It is currently 18 Nov 2017, 03:48

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

What is the product of all positive odd integers less than 1

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

2 KUDOS received
Director
Director
avatar
Joined: 29 Nov 2012
Posts: 866

Kudos [?]: 1451 [2], given: 543

What is the product of all positive odd integers less than 1 [#permalink]

Show Tags

New post 05 Oct 2013, 02:36
2
This post received
KUDOS
6
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

63% (01:05) correct 37% (02:01) wrong based on 115 sessions

HideShow timer Statistics

What is the product of all positive odd integers less than 10000?

A. \(\frac{10000!}{{(5000!)^2}}\)

B. \(\frac{10000!}{2^{5000}}\)

C. \(\frac{9999!}{2^{5000}}\)

D. \(\frac{10000!}{2^{5000}. 5000!}\)

E. \(\frac{5000!}{2^{5000}}\)
[Reveal] Spoiler: OA

_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios http://gmatclub.com/forum/gmat-prep-software-analysis-and-what-if-scenarios-146146.html


Last edited by Bunuel on 05 Oct 2013, 04:41, edited 1 time in total.
Edited the question.

Kudos [?]: 1451 [2], given: 543

3 KUDOS received
Intern
Intern
User avatar
Joined: 14 Aug 2013
Posts: 35

Kudos [?]: 93 [3], given: 4

Location: United States
Concentration: Finance, Strategy
GMAT Date: 10-31-2013
GPA: 3.2
WE: Consulting (Consumer Electronics)
GMAT ToolKit User
Re: What is the product of all positive odd integers less than 1 [#permalink]

Show Tags

New post 05 Oct 2013, 02:53
3
This post received
KUDOS
1
This post was
BOOKMARKED
fozzzy wrote:
What is the product of all positive odd integers less than 10000?

A) \(\frac{10000!}{{(5000!)^2}}\)
B) \(\frac{10000!}{2^{5000}}\)
C) \(\frac{9999!}{2^{5000}}\)
D) \(\frac{10000!}{2^{5000}. 5000!}\)
E) \(\frac{5000!}{2^{5000}}\)


Product of all odd positive integers less than 10000 is 1*3*5*7.......*9999

which can be written as (1*2*3*4.....10000)/2*4*6*...*10000

where as 2*4*6*...*10000=(2^5000)(1*2*3*....*5000)...since 2 is taken as common from 2,4,6,8,..10000 which has 5000 terms

given equation becomes (1*2*3*4*....*10000)/(2^5000)(1*2*3*....*5000)

=>10000!/(2^5000)(5000!)

Ans D...Hope my logic is right

Kudos [?]: 93 [3], given: 4

Manager
Manager
avatar
Joined: 26 Apr 2013
Posts: 50

Kudos [?]: 119 [0], given: 2

Location: United States
Concentration: Marketing, Nonprofit
GPA: 3.5
WE: Marketing (Telecommunications)
GMAT ToolKit User
Re: What is the product of all positive odd integers less than 1 [#permalink]

Show Tags

New post 05 Oct 2013, 04:17
fozzzy wrote:
What is the product of all positive odd integers less than 10000?

A) \(\frac{10000!}{{(5000!)^2}}\)
B) \(\frac{10000!}{2^{5000}}\)
C) \(\frac{9999!}{2^{5000}}\)
D) \(\frac{10000!}{2^{5000}. 5000!}\)
E) \(\frac{5000!}{2^{5000}}\)


Product of all odd integers less than 10,000= product of all integers less than 10,000/product of even integer less than 10,000=10,000!/2^5000(5000!)

Product of even integer=2*4*6*8…..10,000=2^5000(1*2*3*4……5000)=2^5000(5000!)


So the answer is D.

Kudos [?]: 119 [0], given: 2

5 KUDOS received
Director
Director
avatar
Joined: 29 Nov 2012
Posts: 866

Kudos [?]: 1451 [5], given: 543

Re: What is the product of all positive odd integers less than 1 [#permalink]

Show Tags

New post 07 Oct 2013, 01:16
5
This post received
KUDOS
You can always test this concept on smaller numbers the same applies to larger numbers ...

If you have to find the product of all odd integers from 1 to 10 inclusive

The normal way would be 1*3*5*7*9 = 945

Since the answer choices in this option are in factorials

For the smaller example would be\(\frac{10!}{2*4*6*8*10}\)

\(\frac{10!}{2^5 ( 1*2*3*4*5)}\) = 945
_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios http://gmatclub.com/forum/gmat-prep-software-analysis-and-what-if-scenarios-146146.html

Kudos [?]: 1451 [5], given: 543

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 15697

Kudos [?]: 281 [0], given: 0

Premium Member
Re: What is the product of all positive odd integers less than 1 [#permalink]

Show Tags

New post 16 Oct 2017, 10:38
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 281 [0], given: 0

Re: What is the product of all positive odd integers less than 1   [#permalink] 16 Oct 2017, 10:38
Display posts from previous: Sort by

What is the product of all positive odd integers less than 1

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

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®.