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# Is the positive integer x an even number?

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6398
GMAT 1: 760 Q51 V42
GPA: 3.82
Is the positive integer x an even number?  [#permalink]

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25 Jan 2018, 04:04
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Difficulty:

25% (medium)

Question Stats:

63% (00:39) correct 37% (01:32) wrong based on 61 sessions

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[GMAT math practice question]

Is the positive integer $$x$$ an even number?

1) The smallest prime factor of $$x$$ is $$3$$.
2) The greatest prime factor of $$x$$ is $$17$$.

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
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"Only $99 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Math Expert Joined: 02 Sep 2009 Posts: 50039 Re: Is the positive integer x an even number? [#permalink] ### Show Tags 25 Jan 2018, 05:31 MathRevolution wrote: [GMAT math practice question] Is the positive integer $$x$$ an even number? 1) The smallest prime factor of $$x$$ is $$3$$. 2) The greatest prime factor of $$x$$ is $$17$$. Almost identical question: https://gmatclub.com/forum/is-a-positiv ... 44435.html _________________ Math Expert Joined: 02 Aug 2009 Posts: 6976 Re: Is the positive integer x an even number? [#permalink] ### Show Tags 25 Jan 2018, 06:35 MathRevolution wrote: [GMAT math practice question] Is the positive integer $$x$$ an even number? 1) The smallest prime factor of $$x$$ is $$3$$. 2) The greatest prime factor of $$x$$ is $$17$$. ONLY even prime factor is 2, which also happens to be the smallest prime factor.. 1) The smallest prime factor of $$x$$ is $$3$$. this means x does not have 2 as a factor, so x is ODD suff 2) The greatest prime factor of $$x$$ is $$17$$. 2 can be a factor or may not be.. insuff A _________________ 1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html GMAT online Tutor Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6398 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: Is the positive integer x an even number? [#permalink] ### Show Tags 28 Jan 2018, 18:43 => Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we have 1 variable (x) and 0 equations, D is most likely to be the answer. So, we should first consider each condition on its own. Condition 1) Since all prime factors of x are greater than or equal to 3, 2 is not a prime factor of x, and x is not an even number. The answer is ‘no’. This condition is sufficient by CMT (Common Mistake Type) 1, which tells us that the unique answer ‘no’ also means that the condition is sufficient. Condition 2) If x = 2*17 = 34, then the answer is ‘yes’. If x = 17, then the answer is ‘no’. Since we do not have a unique answer, condition 2) is not sufficient. Therefore, 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$99 for 3 month Online Course"
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Re: Is the positive integer x an even number? &nbs [#permalink] 28 Jan 2018, 18:43
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