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If n is a nonzero integer, is xn < 1? [#permalink]
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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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Re: If n is a nonzero integer, is xn < 1? [#permalink]
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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]
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21 Aug 2014, 03:39



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Re: If n is a nonzero integer, is xn < 1? [#permalink]
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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 Regards Ls Posted from my mobile device
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Re: If n is a nonzero integer, is xn < 1? [#permalink]
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21 Aug 2014, 07:19
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]
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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]
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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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