NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 13:46 It is currently 24 Apr 2024, 13:46
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, is n even?

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
B
NoHalfMeasures
Retired Moderator
Joined: 29 Oct 2013
Posts: 220
Own Kudos [?]: 2005 [4]
Given Kudos: 204
Concentration: Finance
GPA: 3.7
WE:Corporate Finance (Retail Banking)
Send PM
GMAT ToolKit User
If n is an integer, is n even? [#permalink] New post   10 Aug 2014, 12:22
1
Kudos
3
Bookmarks
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

89% (00:45) correct 11% (00:53) wrong based on 406 sessions
Hide Show timer Statistics
If n is an integer, is n even?

(1) 2n is divisible by 4
(2) n^2 is even
ShowHide Answer
Official Answer
D
User avatar
B
oss198
Manager
Manager
Joined: 18 Jul 2013
Posts: 69
Own Kudos [?]: 359 [1]
Given Kudos: 120
Location: Italy
Schools: LBS '21 Insead Sept19 Intake (A) IESE '21 (A$)
GMAT 1: 600 Q42 V31
GMAT 2: 700 Q48 V38
GPA: 3.75
Send PM
Re: If n is an integer, is n even? [#permalink] New post   10 Aug 2014, 12:47
1
Bookmarks
(1) \(2n\) divisible by 4 means that n contains at least one 2 as a factor. Therefore the statement is sufficient.

(2)
odd*odd = odd
even*even = even

as \(n^2\) is even, n must be even. Sufficient.

Answer D.
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92902
Own Kudos [?]: 618803 [2]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
Re: If n is an integer, is n even? [#permalink] New post   12 Aug 2014, 07:58
1
Kudos
1
Bookmarks
Expert Reply
If n is an integer, is n even?

(1) 2n is divisible by 4 --> 2n = 4k --> n = 2k = even. Sufficient.

(2) n^2 is even --> since n is an integer, then n^2 can be even only if n is even. Sufficient.

Answer: D.
avatar
Infxel
Intern
Intern
Joined: 20 Jun 2014
Posts: 11
Own Kudos [?]: 16 [0]
Given Kudos: 2
Schools: Insead July'17 (A) LBS '18 (WL) IE April '17 (A$)
GPA: 3.62
WE:Information Technology (Computer Hardware)
Send PM
Re: If n is an integer, is n even? [#permalink] New post   27 Jan 2015, 14:54
If n is an integer, is n even?

(1) 2n is divisible by 4
(2) n^2 is even

Hello Bunuel, I got confused when I was solving this question. First let's agree on a couple of points, 0 is an integer, 0 is neither even nor odd, & 0 is divisible by everything.

So when I look at the first statement it says 2n is divisible by 4, what if n=0, this statement would still be correct, however 0 is neither even nor odd, so how is statement one sufficient on it's own.

Regards,
YA
User avatar
L
EMPOWERgmatRichC
GMAT Club Legend
GMAT Club Legend
Joined: 19 Dec 2014
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Posts: 21846
Own Kudos [?]: 11665 [1]
Given Kudos: 450
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Send PM
Re: If n is an integer, is n even? [#permalink] New post   27 Jan 2015, 20:04
1
Kudos
Expert Reply
Hi youssefhabouseif,

0 IS an EVEN integer, by definition. Here's why:

On a number line, consecutive integers fall into the pattern....even....odd.....even....odd.....even....odd....etc.

-2 = even
-1 = odd
0 = even
1 = odd
2 = even
Etc.

Knowing that 0 IS EVEN, you likely would have picked the correct answer, but it's important to keep this rule in mind - you'll likely use it on Test Day at least once.

GMAT assassins aren't born, they're made,
Rich
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92902
Own Kudos [?]: 618803 [1]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
Re: If n is an integer, is n even? [#permalink] New post   28 Jan 2015, 01:47
1
Kudos
Expert Reply
youssefhabouseif wrote:
If n is an integer, is n even?

(1) 2n is divisible by 4
(2) n^2 is even

Hello Bunuel, I got confused when I was solving this question. First let's agree on a couple of points, 0 is an integer, 0 is neither even nor odd, & 0 is divisible by everything.

So when I look at the first statement it says 2n is divisible by 4, what if n=0, this statement would still be correct, however 0 is neither even nor odd, so how is statement one sufficient on it's own.

Regards,
YA


ZERO:

1. 0 is an integer.

2. 0 is an even integer. An even number is an integer that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder and as zero is evenly divisible by 2 then it must be even.

3. 0 is neither positive nor negative integer (the only one of this kind).

