Find all School-related info fast with the new School-Specific MBA Forum
Learn more about the recent changes... close

It is currently 20 May 2013, 22:32
Customize  |  Hide

Search
Register
New posts
Unanswered

If P represents the product of the first 15 positive

  Question banks Downloads My Bookmarks Reviews  
  Oldest Best Reply
Search for:
 
Print view
First unread post
Author Message
TAGS:
VP
VP
Joined: 06 Jun 2004
Posts: 1068
Location: CA
Followers: 2

Kudos [?]: 12 [0], given: 0

GMAT Tests User
If P represents the product of the first 15 positive [#permalink] New post 17 Oct 2005, 17:23
00:00

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
If P represents the product of the first 15 positive integers, then P is NOT a multiple of

A. 99
B. 84
C. 72
D. 65
E. 57

Please explain your answer. Thanks!
VP
VP
User avatar
Joined: 22 Aug 2005
Posts: 1133
Location: CA
Followers: 1

Kudos [?]: 9 [0], given: 0

GMAT Tests User
 [#permalink] New post 17 Oct 2005, 17:28
E.
x = 1*2*3*4.....*15

factorise above in unique prime factorization.
x will be multiple of a number if its prime factorization has all the prime factors of the divisor.

E - 57 = 19 * 3
19 is not a factor of x. Therefore, 57 wont divide it(57 not a factor).
Senior Manager
Senior Manager
User avatar
Joined: 30 Oct 2004
Posts: 290
Followers: 1

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

GMAT Tests User
 [#permalink] New post 17 Oct 2005, 17:29
I think best approach is to break each answer into different factors less than equal to 15.. one with a factor greater than 15 is the odd one out...

A) 99 = 9*11 (both factors <15)
B) 84 = 12*7 (both factors less than 15)
C) 72 = 12 * 8
D) 65 = 13 * 5
E) 57 = 19 * 3 (19 is greater than 15)

Ans. E
_________________

-Vikram


Last edited by vikramm on 17 Oct 2005, 17:35, edited 1 time in total.
VP
VP
Joined: 27 Dec 2004
Posts: 1089
Followers: 1

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

GMAT Tests User
 [#permalink] New post 17 Oct 2005, 17:33
Ans is E.

factor 57 into primes 3 and 19
15! is not a multiple of 19
Director
Director
Joined: 21 Aug 2005
Posts: 803
Followers: 2

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

GMAT Tests User
 [#permalink] New post 17 Oct 2005, 17:34
Any number that cannot be expressed in terms of a product of numbers btw 1 to 15 (each # occuring only once) will not divide the product 1*2*...*15

A. 99 - 11*9
B. 84 - 2*6*7
C. 72 - 2*4*9
D. 65 - 5*13
E. 57 - 3*19
  [#permalink] 17 Oct 2005, 17:34
    Similar topics Author Replies Last post
Similar
Topics:
 Popular new posts EXPERTS_POSTS_IN_THIS_TOPIC Let P be the product of the first 10 positive integers. If Curly05 11 08 Jul 2003, 20:48
New posts If P represents the product of the first 15 positive wiseguy 2 01 Nov 2004, 20:16
New posts If P represents the product of the first 15 positive GMATT73 5 07 Oct 2005, 08:01
New posts The product of the first twelve positive integers is surbab 1 20 Apr 2007, 10:23
New posts 3 EXPERTS_POSTS_IN_THIS_TOPIC The positive integer q is divisible by 15. If the product of alchemist009 6 05 Jun 2012, 19:12
Display posts from previous: Sort by

If P represents the product of the first 15 positive

  Question banks Downloads My Bookmarks Reviews  
Print view
First unread post

Moderators: Bunuel, VeritasPrepKarishma, IanStewart

Search for:


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®.

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com