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GRE Math Challenge #126-n is a positive integer
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Updated on: 20 Feb 2020, 15:29
Updated on: 20 Feb 2020, 15:29
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89% (00:32) correct
10% (00:41) wrong based on 103 sessions
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n is a positive integer.
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 |
\(n^{100}\) |
\(100^n\) |
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 #126
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17 May 2015, 09:06
17 May 2015, 09:06
sandy wrote:
n is a positive integer.
Quantity A: \(n^1^0^0\)
Quantity B: \(100^n\)
Quantity A: \(n^1^0^0\)
Quantity B: \(100^n\)
One of my favorite Quantitative Comparison strategies is called "Looking for Equality" (free video on this topic here: http://www.greenlighttestprep.com/modul ... on?id=1099).
In this strategy, I'll look for a value of n such that the two quantities are equal.
Consider these two cases:
Case #1: n = 100
We get:
Quantity A: n^100 = 100^100
Quantity B: 100^n = 100^100
Since the two quantities are EQUAL, the correct answer is EITHER C or D
Now try some other value of n
Case #2: n = 1
Quantity A: n^100 = 1^100 = 1
Quantity B: 100^n = 100^1 = 100
Since the two quantities are NOT EQUAL, the correct answer is
Show: ::
D
Cheers,
Brent
Re: GRE Math Challenge #126-n is a positive integer
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25 Oct 2018, 03:16
25 Oct 2018, 03:16
I f we take n = 1 and n = 0 we get QA< Qb When n=0 QA is 0, & QB is 1 so QB > QA
NOW, take N = 1 QA is 1 and QB is 100 SO HERE ALSO Qb> QA. How we would know that we have to put vlaues matching to the question as u have palced value of n = 100 here
NOW, take N = 1 QA is 1 and QB is 100 SO HERE ALSO Qb> QA. How we would know that we have to put vlaues matching to the question as u have palced value of n = 100 here
