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GRE Math Challenge #41- If x is an integer

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soumya1989
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GRE Math Challenge #41- If x is an integer [#permalink] New post   Updated on: 22 Feb 2020, 09:09
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x is an integer.

Quantity A
Quantity B
\(|23x|\)
\(2 \sqrt{x^2}\)




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.

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D

Originally posted by soumya1989 on 28 Feb 2015, 02:57.
Last edited by GreenlightTestPrep on 22 Feb 2020, 09:09, edited 3 times in total.
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Peter
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Re: GRE Math Challenge #41- If x is an integer [#permalink] New post   11 Mar 2018, 05:09
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soumya1989 wrote:
If x is an integer, what is the value of x?

Column AColumn B
\(|23x|\)\(2\sqrt{x^2}\)

A. Column A is prime
B. Column B is prime
C. Column A & B both are prime
D. Column A & B both are NOT prime
E. Cannot be determined


We are told that x is an integer. Thus, we can sex x as 0. Then, for quant A, |23X|would be 0.

For quant B, \(2\sqrt{x^2}\) would be 0, as well.

YET, if we set x=1. Then for Quant A, |23X|would be 23. For quant B, \(2\sqrt{x^2}\) would be 2.

Hence, the ans wouldm be D.
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Re: GRE Math Challenge #41- If x is an integer [#permalink] New post   18 Feb 2020, 13:10
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abity
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Re: GRE Math Challenge #41- If x is an integer [#permalink] New post   24 Feb 2020, 02:37
Thank you
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AjinkyaGupta88
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Re: GRE Math Challenge #41- If x is an integer [#permalink] New post   09 May 2022, 22:53
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A - can be -23X or 23X
B - is 2X

Thus, if X is positive, B is always positive. But, A can be both.

Hence, D is the answer choice
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Re: GRE Math Challenge #41- If x is an integer [#permalink] New post   17 Jul 2022, 11:14
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AjinkyaGupta88 wrote:
A - can be -23X or 23X
B - is 2X

Thus, if X is positive, B is always positive. But, A can be both.

Hence, D is the answer choice


Quantity A shall never be negative because its enclosed within a modulus.

You arrived at the right answer (D) out of fortune, as both the quantities can be zero if X is set to zero, but both the quantities can differ (Quantity A being bigger) if X is non-zero, hence the answer is D.
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Re: GRE Math Challenge #41- If x is an integer [#permalink] New post   24 Sep 2023, 08:15
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: GRE Math Challenge #41- If x is an integer [#permalink]
24 Sep 2023, 08:15
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