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AC or 4
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01 Apr 2021, 01:56
01 Apr 2021, 01:56
1
Expert Reply
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Question Stats:
76% (00:34) correct
23% (01:07) wrong based on 17 sessions
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Attachment:
GRE AC or 4.jpg [ 15.14 KiB | Viewed 1289 times ]
Quantity A |
Quantity B |
AC |
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
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
AC or 4
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02 Apr 2021, 07:28
02 Apr 2021, 07:28
1
This is a classic 30-60-90 triangle hence the sides will be in proportion of 1:\(\sqrt{3}\):2
AB : BC : AC = 1:\(\sqrt{3}\):2
With this we will get x = 2
Qt A
AC = 2x = 4
Qt B = Qt A
Answer C
AB : BC : AC = 1:\(\sqrt{3}\):2
With this we will get x = 2
Qt A
AC = 2x = 4
Qt B = Qt A
Answer C
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Re: AC or 4
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02 Apr 2021, 07:30
02 Apr 2021, 07:30
1
Carcass wrote:
Attachment:
GRE AC or 4.jpg
Quantity A |
Quantity B |
AC |
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.
In \(30-60-90\) Right triangle the sides are in ratio \(x : \sqrt{3}x : 2x\)
We have been given \(\sqrt{3}x = 2\sqrt{3}\)
i.e. \(x = 2\)
So, \(AC = 2x = 4\)
\(Col. A: 4\)
\(Col. B: 4\)
Hence, option C
