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

It is currently 23 Sep 2014, 10:42

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

h(n) is the product of the even numbers from 2 to n,

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
avatar
Joined: 28 Aug 2006
Posts: 146
Followers: 2

Kudos [?]: 24 [0], given: 0

h(n) is the product of the even numbers from 2 to n, [#permalink] New post 14 Oct 2007, 18:17
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
h(n) is the product of the even numbers from 2 to n, inclusive, and p is the least prime factor of h(100) +1. What is the range of p?

Please explain.

Thanks a lot
Manager
Manager
User avatar
Joined: 23 Aug 2007
Posts: 136
Followers: 1

Kudos [?]: 8 [0], given: 0

Re: GPrep - PS ( What is the range of p?) [#permalink] New post 14 Oct 2007, 19:05
humtum0 wrote:
h(n) is the product of the even numbers from 2 to n, inclusive, and p is the least prime factor of h(100) +1. What is the range of p?

Please explain.

Thanks a lot


h(100) = 2^50 * 50!

Let's check the prime numbers. 2 is the factor of h(100), so it can not be the factor of h(100)+1. Same applies to 3,5,7,11,13,17,19,23,29,31,37,41,43 and 47. But we cannot say the same about 53, since 53 is not a factor of h(100). So at least p>47.
Manager
Manager
avatar
Joined: 25 Aug 2007
Posts: 70
Schools: HBS '10
Followers: 1

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

 [#permalink] New post 17 Oct 2007, 17:40
How did you get to 2*4*6...*98*100 = 2^50 * 50 ?
CEO
CEO
User avatar
Joined: 29 Mar 2007
Posts: 2593
Followers: 16

Kudos [?]: 190 [0], given: 0

GMAT Tests User
 [#permalink] New post 17 Oct 2007, 17:47
Big-O wrote:
How did you get to 2*4*6...*98*100 = 2^50 * 50 ?


originally its 2*4*6*8*10*12 etc...

you divide 2 by each of these u get

1*2*3*4*5*6*etc... since you have 50 even integers you get 50 two's or

2^50. then u gotta multiply 2^50*1*2*3*4*5*6....47*48*49*50.

Essentially u are dividing everything by 2 up to 100. U could write every number out but thats a waste of time.

u get 47 as the highest prime. so u know p>47.
  [#permalink] 17 Oct 2007, 17:47
    Similar topics Author Replies Last post
Similar
Topics:
7 Experts publish their posts in the topic x is the product of all even numbers from 2 to 50, inclusive hb 2 23 Jul 2013, 06:44
if n is a positive even integer and if function h(n) is the niharika 3 24 Aug 2008, 09:49
h(n) is product of all even integers 2 to n, inclusive. if P abhaypratapsingh 2 19 Jul 2008, 21:42
the function h(n) is defined to be product of all the laxieqv 8 10 Jan 2006, 22:34
lt;n> stands for the product of all even integers from 2 gamjatang 10 27 Oct 2005, 05:53
Display posts from previous: Sort by

h(n) is the product of the even numbers from 2 to n,

  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®.