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GRE Math Challenge #141-m is a positive integer less than 4
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Updated on: 20 Feb 2020, 16:29
Updated on: 20 Feb 2020, 16:29
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Question Stats:
80% (00:47) correct
19% (00:49) wrong based on 170 sessions
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m is a positive integer less than 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
Quantity A |
Quantity B |
\((m+2)^2\) |
\(m^{m+2}\) |
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
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: GRE Math Challenge #141
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15 May 2015, 13:45
15 May 2015, 13:45
1
sandy wrote:
m is a positive integer less than 4.
Quantity A: \((m+2)^2\)
Quantity B: \(m^(^m^+^2^)\)
Quantity A: \((m+2)^2\)
Quantity B: \(m^(^m^+^2^)\)
NOTE: m is a positive integer less than 4
This means that there are only 3 possible values for (m = 1, 2 or 3)
So, rather than perform any algebraic manipulations, let's just TEST all 3 values of m.
m = 1
Quantity A: (1+2)^2 = = 3^2 = 9
Quantity B: 1^(1+2) = 1^3 = 1
In this case, quantity A is greater.
m = 2
Quantity A: (2+2)^2 = = 4^2 = 16
Quantity B: 2^(2+2) = 2^4 = 16
In this case, quantity A is equal to quantity B.
STOP!
At this point, we can conclude that the correct answer is
Show: ::
D
Cheers,
Brent
Re: GRE Math Challenge #141-m is a positive integer less than 4
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02 Jan 2022, 07:29
02 Jan 2022, 07:29
Expert Reply
