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

It is currently 16 Sep 2014, 09:46

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 the integers a and n are greater than 1 and the product

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
VP
VP
avatar
Joined: 22 Nov 2007
Posts: 1102
Followers: 6

Kudos [?]: 124 [0], given: 0

GMAT Tests User
If the integers a and n are greater than 1 and the product [#permalink] New post 09 Mar 2008, 01:00
If the integers a and n are greater than 1 and the product of the first 8 positive
integers is a multiple of a^n, what is the value of a?

1) a^n = 64
2) n = 6
Senior Manager
Senior Manager
User avatar
Joined: 20 Dec 2004
Posts: 258
Followers: 6

Kudos [?]: 67 [0], given: 0

GMAT Tests User
Re: exponents and integers [#permalink] New post 09 Mar 2008, 06:35
From St-1: a^n*K = 8!. a can be anything 2,3,4 given a value of n. Basically 2 degrees of freedom.

From St-2: a^6*K = 8! -> a can only be 2.

So B.
_________________

Stay Hungry, Stay Foolish

Current Student
avatar
Joined: 28 Dec 2004
Posts: 3405
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 13

Kudos [?]: 159 [0], given: 2

GMAT Tests User
Re: exponents and integers [#permalink] New post 09 Mar 2008, 10:27
yes, I agree with B as well

we need to find the number that has the most number of factors in 8!, it is only 2..and thus n=6
Current Student
avatar
Joined: 28 Dec 2004
Posts: 3405
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 13

Kudos [?]: 159 [0], given: 2

GMAT Tests User
Re: exponents and integers [#permalink] New post 09 Mar 2008, 10:49
GMAT TIGER wrote:
neelesh wrote:
From St-1: a^n*K = 8!. a can be anything 2,3,4 given a value of n. Basically 2 degrees of freedom.

From St-2: a^6*K = 8! -> a can only be 2.

So B.

how is a =3?


in statment 1) a can only be 1, 2 and 64 etc but yes not 3..or 5 or 7..
SVP
SVP
avatar
Joined: 28 Dec 2005
Posts: 1593
Followers: 2

Kudos [?]: 73 [0], given: 2

GMAT Tests User
Re: exponents and integers [#permalink] New post 09 Mar 2008, 12:36
how can we quickly tell that 8! will be divisible by 64 ?
CEO
CEO
User avatar
Joined: 29 Aug 2007
Posts: 2501
Followers: 53

Kudos [?]: 505 [0], given: 19

GMAT Tests User
Re: exponents and integers [#permalink] New post 09 Mar 2008, 20:52
pmenon wrote:
how can we quickly tell that 8! will be divisible by 64 ?


8! = 1x2x3x4x5x6x7x8
8! = 1x2x3x2x2x5x2x3x7x2x2x2

8! has altogather seven 2s.
64 = 2x2x2x2x2x2
64 has 6 2s.

so 8!/64 = 2^7 x 3^2 x 5 x 7 / 2^6 = 2 x 3^2 x 5 x 7 = 630
_________________

Verbal: new-to-the-verbal-forum-please-read-this-first-77546.html
Math: new-to-the-math-forum-please-read-this-first-77764.html
Gmat: everything-you-need-to-prepare-for-the-gmat-revised-77983.html


GT

Re: exponents and integers   [#permalink] 09 Mar 2008, 20:52
    Similar topics Author Replies Last post
Similar
Topics:
6 Experts publish their posts in the topic If the integers a and n are greater than 1 and the product dominion 18 19 Jan 2008, 14:04
If the integers a and n are greater than 1 and the product briks123 8 10 Jul 2007, 17:28
If the integer a and n are greater than 1 and the product of SimaQ 5 12 Mar 2007, 05:11
If the integers a and n are greater than 1 and the product artshep 3 11 Nov 2006, 15:54
3 Experts publish their posts in the topic If the integers a and n are greater than 1 and the product o FN 11 11 Oct 2005, 17:01
Display posts from previous: Sort by

If the integers a and n are greater than 1 and the product

  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®.