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E is the center of square ABCD. AB = 8
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25 Nov 2020, 03:14
25 Nov 2020, 03:14
Expert Reply
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Question Stats:
82% (00:44) correct
17% (00:55) wrong based on 35 sessions
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GRE E is the center of square ABCD.png [ 10.66 KiB | Viewed 1837 times ]
E is the center of square ABCD.
AB = 8
Quantity A |
Quantity B |
AE |
4 |
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.
Kudos for the right answer and explanation
Re: E is the center of square ABCD. AB = 8
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27 Nov 2020, 04:45
27 Nov 2020, 04:45
1
Carcass wrote:
Attachment:
GRE E is the center of square ABCD.png
E is the center of square ABCD.
AB = 8
Quantity A |
Quantity B |
AE |
4 |
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.
Kudos for the right answer and explanation
Each side of the square is 8.
If we consider AD and DC as two legs of a right triangle then the hypotenuse will be AC.
AE = AC/2.
AC^2 = AD^2 + DC^2 --> 8^2 + 8^2 --> 128.
AC = 8√2.
Hence AE = 8√2/2 --> 4√2. Therefore Qty A is the right answer.
gmatclubot
Re: E is the center of square ABCD. AB = 8 [#permalink]
27 Nov 2020, 04:45
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