It is currently 22 Nov 2017, 02:37

### 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

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

# 2^P)*(3^Q) is the greatest positive divisor of 7!*8!/9!.

Author Message
Senior Manager
Joined: 30 Aug 2003
Posts: 318

Kudos [?]: 29 [0], given: 0

Location: dallas , tx
2^P)*(3^Q) is the greatest positive divisor of 7!*8!/9!. [#permalink]

### Show Tags

16 Jan 2004, 10:54
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

2^P)*(3^Q) is the greatest positive divisor of 7!*8!/9!. Find the product PQ.
_________________

shubhangi

Kudos [?]: 29 [0], given: 0

Senior Manager
Joined: 30 Aug 2003
Posts: 318

Kudos [?]: 29 [0], given: 0

Location: dallas , tx

### Show Tags

16 Jan 2004, 11:29
working?
_________________

shubhangi

Kudos [?]: 29 [0], given: 0

Director
Joined: 28 Oct 2003
Posts: 501

Kudos [?]: 34 [0], given: 0

Location: 55405

### Show Tags

16 Jan 2004, 12:20
2^P)*(3^Q) is the greatest positive divisor of 7!*8!/9!.

7!*8!/9!=

1*2*3*4*5*6*7/9

1*2*3*2*2*5*2*3*7/3*3

1*2*2*2*5*2*7/1

2^4, 3^0

4

Kudos [?]: 34 [0], given: 0

GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4284

Kudos [?]: 537 [0], given: 0

### Show Tags

16 Jan 2004, 12:28
Agree with you Stoolfi. I also got p=4 q=0. Just a slight detail about the question asking for the product of PQ, not the sum. So answer should be 0?
_________________

Best Regards,

Paul

Kudos [?]: 537 [0], given: 0

Director
Joined: 28 Oct 2003
Posts: 501

Kudos [?]: 34 [0], given: 0

Location: 55405

### Show Tags

16 Jan 2004, 12:33
I think you are right, Paul...

Kudos [?]: 34 [0], given: 0

16 Jan 2004, 12:33
Display posts from previous: Sort by

# 2^P)*(3^Q) is the greatest positive divisor of 7!*8!/9!.

Moderator: chetan2u

 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®.