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Re: If n is a nonzero integer, is xn < 1? [#permalink]
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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Re: If n is a nonzero integer, is xn < 1? [#permalink]
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]
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]
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]
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]
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Re: If n is a nonzero integer, is xn < 1? [#permalink]
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