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

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

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New post 20 Aug 2014, 19:56
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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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New post 20 Aug 2014, 19:58
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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V
Joined: 02 Sep 2009
Posts: 50572
Re: If n is a nonzero integer, is xn < 1?  [#permalink]

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New post 21 Aug 2014, 02:39
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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Manager
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Joined: 28 Aug 2013
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Re: If n is a nonzero integer, is xn < 1?  [#permalink]

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New post 21 Aug 2014, 03:51
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
_________________

G-prep1 540 --> Kaplan 580-->Veritas 640-->MGMAT 590 -->MGMAT 2 640 --> MGMAT 3 640 ---> MGMAT 4 650 -->MGMAT 5 680 -- >GMAT prep 1 570

Give your best shot...rest leave upto Mahadev, he is the extractor of all negativity in the world !!

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

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New post 21 Aug 2014, 06:19
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.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Manager
Manager
avatar
Joined: 28 Aug 2013
Posts: 81
Location: India
Concentration: Operations, Marketing
Schools: Insead '14, ISB '15
GMAT Date: 08-28-2014
GPA: 3.86
WE: Supply Chain Management (Manufacturing)
Re: If n is a nonzero integer, is xn < 1?  [#permalink]

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New post 21 Aug 2014, 08:35
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 >
_________________

G-prep1 540 --> Kaplan 580-->Veritas 640-->MGMAT 590 -->MGMAT 2 640 --> MGMAT 3 640 ---> MGMAT 4 650 -->MGMAT 5 680 -- >GMAT prep 1 570

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

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New post 21 Aug 2014, 09:47
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]

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New post 25 Jan 2018, 04:27
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Re: If n is a nonzero integer, is xn < 1? &nbs [#permalink] 25 Jan 2018, 04:27
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