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

It is currently 18 Apr 2014, 23:29

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:
Manager
Manager
User avatar
Joined: 04 Jan 2008
Posts: 120
Followers: 2

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

If p is the product of the integers from 1 to 30, inclusive, [#permalink] New post 05 Sep 2008, 23:24
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

0% (00:00) correct 100% (01:06) wrong based on 1 sessions
If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of p?

(A) 10
(B) 12
(C) 14
(D) 16
(E) 18
Director
Director
Joined: 23 Sep 2007
Posts: 799
Followers: 5

Kudos [?]: 70 [0], given: 0

GMAT Tests User
Re: Zumit PS 001 [#permalink] New post 05 Sep 2008, 23:36
dancinggeometry wrote:
If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of p?

(A) 10
(B) 12
(C) 14
(D) 16
(E) 18


C

the product of the integers from 1 to 30, inclusive, contains 3^14 as a factor.
Manager
Manager
Joined: 11 Apr 2008
Posts: 202
Followers: 2

Kudos [?]: 15 [0], given: 1

GMAT Tests User
Re: Zumit PS 001 [#permalink] New post 06 Sep 2008, 16:49
It is the total number of 3 content in 30! which is 14
_________________

Nobody dies a virgin, life screws us all.

Manager
Manager
User avatar
Joined: 04 Jan 2008
Posts: 120
Followers: 2

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

Re: Zumit PS 001 [#permalink] New post 06 Sep 2008, 22:24
OA is C. Bin 2 problem.
SVP
SVP
User avatar
Joined: 07 Nov 2007
Posts: 1833
Location: New York
Followers: 23

Kudos [?]: 390 [0], given: 5

GMAT Tests User
Re: Zumit PS 001 [#permalink] New post 08 Sep 2008, 09:28
dancinggeometry wrote:
If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of p?

(A) 10
(B) 12
(C) 14
(D) 16
(E) 18


30/3 + 30/3^2 (nearest integer < this value )+30/3^3(nearest integer < this value)
= 10+3+1=14
_________________

Your attitude determines your altitude
Smiling wins more friends than frowning

SVP
SVP
User avatar
Joined: 07 Nov 2007
Posts: 1833
Location: New York
Followers: 23

Kudos [?]: 390 [0], given: 5

GMAT Tests User
Re: Zumit PS 001 [#permalink] New post 09 Sep 2008, 02:26
scthakur wrote:
x2suresh wrote:
dancinggeometry wrote:
If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of p?

(A) 10
(B) 12
(C) 14
(D) 16
(E) 18


30/3 + 30/3^2 (nearest integer < this value )+30/3^3(nearest integer < this value)= 10+3+1=14


What is the logic behind this?



30/3 = 10 (there are 10 numbers which are divisible by 3 .. ( 3,6,9,12,15,18,21,24,27,30)
but, in the above we are missing.. additional threes in 9 =3^2,18=2*3^3,27=3*3^2
to count the second threes that are missing.
30/3^3 =3.33~=3
still we are missing third three in 27 (3^3)
similarly
30/3^3 = 1.11~=1 this will givie the third three from 27

If p is the product of the integers from 1 to 90, inclusive, what is the greatest integer k for which 3^k is a factor of p?

90/3=30
90/9=10
90/27=10/3=3.3~3
90/81=10/9=1.1~1

k=30+10+3+1=45
_________________

Your attitude determines your altitude
Smiling wins more friends than frowning

Re: Zumit PS 001   [#permalink] 09 Sep 2008, 02:26
    Similar topics Author Replies Last post
Similar
Topics:
New posts If p is the product of the integers from 1 to 30, inclusive, Antmavel 6 16 Oct 2004, 05:56
New posts If p is the product of the integers from 1 to 30, inclusive, mbassmbass04 6 01 Oct 2005, 05:16
New posts If p is the product of the integers from 1 to 30, inclusive, nakib77 4 11 Nov 2005, 04:22
New posts If p is the product of the integers from 1 to 30, inclusive, sperumba 7 15 Jan 2006, 10:00
New posts If p is the product of the integers from 1 to 30, inclusive, rishi2377 7 28 Jun 2007, 12:04
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  


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®.