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# mo4 Q26

Author Message
Manager
Status: MBA Aspirant
Joined: 12 Jun 2010
Posts: 178
Location: India
WE: Information Technology (Investment Banking)
Followers: 3

Kudos [?]: 66 [0], given: 1

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09 Mar 2012, 23:05
Is 7^7/7^x an integer?
1. 0<=x<=7
2. |x| = x^2

can anybody help me why option D is incorrect.
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Joined: 16 Nov 2010
Posts: 1673
Location: United States (IN)
Concentration: Strategy, Technology
Followers: 34

Kudos [?]: 465 [0], given: 36

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09 Mar 2012, 23:23
Why do you think D is correct ? I think you're assuming x is an integer, right ? We can't assume so unless explicitly stated. For example :

(1)
If x = 1, then 7^7/7^x is an integer, else not

(2) |x| = x^2 only if x = 0 or 1 or -1

In which case the expression is an integer, so answer is B.
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Manager
Status: And the Prep starts again...
Joined: 03 Aug 2010
Posts: 138
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Kudos [?]: 42 [0], given: 20

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09 Mar 2012, 23:51

A) 0<=x<=7

X can be integer or fraction 0,1,1/5, 3/2........ 7. When X is a fraction then 7^7/7^x will not necessarily be an integer.

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Manager
Status: MBA Aspirant
Joined: 12 Jun 2010
Posts: 178
Location: India
WE: Information Technology (Investment Banking)
Followers: 3

Kudos [?]: 66 [0], given: 1

### Show Tags

11 Mar 2012, 21:52
subhashghosh wrote:
Why do you think D is correct ? I think you're assuming x is an integer, right ? We can't assume so unless explicitly stated. For example :

(1)
If x = 1, then 7^7/7^x is an integer, else not

(2) |x| = x^2 only if x = 0 or 1 or -1

In which case the expression is an integer, so answer is B.

Yes, you are correct. I was assuming x to be an integer. Thanks for pointing that out.
Re: mo4 Q26   [#permalink] 11 Mar 2012, 21:52
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# mo4 Q26

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