It is currently 20 Oct 2017, 15:17

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

PS: Perfect Square

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

SVP
SVP
avatar
Joined: 21 Jul 2006
Posts: 1512

Kudos [?]: 1008 [0], given: 1

PS: Perfect Square [#permalink]

Show Tags

New post 17 Sep 2008, 04:17
If \(x\) is a perfect square and \(x=(p^a)(q^b)(r^c)(s^d)\), are prime numbers \(p\), \(q\), \(r\), and \(s\) distinct?

(1) 18 is a factor of \(ab\) and \(cd\)

(2) 4 is not a factor of \(ab\) and \(cd\)





Please explain your answer.
Thanks

Kudos [?]: 1008 [0], given: 1

SVP
SVP
User avatar
Joined: 07 Nov 2007
Posts: 1792

Kudos [?]: 1062 [0], given: 5

Location: New York
Re: PS: Perfect Square [#permalink]

Show Tags

New post 17 Sep 2008, 07:01
tarek99 wrote:
If \(x\) is a perfect square and \(x=(p^a)(q^b)(r^c)(s^d)\), are prime numbers \(p\), \(q\), \(r\), and \(s\) distinct?

(1) 18 is a factor of \(ab\) and \(cd\)

(2) 4 is not a factor of \(ab\) and \(cd\)


Please explain your answer.
Thanks



1)

when a=2k b=2l c=2m d=2n ..

if all a , b, c, d are multiple of 2 then clearly.. p,q,r,s can be distinct or not.

ab=18*i = say i=2
ab=cd= 2*k 2*l = 18*2 =
insuffcient

2)
when a=2k b=l c=2m d=n ..
here b and n not multiple of 2..

So.. q, s must be same to make l+n= multiple of 2.

They are not distinct.

B
_________________

Your attitude determines your altitude
Smiling wins more friends than frowning

Kudos [?]: 1062 [0], given: 5

SVP
SVP
avatar
Joined: 21 Jul 2006
Posts: 1512

Kudos [?]: 1008 [0], given: 1

Re: PS: Perfect Square [#permalink]

Show Tags

New post 17 Sep 2008, 18:25
x2suresh wrote:
tarek99 wrote:
If \(x\) is a perfect square and \(x=(p^a)(q^b)(r^c)(s^d)\), are prime numbers \(p\), \(q\), \(r\), and \(s\) distinct?

(1) 18 is a factor of \(ab\) and \(cd\)

(2) 4 is not a factor of \(ab\) and \(cd\)


Please explain your answer.
Thanks



1)

when a=2k b=2l c=2m d=2n ..

if all a , b, c, d are multiple of 2 then clearly.. p,q,r,s can be distinct or not.

ab=18*i = say i=2
ab=cd= 2*k 2*l = 18*2 =
insuffcient

2)
when a=2k b=l c=2m d=n ..
here b and n not multiple of 2..

So.. q, s must be same to make l+n= multiple of 2.

They are not distinct.

B



OA is B. Thanks a lot!

Kudos [?]: 1008 [0], given: 1

Re: PS: Perfect Square   [#permalink] 17 Sep 2008, 18:25
Display posts from previous: Sort by

PS: Perfect Square

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Moderator: EMPOWERgmatRichC



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

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

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®.