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given a < 0

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GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4704
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 90

Kudos [?]: 1596 [0], given: 373

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given a < 0 [#permalink] New post 02 Jul 2017, 15:29
Expert's post
00:00

Question Stats:

80% (00:16) correct 19% (00:52) wrong based on 21 sessions
a < 0

Quantity A
Quantity B
2a


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


Drill 1
Question: 1
Page: 352
[Reveal] Spoiler: OA

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Joined: 10 Apr 2015
Posts: 1169
Followers: 43

Kudos [?]: 1039 [0], given: 6

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Re: given a < 0 [#permalink] New post 08 Jul 2017, 05:56
Expert's post
sandy wrote:
a < 0

Quantity A
Quantity B
a^2
2a


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


Drill 1
Question: 1
Page: 352


Given:
QUANTITY A: a²
QUANTITY B: 2a

Since a is negative, we know that a² = (negative)(negative) = some POSITIVE number
Since a is negative, we know that 2a = (2)(negative) = some NEGATIVE number

So, we get:
QUANTITY A: some POSITIVE number
QUANTITY B: some NEGATIVE number

Answer: A

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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4704
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 90

Kudos [?]: 1596 [0], given: 373

CAT Tests
Re: given a < 0 [#permalink] New post 22 Apr 2018, 14:04
Expert's post
Explanation

Try Plugging In.

If a = –3, then Quantity A is \((-3)^2 = 9\) and Quantity B is \(2(-3) = -6\).

Notice that Quantity A must always be positive because anything raised to an even power is positive. Quantity B must be negative because a positive times a negative is always negative.

Thus, Quantity A must always be greater.
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Sandy
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Re: given a < 0   [#permalink] 22 Apr 2018, 14:04
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