## Challenge Problem Showdown

Manhattan GMAT invites you to test your GMAT knowledge for a chance to win!

Each month, we will post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that monthâ€™s drawing for a free Manhattan GMAT Prep item. Tell your friends to get out their scrap paper and start solving!

Note We email the winner directly every month, and provided we then receive consent from the winner we post his or her name on our Facebook Fan Page .

Good luck! These are tough problems!

#### This Month's Problem: "Factors of 2 and 3"

Set

Sconsists ofnconsecutive positive integers, each less than 25. Ifn> 3, what is the value ofn?

(1) The number of factors of 2 contained in setSis equal to the number of factors of 3 contained in setS.

(2)nis odd.