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

 It is currently 03 May 2015, 16:57

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:
Intern
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]  17 Oct 2009, 05:57
00:00

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.

Kusum.
Senior Manager
Joined: 31 Aug 2009
Posts: 421
Location: Sydney, Australia
Followers: 6

Kudos [?]: 142 [0], given: 20

Re: DS Question. [#permalink]  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 Replies Last post
Similar
Topics:
If the integers a and n are greater than 1 and the product 5 14 May 2008, 07:26
If the integers a and n are greater than 1 and the product 5 09 Mar 2008, 01:00
10 If the integers a and n are greater than 1 and the product 20 19 Jan 2008, 14:04
If the integer a and n are greater than 1 and the product of 5 12 Mar 2007, 05:11
If the integers a and n are greater than 1 and the product 3 11 Nov 2006, 15:54
Display posts from previous: Sort by