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GRE Math Challenge #5- x is a positive integer

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soumya1989

Director

Joined: 16 May 2014

Posts: 592

GRE 1: Q165 V161

GRE Math Challenge #5- x is a positive integer [#permalink]

29 May 2014, 02:13

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Question Stats:

54% (00:06) correct

45% (00:07) wrong

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x is a positive integer

Quantity A

x^2

Quantity B

x^3

A) The quantity in Quantity A is greater
B) The quantity in Quantity B is greater
C) The two quantities are equal
D) The relationship cannot be determined from the information given

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annyo

Intern

Joined: 18 Feb 2017

Posts: 7

Re: GRE Math Challenge #5- x is a positive integer [#permalink]

16 Mar 2017, 01:19

I dont understand? How can it be B? What happens when x is 1? Why is it not D? Please I need help. Please

GreenlightTestPrep

GRE Instructor

Joined: 10 Apr 2015

Posts: 5903

Re: GRE Math Challenge #5- x is a positive integer [#permalink]

24 Mar 2017, 05:18

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soumya1989 wrote:

x is a positive integer

Quantity A

x^2

Quantity B

x^3

Quantity A: x²
Quantity B: x³

Since we know that x² is POSITIVE, we can divide both quantities by x² to get:
Quantity A: 1
Quantity B: x

So, x COULD equal 1, in which case the quantities are EQUAL
Or x COULD equal 2, in which case the Quantity B is greater.

Answer:

Show: ::

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annyo

Intern

Joined: 18 Feb 2017

Posts: 7

Re: GRE Math Challenge #5- x is a positive integer [#permalink]

24 Mar 2017, 05:26

lol

greMS15

Manager

Joined: 21 Oct 2015

Posts: 64

Re: GRE Math Challenge #5- x is a positive integer [#permalink]

14 May 2017, 12:52

Hello Brent,
I still do not understand why answer is B.
as you mentioned

"So, x COULD equal 1, in which case the quantities are EQUAL
Or x COULD equal 2, in which case the Quantity B is greater. "

from this, both sides can be equal that is 1 or B > A, so answer should be D . Is not it? Am i missing anything? Please let me know.

GreenlightTestPrep wrote:

soumya1989 wrote:

x is a positive integer

Quantity A

x^2

Quantity B

x^3

GreenlightTestPrep

GRE Instructor

Joined: 10 Apr 2015

Posts: 5903

Re: GRE Math Challenge #5- x is a positive integer [#permalink]

14 May 2017, 15:55

Expert Reply

greMS15 wrote:

Good catch - thanks!
Silly mistake on my part. I've changed the B to a D

Cheers,
Brent
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bumpbot

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Posts: 2698

Re: GRE Math Challenge #5- x is a positive integer [#permalink]

08 Jul 2021, 06:42

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