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# M04 q26

Author Message
Manager
Joined: 19 Apr 2013
Posts: 77
Concentration: Entrepreneurship, Finance
GMAT Date: 06-05-2015
GPA: 3.88
WE: Programming (Computer Software)
Re: Is (7^7)/(7^x) an integer? [#permalink]

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25 Dec 2013, 00:45
ChallengeAnything wrote:
Is (7^7)/(7^x) an Integer?

(1) 0≤x≤7

(2) |x|=(x^2)

Can Someone help me understand this?

My understanding:

Statement 1: Sufficient
Because, x can be any value in the range (0, 1, 2, 3, 4, 5, 6, 7)

rewriting the given expression: 7^(7-x) and considering x values, we get integer for any given 'x';

Statement 2: Sufficient
Because, same as Statement 1 explanation.

But the explanation says something different.

Hi

B is the right answer. I will explain how the answer is B.

Using statement 1:

x lies between 0 and 7. ( Ofcourse x can have values 0,1,2,3,4,5,6,7)

But it can also have 1/2,3/2 other fraction values.

As in statement no where it is mentioned that x is an Integer.

So if you use 1,2, 3 you will get an integer, but if you use fraction value you will get non-Integer. So Insufficient.

Using statement 2:

we can have solution only integer which ae -1,0,1 as value of x.

so question term will give integer.

PS: Seems like you yourself assumend x is Integer, while it is no where given in question.

Thanks
AB

+1 Kudos if you like and understand.

_________________

Thanks,
AB

+1 Kudos if you like and understand.

Intern
Joined: 29 Sep 2012
Posts: 20
Location: United States
Concentration: Finance, Strategy
WE: Corporate Finance (Investment Banking)
Re: Is (7^7)/(7^x) an integer? [#permalink]

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25 Dec 2013, 01:01
Thanks mate.
Yes, ONE BLUNDER i always do.
Noted it now.
_________________

Learn the Values. Knowledge comes by itself.

Re: Is (7^7)/(7^x) an integer?   [#permalink] 25 Dec 2013, 01:01

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# M04 q26

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