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M04 Q26

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Manager
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Joined: 02 Aug 2009
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M04 Q26 [#permalink] New post 05 Jan 2010, 14:50
Is (7^7) / (7^X) an integer?

1 0<=X<=7
2 absolute(X) = X^2

[Reveal] Spoiler:
OA B


Can someone explain this please?

Thanks,

Run
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Senior Manager
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Joined: 30 Aug 2009
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Location: India
Concentration: General Management
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Re: M04 Q26 [#permalink] New post 05 Jan 2010, 19:34
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run4run wrote:
Is (7^7) / (7^X) an integer?

1 0<=X<=7
2 absolute(X) = X^2

Can someone explain this please?

Thanks,

Run



stmnt1 tells us that x is b/w 0 and 7 but x can be fraction as well i.e. if x=1 then (7^7) / (7^X) is an integer

if x = 3/2 then (7^7) / (7^X) is not an integer. hence insuff

stmnt2 - |x| = x^2. only values of x satisfying this condition are -1,0,1. for all the 3 values (7^7) / (7^X) will be an integer. hence suff

NOTE: Its a yes/no question. we are not concerned with the value of expression
Manager
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Joined: 02 Aug 2009
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Kudos [?]: 11 [0], given: 1

Re: M04 Q26 [#permalink] New post 11 Jan 2010, 13:33
isn't the OA wrong than? shouldn't the answer be D since 7^7/7^-1 , 7^7/7^0 and 7^7/7^1 all equal integers?

Run
Re: M04 Q26   [#permalink] 11 Jan 2010, 13:33
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M04 Q26

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