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n>0
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17 Feb 2021, 05:40
17 Feb 2021, 05:40
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\(n>0\)
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
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Quantity A |
Quantity B |
\(n\) |
\(\frac{1}{n}\) |
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
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
n>0
[#permalink]
17 Feb 2021, 07:26
17 Feb 2021, 07:26
2
In this type of question, assume the values.
Take n = 2
Qt A = 2 & Qt B = \(\frac{1}{2}\)
Qt A > Qt B
if n=\(\frac{1}{2}\)
Qt A = \(\frac{1}{2}\) & Qt B = 2
Qt A < Qt B
Answer D
Take n = 2
Qt A = 2 & Qt B = \(\frac{1}{2}\)
Qt A > Qt B
if n=\(\frac{1}{2}\)
Qt A = \(\frac{1}{2}\) & Qt B = 2
Qt A < Qt B
Answer D
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Re: n>0
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17 Feb 2021, 07:34
17 Feb 2021, 07:34
1
Carcass wrote:
\(n>0\)
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.
Quantity A |
Quantity B |
\(n\) |
\(\frac{1}{n}\) |
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.
Given:
Quantity A: \(n\)
Quantity B: \(\frac{1}{n}\)
Since we're told that \(n\) is POSITIVE, we can safely multiply both quantities by \(n\) to get:
Quantity A: \(n^2\)
Quantity B: \(1\)
At this point, we can see that, if \(n=1\), then the two quantities are equal
Conversely, if \(n=2\), then the two quantities are NOT equal
Answer: D
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