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

It is currently 20 Aug 2014, 11:14

Flash Sale:

The Economist GMAT Tutor - 15% Off All Courses


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 p, s, and t are positive prime numbers, what is the value

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Director
Director
avatar
Joined: 12 Oct 2008
Posts: 558
Followers: 2

Kudos [?]: 56 [0], given: 2

GMAT Tests User
if p, s, and t are positive prime numbers, what is the value [#permalink] New post 10 May 2009, 21:09
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

100% (01:32) correct 0% (00:00) wrong based on 2 sessions
if p, s, and t are positive prime numbers, what is the value of p^3s^3t^3?
(1) p^3st=728
(2) t=13
Director
Director
User avatar
Joined: 27 Jun 2008
Posts: 549
WE 1: Investment Banking - 6yrs
Followers: 1

Kudos [?]: 45 [0], given: 92

GMAT Tests User
Re: DS: Prime numbers [#permalink] New post 11 May 2009, 02:56
reply2spg wrote:
if p, s, and t are positive prime numbers, what is the value of p^3s^3t^3?
(1) p^3st=728
(2) t=13


(1) 728 = 2*2*2*7*13, so we know p=2, s=7or13, t=13or7. The values for s & t doesn't really matter because we need to find the value of (p*s*t)^3. So, its (2*7*13)^3
Suff
(2) nothing about s * t
Insuff

A
Senior Manager
Senior Manager
avatar
Joined: 16 Apr 2009
Posts: 251
Schools: Ross
Followers: 1

Kudos [?]: 20 [0], given: 10

GMAT Tests User
Re: DS: Prime numbers [#permalink] New post 11 May 2009, 09:57
if p, s, and t are positive prime numbers, what is the value of p^3s^3t^3?
(1) p^3st=728
(2) t=13

Stat(1)
p^3st=728
728=2*2*2*7*13

Therefore suff

Stat(2)
t=13
but we don't know either s or p value so insuff

Hence A
_________________

Keep trying no matter how hard it seems, it will get easier.

1 KUDOS received
Manager
Manager
User avatar
Joined: 13 May 2009
Posts: 195
Schools: Stanford, Harvard, Berkeley, INSEAD
Followers: 4

Kudos [?]: 27 [1] , given: 1

GMAT Tests User
Re: DS: Prime numbers [#permalink] New post 14 May 2009, 13:11
1
This post received
KUDOS
reply2spg wrote:
If p, s, and t are positive prime numbers, what is the value of p^3s^3t^3?
(1) p^3st=728
(2) t=13


Question:(p^3s^3t^3)?
Question:( (pst)^3 )?

(1) p^3*s*t=728
Factorize 728
728 = 2(364)=2(2)(182)=2(2)(2)(91)=2^3(7)(13)

So, p^3st=2^3(7)(13)
This gives us that p=2, and s=7,t=13 or s=13,t=7.
But in either case it doesn't matter, because the order in which we multiply the primes has no effect on the answer. For example, (2)(7)(13) = (2)(13)(7)), yes? So ((2)(7)(13))^3 = ((2)(13)(7))^3 as well.

Sufficient.

(2) By itself this is insufficient as it tells us nothing about p or s.

Final Answer, A.
_________________

Hades

Re: DS: Prime numbers   [#permalink] 14 May 2009, 13:11
    Similar topics Author Replies Last post
Similar
Topics:
4 Experts publish their posts in the topic If p is a prime number, what is the value of p ? (1) \sqrt Bunuel 15 03 Oct 2010, 09:30
2 Experts publish their posts in the topic If p, s, and t are positive prime numbers, what is the value vaivish1723 7 22 Jan 2010, 23:18
if p, s, and t are positive prime numbers, what is the value sset009 3 10 Aug 2008, 01:25
If p,s, and t are positive prime numbers, what is the value puma 5 04 Jun 2008, 12:19
I. If p is a prime number greater than 2, what is the value priyankur_saha@ml.com 9 10 Jun 2007, 17:44
Display posts from previous: Sort by

if p, s, and t are positive prime numbers, what is the value

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

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®.