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

It is currently 25 Jul 2014, 01:16

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 is the product of the integers from 1 to 30, inclusive,

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Senior Manager
Senior Manager
avatar
Joined: 18 Jun 2007
Posts: 299
Followers: 2

Kudos [?]: 15 [0], given: 0

GMAT Tests User
If p is the product of the integers from 1 to 30, inclusive, [#permalink] New post 28 Jun 2007, 12:04
If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3k is a factor of p?

A. 10
B. 12
C. 14
D. 16
E. 18
[/quote]
Director
Director
User avatar
Joined: 26 Feb 2006
Posts: 908
Followers: 3

Kudos [?]: 36 [0], given: 0

GMAT Tests User
Re: root problem [#permalink] New post 28 Jun 2007, 12:10
rishi2377 wrote:
If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3k is a factor of p?

A. 10
B. 12
C. 14
D. 16
E. 18



is 3k = 3^k? if so, k = 14.

C.
Senior Manager
Senior Manager
User avatar
Joined: 29 Nov 2006
Posts: 321
Location: Orange County, CA
Followers: 1

Kudos [?]: 18 [0], given: 0

GMAT Tests User
 [#permalink] New post 28 Jun 2007, 12:18
Quote:
rishi2377 wrote:
If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3k is a factor of p?

A. 10
B. 12
C. 14
D. 16
E. 18



is 3k = 3^k? if so, k = 14.

C.


Himalayan, let's assume 3k = 3^k. Can you explain how in the world you figured out it was 14???? :shock:
Manager
Manager
User avatar
Joined: 14 Mar 2007
Posts: 240
Followers: 1

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

GMAT Tests User
 [#permalink] New post 28 Jun 2007, 13:03
the number i got after multiplying 1 to 31:
8,222,838,654,177,920,000,000,000,000,000,000.00

so if we divide this number for:

3k if 3k is:

30 274,094,621,805,931,000,000,000,000,000,000.00
36 228,412,184,838,276,000,000,000,000,000,000.00
42 195,781,872,718,522,000,000,000,000,000,000.00
48 171,309,138,628,707,000,000,000,000,000,000.00
54 152,274,789,892,184,000,000,000,000,000,000.00

WE GET 18 AS ANSWER...

NOW , HOW CAN I DO THIS WITHOUT COMPUTER I DON'T KNOW :oops: :lol: :oops: :lol:
Manager
Manager
avatar
Joined: 23 Apr 2007
Posts: 130
Followers: 1

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

GMAT Tests User
Re: root problem [#permalink] New post 28 Jun 2007, 13:08
rishi2377 wrote:
If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3k is a factor of p?

A. 10
B. 12
C. 14
D. 16
E. 18
[/quote]

I go in for 'E'

P=30! (yes 30 factorial)
taking the given choices 3*18 is a factor of 30! and since 18 is the highest choice given thats the ans.
Senior Manager
Senior Manager
avatar
Joined: 11 Jun 2006
Posts: 254
Followers: 2

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

GMAT Tests User
 [#permalink] New post 28 Jun 2007, 13:21
Agree with the above.

3*18 is definitely a factor of 30!
Current Student
avatar
Joined: 28 Dec 2004
Posts: 3405
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 13

Kudos [?]: 150 [0], given: 2

GMAT Tests User
 [#permalink] New post 28 Jun 2007, 13:22
well..if the questions asks 3k..then K=18 would work ...

however, if the question asks 3^k, which is more interesting..then.. here is what we do..

question says if p=30!, and 3^k is a factor, what is the largest value of K that we can have..in other words whats the highest power of 3....if you are smart I already answered the question...if you are like me..here is what we do:

30/3 =10 3s...

but we have an additional 3 in 3^2; i.e 9, so 30/9=3 more 3s

and we have one more 3 in 3^3; i.e 27...=1 more 3...

so in all we have 10+3+1 =14 3s....

14 is the answer..
Senior Manager
Senior Manager
avatar
Joined: 18 Jun 2007
Posts: 299
Followers: 2

Kudos [?]: 15 [0], given: 0

GMAT Tests User
 [#permalink] New post 29 Jun 2007, 11:21
hello folks,

It was actually 3^k. Sorry, I should be more clear.this was my first post on this site and I will be more cautious in the future.

yup! answer is Actually C.

Thx for the help.
  [#permalink] 29 Jun 2007, 11:21
    Similar topics Author Replies Last post
Similar
Topics:
If p is the product of the integers from 1 to 30, inclusive, xang 3 01 Oct 2008, 19:56
If p is the product of the integers from 1 to 30, inclusive, jimmylow 3 17 Jul 2008, 01:55
If p is the product of the integers from 1 to 30, inclusive, mistahfold 2 17 Oct 2007, 00:53
If p is the product of the integers from 1 to 30, inclusive, mbassmbass04 6 01 Oct 2005, 05:16
If p is the product of the integers from 1 to 30, inclusive, Antmavel 6 16 Oct 2004, 05:56
Display posts from previous: Sort by

If p is the product of the integers from 1 to 30, inclusive,

  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®.