NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 06:58 It is currently 26 Apr 2024, 06:58
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

If n is an integer, which of the following cannot be odd?

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Sajjad1994
GRE Forum Moderator
Joined: 02 Nov 2016
Posts: 13961
Own Kudos [?]: 32938 [1]
Given Kudos: 5778
GPA: 3.62
Send PM
CAT Tests Forum Quiz Mode
If n is an integer, which of the following cannot be odd? [#permalink] New post   11 Aug 2019, 05:23
1
Kudos
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

100% (00:25) correct 0% (00:00) wrong based on 37 sessions
Hide Show timer Statistics
If \(n\) is an integer, which of the following cannot be odd?

A. \(n+2\)

B. \(n+3\)

C. \(2n\)

D. \(3n\)

E. \(n^2\)
ShowHide Answer
Official Answer
C
User avatar
G
Mohammadmo
Senior Manager
Senior Manager
Joined: 29 Jun 2019
Posts: 358
Own Kudos [?]: 215 [0]
Given Kudos: 16
Send PM
Re: If n is an integer, which of the following cannot be odd? [#permalink] New post   11 Aug 2019, 07:02
Each number, either odd or even multiples by 2, is even.
So option C cannot be odd

Posted from my mobile device
User avatar
L
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6072
Own Kudos [?]: 4690 [0]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
GMAT ToolKit User
Re: If n is an integer, which of the following cannot be odd? [#permalink] New post   11 Aug 2019, 11:44
SajjadAhmad wrote:
If \(n\) is an integer, which of the following cannot be odd?

A. \(n+2\)

B. \(n+3\)

C. \(2n\)

D. \(3n\)

E. \(n^2\)


2*Odd Number = Even Number
2*Even Number = Even Number...

Thus, Answer must be (C) 2n
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92933
Own Kudos [?]: 619173 [0]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
Re: If n is an integer, which of the following cannot be odd? [#permalink] New post   04 Oct 2019, 01:43
Expert Reply
SajjadAhmad wrote:
If \(n\) is an integer, which of the following cannot be odd?

A. \(n+2\)

B. \(n+3\)

C. \(2n\)

D. \(3n\)

E. \(n^2\)


Official Explanation



The mathematical definition of even and odd is that even numbers are divisible by 2, while odd numbers are not divisible by 2. Therefore, we can see that answer choice (C) cannot be odd. Dividing 2n by 2 will yield n, and we know n is an integer. Therefore, 2n cannot be odd.

An alternate way to solve this question is to analyze by cases. When looking at a specific answer choice, if you can pick a legal value of n so that it is odd, then it can be odd, and you know that it's not the correct answer to the question. In this fashion, you can eliminate all the answer choices other than (C).

The correct answer is (C).
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92933
Own Kudos [?]: 619173 [0]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
Re: If n is an integer, which of the following cannot be odd? [#permalink] New post   04 Oct 2019, 01:44
Expert Reply
SajjadAhmad wrote:
If \(n\) is an integer, which of the following cannot be odd?

A. \(n+2\)

B. \(n+3\)

C. \(2n\)

D. \(3n\)

E. \(n^2\)


Video Explanation



GMAT Club Bot
gmatclubot
Re: If n is an integer, which of the following cannot be odd? [#permalink]
04 Oct 2019, 01:44
Moderators:
Bunuel
Math Expert
92933 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions