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

It is currently 17 Sep 2014, 14:06

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

Integers a and n are greater than 1, and the product of the

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Intern
Intern
avatar
Joined: 15 Sep 2009
Posts: 12
Followers: 0

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

Integers a and n are greater than 1, and the product of the [#permalink] New post 17 Oct 2009, 05:57
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 2 sessions
Could anyone help me solve this one?
Integers a and n are greater than 1, and the product of the 1st 8 positive integers is a multiple of a^n. What is the value of a?

A) a^n = 64.
B) n = 6.

The answer was b. I'm confused, particularly since it says: the product of the 1st 8 positive integers, but it does not say what sequence the first 8 integers relates to.

Thanks in advance,

Kusum.
Senior Manager
Senior Manager
avatar
Joined: 31 Aug 2009
Posts: 422
Location: Sydney, Australia
Followers: 6

Kudos [?]: 108 [0], given: 20

GMAT Tests User
Re: DS Question. [#permalink] New post 17 Oct 2009, 07:22
The first 8 positive integers multiplied means 1x2x3x4x5x6x7x8
This equals 2^7*3^2*5*7. For simplicity lets call this number X.
So the question stem says the above number is a multiple of a^n.

Statement 1)
a^n = 64
64 can be 2^6 or 4^3. Both of these are factors of the first X (as they are the same number).
The question asks what is a. A could be both 2 or 4.
Not sufficient.

Statement 2)
This says n=6. If you look at X, the only possible exponent that could be a factor of X is 2^6. This means a=2. The other prime factors to the power of 6 cannot possibly be factors.

Hence ANS = B. Hope that helps.
Re: DS Question.   [#permalink] 17 Oct 2009, 07:22
    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

Integers a and n are greater than 1, and the product of the

  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®.