4. 0 is divisible by EVERY integer except 0 itself.

Check more here: tips-and-hints-for-specific-quant-topics-with-examples-172096.html#p1371030
User avatar
D
stonecold
Alum
Joined: 12 Aug 2015
Posts: 2282
Own Kudos [?]: 3127 [1]
Given Kudos: 893
Schools: Boston U '20 (M)
GRE 1: Q169 V154
Send PM
GMAT ToolKit User
Re: If n is an integer, is n even? [#permalink] New post   22 Aug 2016, 02:35
1
Kudos
Here given n is an integer we need to see if its even or odd
Statement 1 => 2n/4=Integer => N is divisible by 2 => Its even [[as The numbers that are divisible by 2 are evens ]]
Statement 2 => n^2=even => n must be even as POWER DOES NOT EFFECT THE EVEN OR ODD NATURE OF ANY NUMBER.
User avatar
G
Krishh9119
Intern
Intern
Joined: 10 Mar 2017
Posts: 43
Own Kudos [?]: 71 [0]
Given Kudos: 191
Location: India
Concentration: Finance, International Business
Schools: W.P. Carey '23
GPA: 4
WE:Information Technology (Consulting)
Send PM
Re: If n is an integer, is n even? [#permalink] New post   18 Jun 2020, 00:55
Bunuel wrote:
If n is an integer, is n even?

(1) 2n is divisible by 4 --> 2n = 4k --> n = 2k = even. Sufficient.

(2) n^2 is even --> since n is an integer, then n^2 can be even only if n is even. Sufficient.

Answer: D.



For the 2nd case, what if n is negative and n^2 is even. ex: n=-2. then n^2=4. should we consider n (which is negative as even).
The question boils down to whether negative numbers are considered odd/even in GMAT?
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92902
Own Kudos [?]: 618803 [1]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
If n is an integer, is n even? [#permalink] New post   18 Jun 2020, 01:03
1
Kudos
Expert Reply
Krishh9119 wrote:
Bunuel wrote:
If n is an integer, is n even?

(1) 2n is divisible by 4 --> 2n = 4k --> n = 2k = even. Sufficient.

(2) n^2 is even --> since n is an integer, then n^2 can be even only if n is even. Sufficient.

Answer: D.



For the 2nd case, what if n is negative and n^2 is even. ex: n=-2. then n^2=4. should we consider n (which is negative as even).
The question boils down to whether negative numbers are considered odd/even in GMAT?


Negative integers can be even or odd generally, not only on the GMAT. GMAT does not have its own math.

An even number is an integer that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder. So, ..., -4, -2, 0, 2, 4, ... are all even integers.

An odd number is an integer that is not evenly divisible by 2. So, ..., -3, -1, 1, 3, 5, ... are all odd integers.
User avatar
L
CrackverbalGMAT
GMAT Club Legend
GMAT Club Legend
Joined: 03 Oct 2013
Affiliations: CrackVerbal
Posts: 4946
Own Kudos [?]: 7626 [0]
Given Kudos: 215
Location: India
Send PM
Re: If n is an integer, is n even? [#permalink] New post   07 Jul 2021, 04:34
Top Contributor
From the question stem, we know that n is not a fraction or a root.

From statement I alone, 2n is divisible by 4.

Therefore, 2n = 4, 8, 12, …. and so on. This means n = 2 or 4 or 6 and so on.
For all values, we see that n is even
Statement I alone is sufficient. Answer options B, C and E can be eliminated.

From statement II alone, \(n^2\) is even.

The square of an integer is even only when the integer is even. Therefore, n is even.
Statement II alone is sufficient. Answer option A can be eliminated.

The correct answer option is D.

Hope that helps!
Aravind B T
User avatar
B
jaydavido
Intern
Intern
Joined: 13 Dec 2022
Posts: 13
Own Kudos [?]: [0]
Given Kudos: 39
Send PM
Re: If n is an integer, is n even? [#permalink] New post   25 Feb 2023, 12:39
What if n is 13? A would be not sufficient?

Posted from my mobile device
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92902
Own Kudos [?]: 618803 [0]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
Re: If n is an integer, is n even? [#permalink] New post   25 Feb 2023, 12:56
Expert Reply
jaydavido wrote:
What if n is 13? A would be not sufficient?

Posted from my mobile device


(1) says that 2n is divisible by 4. If n = 13, 2n=26, which is not divisible by 4, so n cannot be 13.
GMAT Club Bot
gmatclubot
Re: If n is an integer, is n even? [#permalink]
25 Feb 2023, 12:56
Moderator:
Bunuel
Math Expert
92902 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