Challenge Problem Showdown – November 19, 2012

by

challenge problem
We invite you to test your GMAT knowledge for a chance to win! Each week, we will post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that week’s drawing for a free Manhattan GMAT Prep item. Tell your friends to get out their scrap paper and start solving!
Here is this week’s problem:

If n is a prime number greater than 2, is 1/x > 1?

(1) xn < x < x(1/n)

(2) x(n“1) > x(2n“2)

GMAT Challenge Problem
To see the answer choices, and to submit your answer, visit our Challenge Problem Showdown page on our site.

Discuss this week’s problem with like-minded GMAT takers on our Facebook page.

The weekly winner, drawn from among all the correct submissions, will receive One Year of Access to our Challenge Problem Archive, AND the GMAT Navigator, AND Our Six Computer Adaptive Tests ($92 value).

  1. www.ellaeco.com.br April 21, 2013 at 1:22 pm

    Though Id disagree on some of the finer particulars, I believe you probably did an superior job explaining it. Positive beats having to research it on my own. Muchos Gracias on your post.

  2. Rohan January 15, 2013 at 1:51 pm

    Were can we get the answer to this problem, I want to understand what happens if x => -ve

  3. brand December 22, 2012 at 2:56 am

    They fit so well with what youre trying to say. Im sure youll reach so many people with what youve got to say.

  4. Jason November 29, 2012 at 8:20 pm

    As we know that x is a prime number greater than 2, 1/x is definitely less than 1. So no matter what choice 1 and 2 are saying, we’ve got the answer. It’s d. Rather tricky!

  5. Akshara November 22, 2012 at 12:52 am

    Answer is: D

    Since n > 2, n can only be odd. Also for 1/x to be greater than 1, x should be a proper fraction.

    From statement 1 we know that x is a proper fraction since x^n < x1
    eg: If x = 1/2 and n = 3 ; x^n = 1/8; x^1/n = 1/1.41

    From statement 2 we know that x is a proper fraction again, therefore 1/x>1
    eg: x=1/2 and n = 3 ; x^(n-1) = 1/4 and x^(2n-2) = 1/16

  6. rohan November 21, 2012 at 12:48 pm

    ans: both 1 and 2 can answer the problem