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x and y

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Director
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Joined: 07 Jan 2018
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Kudos [?]: 476 [1] , given: 84

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x and y [#permalink] New post 30 Jun 2018, 10:05
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Question Stats:

66% (00:43) correct 33% (01:14) wrong based on 6 sessions
Attachment:
xyw.png
xyw.png [ 2.96 KiB | Viewed 468 times ]

Quantity A
Quantity B
x
y


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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Kudos [?]: 1105 [0], given: 7

Re: x and y [#permalink] New post 04 Jul 2018, 06:12
Expert's post
amorphous wrote:
Attachment:
xyw.png

Quantity A
Quantity B
x
y


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


We'll use the fact that angles on a line add to 180°
So, for example: x + (w - 1) = 180°
Likewise, we can write: y + (w + 1) = 180°

Since both equations are set equal to 180°, we can conclude that: x + (w - 1) = y + (w + 1)
Remove brackets to get: x + w - 1 = y + w + 1
Subtract w from both sides to get: x - 1 = y + 1
Add 1 to both sides to get: x = y + 2

Now take the two quantities and replace x with y + 2
We get:
Quantity A: y + 2
Quantity B: y

At this point, we can see that y + 2 is GREATER THAN y

Answer: A

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com
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Re: x and y   [#permalink] 04 Jul 2018, 06:12
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