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# Is a positive integer x an even number? 1) The smallest prime factor o

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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GMAT 1: 760 Q51 V42
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Is a positive integer x an even number? 1) The smallest prime factor o  [#permalink]

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11 Jul 2017, 01:39
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92% (00:30) correct 8% (00:41) wrong based on 51 sessions

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Is a positive integer x an even number?

1) The smallest prime factor of x is 2.
2) The greatest prime factor of x is 13.

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
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"Only $149 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Senior CR Moderator Status: Long way to go! Joined: 10 Oct 2016 Posts: 1354 Location: Viet Nam Re: Is a positive integer x an even number? 1) The smallest prime factor o [#permalink] ### Show Tags 11 Jul 2017, 01:44 MathRevolution wrote: Is a positive integer x an even number? 1) The smallest prime factor of x is 2. 2) The greatest prime factor of x is 13. (1) It is clear that x is even. Sufficient. (2) We can't know whether x is divisible by 2 or not. Insufficient. The answer is A. _________________ Director Joined: 04 Dec 2015 Posts: 750 Location: India Concentration: Technology, Strategy WE: Information Technology (Consulting) Re: Is a positive integer x an even number? 1) The smallest prime factor o [#permalink] ### Show Tags 11 Jul 2017, 01:54 MathRevolution wrote: Is a positive integer x an even number? 1) The smallest prime factor of x is 2. 2) The greatest prime factor of x is 13. 1) The smallest prime factor of $$x$$ is $$2$$. Any number which is multiple of $$2$$ is an even number. Since $$x$$ has $$2$$ as its factor, $$x$$ is multiple of $$2$$ and hence $$x$$ is an even number. I is Sufficient. 2) The greatest prime factor of $$x$$ is $$13$$. $$x$$ has $$13$$ as its factor. We cannot determine if $$x$$ has any even factors. Hence II is Not Sufficient. Answer (A)... _________________ Please Press "+1 Kudos" to appreciate. Intern Joined: 19 Jan 2017 Posts: 5 Re: Is a positive integer x an even number? 1) The smallest prime factor o [#permalink] ### Show Tags 11 Jul 2017, 02:00 MathRevolution wrote: Is a positive integer x an even number? 1) The smallest prime factor of x is 2. 2) The greatest prime factor of x is 13. very easy.. for a number to be even it should be multiple of 2.. case 1 clearly says that. case b- highest prime factor is 13, no could be 13; 26;39 and so on.. cant'say from this Sent from my SM-A700FD using GMAT Club Forum mobile app Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 7230 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: Is a positive integer x an even number? 1) The smallest prime factor o [#permalink] ### Show Tags 13 Jul 2017, 02:05 ==> In the original condition, there is 1 variable (x) and in order to match the number of variables to the number of equations, there must be 1 equations. Since there is 1 for con 1) and 1 for con 2), D is most likely to be the answer. For con 1), since x always has 2 as the factor, you get x=even, hence yes, it is sufficient. For con 2), you get x=2*13 yes but x=13 no, hence it is not sufficient. The answer is A. Answer: A _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$149 for 3 month Online Course"
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Re: Is a positive integer x an even number? 1) The smallest prime factor o   [#permalink] 13 Jul 2017, 02:05
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# Is a positive integer x an even number? 1) The smallest prime factor o

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