Challenge Problem Showdown – November 19, 2012

Tom Williams —  November 19, 2012 — 6 Comments

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
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Tom Williams


6 responses to Challenge Problem Showdown – November 19, 2012

  1. ans: both 1 and 2 can answer the problem

  2. 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

  3. 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!

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

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

  6. 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.

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