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If n is a nonzero integer, is xn < 1?

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lastshot
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If n is a nonzero integer, is xn < 1? [#permalink] New post   20 Aug 2014, 20:56
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If n is a nonzero integer, is x^n < 1?

(1) x > 1

(2) n > 0
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C
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Re: If n is a nonzero integer, is xn < 1? [#permalink] New post   20 Aug 2014, 20:58
lastshot wrote:
If n is a nonzero integer, is x^n < 1?

(1) x > 1

(2) n > 0



Question is from Mgmat test, As per OA provided by MGMAT , I was wrong !!

Can someone please share with me the process by which you got right answer as i am not satisfied with MGMAT explaination

Regards
LS
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Re: If n is a nonzero integer, is xn < 1? [#permalink] New post   21 Aug 2014, 03:39
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If n is a nonzero integer, is x^n < 1?

(1) x > 1. If x = 2 and n = 1, then the answer is NO but if x = 2 and n = -1, then the answer is YES.

(2) n > 0. If x = 2 and n = 1, then the answer is NO but if x = 1/2 and n = 1, then the answer is YES.

(1)+(2) x is greater than 1 and n is a positive number: any number greater than 1 in positive power is greater than 1. Sufficient.

Answer: C.
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Re: If n is a nonzero integer, is xn < 1? [#permalink] New post   21 Aug 2014, 04:51
Bunuel wrote:
If n is a nonzero integer, is x^n < 1?

(1) x > 1. If x = 2 and n = 1, then the answer is NO but if x = 2 and n = -1
, then the answer is YES.

(2) n > 0. If x = 2 and n = 1, then the answer is NO but if x = 1/2 and n = 1, then the answer is YES.

(1)+(2) x is greater than 1 and n is a positive number: any number greater than 1 in positive power is greater than 1. Sufficient.

Answer: C.


I have just 1 query, why you have consider x as an integer only because if you assume any value non integer then ans will be no

Shade your thoughts

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Ls

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Bunuel
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Re: If n is a nonzero integer, is xn < 1? [#permalink] New post   21 Aug 2014, 07:19
Expert Reply
lastshot wrote:
Bunuel wrote:
If n is a nonzero integer, is x^n < 1?

(1) x > 1. If x = 2 and n = 1, then the answer is NO but if x = 2 and n = -1
, then the answer is YES.

(2) n > 0. If x = 2 and n = 1, then the answer is NO but if x = 1/2 and n = 1, then the answer is YES.

(1)+(2) x is greater than 1 and n is a positive number: any number greater than 1 in positive power is greater than 1. Sufficient.

Answer: C.


I have just 1 query, why you have consider x as an integer only because if you assume any value non integer then ans will be no

Shade your thoughts

Regards
Ls

Posted from my mobile device


Any number, not necessarily an integer, greater than 1 in positive power is greater than 1. Consider this: any number greater than 1 multiplied by itself n times (n > 0) must be greater than 1.
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Re: If n is a nonzero integer, is xn < 1? [#permalink] New post   21 Aug 2014, 09:35
Bunuel wrote:
lastshot wrote:
Bunuel wrote:
If n is a nonzero integer, is x^n < 1?

(1) x > 1. If x = 2 and n = 1, then the answer is NO but if x = 2 and n = -1
, then the answer is YES.

(2) n > 0. If x = 2 and n = 1, then the answer is NO but if x = 1/2 and n = 1, then the answer is YES.

(1)+(2) x is greater than 1 and n is a positive number: any number greater than 1 in positive power is greater than 1. Sufficient.

Answer: C.


I have just 1 query, why you have consider x as an integer only because if you assume any value non integer then ans will be no

Share your thoughts


Regards
Ls

Posted from my mobile device


Any number, not necessarily an integer, greater than 1 in positive power is greater than 1. Consider this: any number greater than 1 multiplied by itself n times (n > 0) must be greater than 1.



Thanks for reply !!!

I am doing dumbest of the mistake, my exam is on 28th of this month, & suddenly i am facing major problem with DS < Accuracy plummet to 55 % that too for easy & medium ..so you can imagine about hard >
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Re: If n is a nonzero integer, is xn < 1? [#permalink] New post   21 Aug 2014, 10:47
You are able to eliminate the answers with x as an integers to begin with. If however, you were getting 1) or 2) as the answer with x as integer only, to confirm the answer further, you would have to consider x as a rational number also.
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Re: If n is a nonzero integer, is xn < 1? [#permalink] New post   13 Sep 2021, 03:22
Quick question: Had n not been an integer the answer would be E right? Because if n was a fraction less than 1, x^n could be less than one for smaller numbers above 1
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Re: If n is a nonzero integer, is xn < 1? [#permalink] New post   15 Jan 2023, 09:03
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Re: If n is a nonzero integer, is xn < 1? [#permalink]
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