GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 18 Apr 2019, 21:47

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

M11-37

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

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 54371
M11-37  [#permalink]

Show Tags

New post 16 Sep 2014, 00:45
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

88% (01:19) correct 12% (01:17) wrong based on 57 sessions

HideShow timer Statistics

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 54371
Re M11-37  [#permalink]

Show Tags

New post 16 Sep 2014, 00:46
Official Solution:


Statement (1) by itself is sufficient. From S1 it follows that \(N\) must be even. If \(N\) were odd then \(N^{(N + 1)}\) would be odd. For example: \(3^4=81\), which is odd.

Statement (2) by itself is sufficient. From S2 it also follows that \(N\) must be even. If \(N\) were odd then \((N + 1)^N\) would be even. For example: \({(3+1)}^3=4^3=64\)


Answer: D
_________________
Senior Manager
Senior Manager
User avatar
Status: Not afraid of failures, disappointments, and falls.
Joined: 20 Jan 2010
Posts: 262
Concentration: Technology, Entrepreneurship
WE: Operations (Telecommunications)
GMAT ToolKit User
Re: M11-37  [#permalink]

Show Tags

New post 28 Jul 2016, 04:41
Top Contributor
Bunuel wrote:
If \(N\) is a positive integer, is \(N\) even?


(1) \(N^{N + 1}\) is even

(2) \((N + 1)^N\) is odd


I kept plugging in the numbers and tried 1, 2, 3, 4, and 5 for both statements, which took about a minute to get to the right answer D.
If I hadn't looked at Bunuel's solution, I may not have remembered the simple concept about odd & even numbers because if which both statements themselves are sufficient.

Looks like, gotta thoroughly revise all the concepts and math foundations.
_________________
"I choose to rise after every fall"
Target=770
http://challengemba.blogspot.com
Kudos??
Intern
Intern
avatar
B
Joined: 24 Jun 2017
Posts: 35
Location: Singapore
Schools: INSEAD Jan '19
GMAT 1: 660 Q46 V34
GPA: 3.83
GMAT ToolKit User
Re: M11-37  [#permalink]

Show Tags

New post 24 Aug 2017, 19:18
To asnwer this question I found useful the property that the power of a number doesn’t impact the even-odd nature of the number
Intern
Intern
avatar
Joined: 30 Jul 2013
Posts: 5
Concentration: Strategy, General Management
Re M11-37  [#permalink]

Show Tags

New post 12 Apr 2019, 12:33
I think this is a high-quality question and the explanation isn't clear enough, please elaborate. Can we take 0 whenever the question says "Positive Integer"?
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 54371
Re: M11-37  [#permalink]

Show Tags

New post 13 Apr 2019, 00:38
aditya95 wrote:
I think this is a high-quality question and the explanation isn't clear enough, please elaborate. Can we take 0 whenever the question says "Positive Integer"?


No.

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: http://gmatclub.com/forum/number-proper ... 74996.html
_________________
CEO
CEO
User avatar
P
Joined: 18 Aug 2017
Posts: 2994
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
Re: M11-37  [#permalink]

Show Tags

New post 14 Apr 2019, 04:48
Bunuel wrote:
If \(N\) is a positive integer, is \(N\) even?


(1) \(N^{N + 1}\) is even

(2) \((N + 1)^N\) is odd


#1
\(N^{N + 1}\) is even
only possible whenever N is even ;
sufficient

#2
\((N + 1)^N\) is odd[/quote]
only possible whenever N is even ;
sufficient

IMO D
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
GMAT Club Bot
Re: M11-37   [#permalink] 14 Apr 2019, 04:48
Display posts from previous: Sort by

M11-37

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

Moderators: chetan2u, Bunuel



Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.