It is currently 20 Oct 2017, 15:17

### 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

# 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
Joined: 21 Jul 2006
Posts: 1512

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

PS: Perfect Square [#permalink]

### Show Tags

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
Joined: 07 Nov 2007
Posts: 1792

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

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

### Show Tags

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
Joined: 21 Jul 2006
Posts: 1512

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

Re: PS: Perfect Square [#permalink]

### Show Tags

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

 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®.