Find all School-related info fast with the new School-Specific MBA Forum

It is currently 03 Aug 2015, 12:29
GMAT Club Tests

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If x, y, and z are integers greater than 1, and

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
1 KUDOS received
Senior Manager
Senior Manager
User avatar
Joined: 21 Jul 2009
Posts: 265
Location: New York, NY
Followers: 1

Kudos [?]: 61 [1] , given: 23

If x, y, and z are integers greater than 1, and [#permalink] New post 16 Oct 2009, 11:36
1
This post received
KUDOS
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 1 sessions
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If x, y, and z are integers greater than 1, and (3^27)(5^10)(z) = (5^8)(9^14)(x^y), then what is the value of x?

(1) y is prime

(2) x is prime
Manager
Manager
avatar
Joined: 11 Sep 2009
Posts: 129
Followers: 5

Kudos [?]: 237 [0], given: 6

Re: x, y and z [#permalink] New post 16 Oct 2009, 11:54
I believe the correct answer is B.

\((3^27)(5^10)(z) = (5^8)(9^14)(x^y)\)

\((3^27)(5^10)(z) = (5^8)(3^28)(x^y)\)

\((5^2)(z) = 3x^y\)

If x, y, and z are all integers, two conditions must be met:

a) x^y must be a multiple of 25, and
b) z must be a multiple of 3.

Statement 1: y is prime

x = 5, y = 2: x^y = 5^2 = 25
x = 25, y = 3: x^y = 25^3

Therefore, insufficient.

Statement 2: x is prime

For x^y to be a multiple of 25, x MUST BE a multiple of 5. Since x is given to be a prime number however, x must be 5, since all other multiples would consist of three or more factors. Therefore, sufficient.
Manager
Manager
avatar
Joined: 12 Oct 2009
Posts: 115
Followers: 2

Kudos [?]: 35 [0], given: 3

Re: x, y and z [#permalink] New post 16 Oct 2009, 12:01
will go with B as y is prime in option1 will not give a definite answer and x is prime give 5 as the only answer
Re: x, y and z   [#permalink] 16 Oct 2009, 12:01
Display posts from previous: Sort by

If x, y, and z are integers greater than 1, and

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.