Last visit was: 24 Jul 2024, 13:47 It is currently 24 Jul 2024, 13:47
Toolkit
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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

# What is the LCM of n C1 and n C2, where n is odd?

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 94609
Own Kudos [?]: 643626 [8]
Given Kudos: 86737
Manager
Joined: 18 Jun 2010
Posts: 83
Own Kudos [?]: 86 [1]
Given Kudos: 28
Intern
Joined: 05 May 2021
Posts: 8
Own Kudos [?]: 3 [0]
Given Kudos: 60
Intern
Joined: 27 Apr 2021
Posts: 12
Own Kudos [?]: 0 [0]
Given Kudos: 5
Location: India
GMAT 1: 710 Q49 V38
GPA: 3.12
Re: What is the LCM of n C1 and n C2, where n is odd? [#permalink]
Answer should be B substitute 3 5 and 7 to find out.
Intern
Joined: 02 Apr 2021
Posts: 3
Own Kudos [?]: 0 [0]
Given Kudos: 0
Re: What is the LCM of n C1 and n C2, where n is odd? [#permalink]
nC1=n!/(n-1)!=n
nC2=n!/(2*(n-2)!)=n*(n-1)/2

(A): n/nC1= n/n=1 OK
n/nC2=2(n-1), and since n is odd integer greater than 2, n>3. 2/(3-1)=1, 2/(5-1)=1/2 NOT OK.

(B) n(n-1)/2/nC1=(n-1)/2 OK
n(n-1)/2/nC2=1 OK

(C) doesn't work

(D) doesn't work

(E) doesn't work
Manager
Joined: 03 Sep 2018
Posts: 97
Own Kudos [?]: 25 [0]
Given Kudos: 301
Location: India
GMAT 1: 750 Q49 V42
Re: What is the LCM of n C1 and n C2, where n is odd? [#permalink]
nC1= n and nC2=n(n - 1)/2
We see that nC2 is a multiple of nC1.
The LCM of two numbers where one is the multiple of the other, is the larger number.
For eg: The LCM of 12 and 48 is 48.
We know that (n - 1)/2 is greater than 1 as n is greater than 2. Therefore, n(n - 1)/2 is greater than n and hence the answer.
Non-Human User
Joined: 09 Sep 2013
Posts: 34075
Own Kudos [?]: 853 [0]
Given Kudos: 0
Re: What is the LCM of n C1 and n C2, where n is odd? [#permalink]
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.
Re: What is the LCM of n C1 and n C2, where n is odd? [#permalink]
Moderator:
Math Expert
94609 posts