Join us for MBA Spotlight – The Top 20 MBA Fair      Schedule of Events | Register

 It is currently 05 Jun 2020, 10:20 ### 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.  # If n is an integer, which of the following cannot be odd?

Author Message
TAGS:

### Hide Tags

GMAT Club team member V
Status: GMAT Club Team Member
Affiliations: GMAT Club
Joined: 02 Nov 2016
Posts: 5975
GPA: 3.62
If n is an integer, which of the following cannot be odd?  [#permalink]

### Show Tags

1 00:00

Difficulty:   5% (low)

Question Stats: 100% (00:23) correct 0% (00:00) wrong based on 27 sessions

### HideShow 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. $$n^2$$

_________________
Senior Manager  G
Joined: 28 Jun 2019
Posts: 469
Re: If n is an integer, which of the following cannot be odd?  [#permalink]

### Show Tags

Each number, either odd or even multiples by 2, is even.
So option C cannot be odd

Posted from my mobile device
_________________
Always waiting
Board of Directors D
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 5021
Location: India
GPA: 3.5
Re: If n is an integer, which of the following cannot be odd?  [#permalink]

### Show Tags

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
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Math Expert V
Joined: 02 Sep 2009
Posts: 64314
Re: If n is an integer, which of the following cannot be odd?  [#permalink]

### Show Tags

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).

_________________
Math Expert V
Joined: 02 Sep 2009
Posts: 64314
Re: If n is an integer, which of the following cannot be odd?  [#permalink]

### Show Tags

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

_________________ Re: If n is an integer, which of the following cannot be odd?   [#permalink] 04 Oct 2019, 00:44

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