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Intern Joined: 21 Apr 2015
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GRE Practice Question-If |1 - x| = 6 and |2y - 6| = 10 [#permalink] 00:00

Question Stats: 70% (00:54) correct 29% (01:17) wrong based on 17 sessions
If |1 - x| = 6 and |2y - 6| = 10, which of the following tcould be the value of xy?

Indicate ALL such values.

A) -40
B) -14
C) -10
D) 56

?????? Solve each absolute value
[Reveal] Spoiler: OA Intern Joined: 11 Sep 2015
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Re: GRE Practice Question-If |1 - x| = 6 and |2y - 6| = 10 [#permalink]
1
KUDOS GRE Instructor Joined: 10 Apr 2015
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Re: GRE Practice Question-If |1 - x| = 6 and |2y - 6| = 10 [#permalink]
1
KUDOS
Expert's post
Osira wrote:
If |1 - x| = 6 and |2y - 6| = 10, which of the following tcould be the value of xy?

Indicate ALL such values.

A) -40
B) -14
C) -10
D) 56

Given: |1 - x| = 6
So, EITHER 1 - x = 6 OR 1 - x = -6
If 1 - x = 6, then x = -5
If 1 - x = -6, then x = 7

Given: |2y - 6| = 10
So, EITHER 2y - 6 = 10 OR 2y - 6 = -10
If 2y - 6 = 10, then y = 8
If 2y - 6 = -10, then y = -2

So, let's look at all possible values of xy
xy = (-5)(8) = -40
xy = (-5)(-2) = 10
xy = (7)(8) = 56
xy = (7)(-2) = -14

[Reveal] Spoiler:
A, B, D

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Brent Hanneson – Creator of greenlighttestprep.com Sign up for our free GRE Question of the Day emails Manager  Joined: 26 Jun 2017
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Re: GRE Practice Question-If |1 - x| = 6 and |2y - 6| = 10 [#permalink]
1
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We need more challenging questions :D
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What you think, you become. Moderator  Joined: 18 Apr 2015
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Re: GRE Practice Question-If |1 - x| = 6 and |2y - 6| = 10 [#permalink]
1
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Expert's post
Coming soon
_________________ Intern Joined: 22 Oct 2017
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Re: GRE Practice Question-If |1 - x| = 6 and |2y - 6| = 10 [#permalink]
1
KUDOS
1-x=6 => x=-5 2y-6=10 => y=8

or or
1-x=-6 => x=7 2y -6=-10 => y=-2

so, xy=-40, 10, 56 or -14 Re: GRE Practice Question-If |1 - x| = 6 and |2y - 6| = 10   [#permalink] 07 Jan 2018, 06:03
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