than statement 2
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Intern
Joined: 04 May 2017
Posts: 36
Followers: 0

Kudos [?]: 22 [0], given: 6

Re: a ≠ b [#permalink]  27 Jun 2018, 17:01
(a-b)/(b-a)=(a-b)/-(a-b)=-1<1 -> B
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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4856
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 102

Kudos [?]: 1741 [0], given: 397

Re: a ≠ b [#permalink]  18 Jul 2018, 07:38
Expert's post
Explanation

Plug in any two unequal values for a and b, and Quantity A will always be equal to –1. This is because a negative sign can be factored out of the top or bottom of the fraction to show that the top and bottom are the same, except for their signs:

$$\frac{a-b}{b-b}=\frac{a-b}{-(a-b)}=-1$$
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Re: a ≠ b   [#permalink] 18 Jul 2018, 07:38
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