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GRE Math Challenge #42-If a positive integer n has

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GRE Math Challenge #42-If a positive integer n has [#permalink] New post 28 Feb 2015, 03:14
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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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Re: GRE Math Challenge #42-If a positive integer n has [#permalink] New post 11 Mar 2018, 05:25
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

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