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x and y

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

54% (00:37) correct 45% (01:05) wrong based on 44 sessions
Attachment:
xyw.png
xyw.png [ 2.96 KiB | Viewed 1722 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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Re: x and y [#permalink] New post 04 Jul 2018, 06:12
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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
If you enjoy my solutions, you'll like my GRE prep course.
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Re: x and y [#permalink] New post 25 Apr 2020, 00:27
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I think it faster just to use numbers here, make w = 90 we get w-1 = 89 and w+1 = 91 meaning x = 180-91 > 180-91 (don't need to actually calculate anything, we just subtract a bigger number from y making it smaller
Re: x and y   [#permalink] 25 Apr 2020, 00:27
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