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(c+d)^2 or c^2+d^2
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01 Mar 2021, 10:14
01 Mar 2021, 10:14
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Question Stats:
87% (00:36) correct
12% (00:18) wrong based on 16 sessions
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Quantity A |
Quantity B |
\((c+d)^2 \) |
\(c^2+d^2 \) |
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
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Re: (c+d)^2 or c^2+d^2
[#permalink]
01 Mar 2021, 23:36
01 Mar 2021, 23:36
1
Carcass wrote:
Quantity A |
Quantity B |
\((c+d)^2 \) |
\(c^2+d^2 \) |
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.
Col. A: \(c^2+d^2+2cd \)
Col. B: \(c^2+d^2\)
Subtracting \(c^2+d^2\) from both the sides;
Col. A: 0
Col. B: \(2cd\)
We do not know the values of \(c\) and \(d\)
Case I: If both are positive - Col. B > Col. A
Case II: If one is negative and other positive - Col. A > Col. B
Case III: If both are 0 - Col. A = Col. B
Hence. option D
gmatclubot
Re: (c+d)^2 or c^2+d^2 [#permalink]
01 Mar 2021, 23:36
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