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a > 0
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09 May 2015, 11:09
09 May 2015, 11:09
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Question Stats:
77% (00:36) correct
22% (00:32) wrong based on 158 sessions
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\(a>0\)
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
Quantity A |
Quantity B |
\((4\sqrt{(5a)})^2\) |
\(40a\) |
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
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: GRE Math Challenge #91
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18 May 2015, 11:18
18 May 2015, 11:18
sandy wrote:
a > 0
Quantity A: \((4\sqrt{(5a)})^2\)
Quantity B: 40a
Quantity A: \((4\sqrt{(5a)})^2\)
Quantity B: 40a
Quantity A:
[4√(5a)]² = [4√(5a)][4√(5a)]
= (16)(5a)
= 80a
So, we have:
Quantity A: 80a
Quantity B: 40a
Subtract 40a from both quantities to get:
Quantity A: 40a
Quantity B: 0
Divide both quantities by 40 to get:
Quantity A: a
Quantity B: 0
The given information tells us that a > 0, so the correct answer is
Show: ::
A
Cheers,
Brent
