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Director  Joined: 16 May 2014
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GRE Math Challenge #42-If a positive integer n has [#permalink]
Expert's post 00:00

Question Stats: 100% (00:41) correct 0% (00:00) wrong based on 1 sessions
If a positive integer n has exactly two positive factors what is the value of n?
I. n/2 is a factor of n
II.LCM(n,n+10) is an even number.

A. Statement A is enough to answer the question
B. Statement B is enough to answer the question
C. Both statements are needed.
D. None of the statements are needed to answer the question
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If you find this post helpful, please press the kudos button to let me know ! Manager Joined: 27 Sep 2017
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Re: GRE Math Challenge #42-If a positive integer n has [#permalink]
soumya1989 wrote:
If a positive integer n has exactly two positive factors what is the value of n?
I. n/2 is a factor of n
II.LCM(n,n+10) is an even number.

A. Statement A is enough to answer the question
B. Statement B is enough to answer the question
C. Both statements are needed.
D. None of the statements are needed to answer the question

For this question, my answer would be A and B, but I am uncertain. Here is what I thought.

The stem tells us that a a positive integer n has exactly two positive factors. That clearly shows that b is a PRIME.

Then, for one of factor of n to be divisible by 2, we can deduce that n is 2. Thus, statement I (A?) is enough to answer the question.

For II, LCM(n,n+10) is an even number. only prime number 2 satisfy the statement, Thus, statement II (B?) is enough to answer the question.

Thus, I chose A and B. But, I exclude C, since A and B are NOT both needed. Re: GRE Math Challenge #42-If a positive integer n has   [#permalink] 11 Mar 2018, 05:25
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# GRE Math Challenge #42-If a positive integer n has  Question banks Downloads My Bookmarks Reviews Important topics Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.