Find all School-related info fast with the new School-Specific MBA Forum

It is currently 06 Feb 2016, 10:54
GMAT Club Tests

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Is N/2 an odd integer? (1) 2N is even (2) N is even

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Expert Post
Moderator
Moderator
User avatar
Joined: 01 Sep 2010
Posts: 2739
Followers: 597

Kudos [?]: 4618 [0], given: 755

Is N/2 an odd integer? (1) 2N is even (2) N is even [#permalink] New post 27 Feb 2012, 06:04
Expert's post
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

62% (01:51) correct 38% (00:52) wrong based on 37 sessions
Is N/2 an odd integer?

(1) 2N is even.
(2) N is even.

Here the answer is E, but for me is D. here my explanation.

N/2= Odd ??

N= 2 x Odd= Even....so : N is Even ??

1) 2N= even Yes

2) N= Even

Or should I consider also the case where N/2 is even ??
[Reveal] Spoiler: OA

_________________

COLLECTION OF QUESTIONS AND RESOURCES
Quant: 1. ALL GMATPrep questions Quant/Verbal 2. Bunuel Signature Collection - The Next Generation 3. Bunuel Signature Collection ALL-IN-ONE WITH SOLUTIONS 4. Veritas Prep Blog PDF Version 5. MGMAT Study Hall Thursdays with Ron Quant Videos
Verbal:1. Verbal question bank and directories by Carcass 2. MGMAT Study Hall Thursdays with Ron Verbal Videos 3. Critical Reasoning_Oldy but goldy question banks 4. Sentence Correction_Oldy but goldy question banks 5. Reading-comprehension_Oldy but goldy question banks

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 31226
Followers: 5342

Kudos [?]: 62048 [0], given: 9427

Re: Is N/2 an odd integer? [#permalink] New post 27 Feb 2012, 06:17
Expert's post
carcass wrote:
Is N/2 an odd integer?
(1) 2N is even.
(2) N is even.

Here the answer is E, but for me is D. here my explanation.

N/2= Odd ??

N= 2 x Odd= Even....so : N is Even ??

1) 2N= even Yes

2) N= Even

Or should I consider also the case where N/2 is even ??


Yes, N must be even in order N/2 to be an odd integer but, N being even doesn't guarantee that N/2 is odd (so converse is not true).

For example:
If N=4, which satisfies both statements, then N/2=2=even, not odd;
If N=2, which satisfies both statements, then N/2=1=odd;
Two different answers not sufficient.

Answer: E.

Hope it's clear.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Manager
Manager
avatar
Joined: 03 Aug 2010
Posts: 106
GMAT Date: 08-08-2011
Followers: 1

Kudos [?]: 37 [0], given: 63

Re: Is N/2 an odd integer? [#permalink] New post 27 Feb 2012, 06:22
Consider the case where N is 6. N/2 is odd.
What about when N is 4. N/2 is even.
(1) is not sufficient.

You can use the same examples above to evaluate statement 2.
(2) is not sufficient.

Combining the information in both statements is also insufficient.
N could be 4 or 6 and result in N/2 being odd or even.

carcass wrote:
Is N/2 an odd integer?
(1) 2N is even.
(2) N is even.

Here the answer is E, but for me is D. here my explanation.

N/2= Odd ??

N= 2 x Odd= Even....so : N is Even ??

1) 2N= even Yes

2) N= Even

Or should I consider also the case where N/2 is even ??
Manager
Manager
avatar
Joined: 09 Feb 2012
Posts: 72
Location: India
Concentration: Marketing, Strategy
GMAT 1: 640 Q48 V31
GPA: 3.45
WE: Marketing (Pharmaceuticals and Biotech)
Followers: 2

Kudos [?]: 57 [0], given: 41

Re: Is N/2 an odd integer? [#permalink] New post 27 Feb 2012, 06:37
The answer should be (E)
Current Student
User avatar
Joined: 06 Sep 2013
Posts: 2036
Concentration: Finance
GMAT 1: 770 Q0 V
Followers: 39

Kudos [?]: 432 [0], given: 355

GMAT ToolKit User
Re: Is N/2 an odd integer? (1) 2N is even (2) N is even [#permalink] New post 28 Mar 2014, 08:34
Let's try this one by plugging some numbers so as to make solution more practicals. 2N is even, for statement 1 we have that if n is 1 then the answer is no, in fact n/2 is not even an integer. But if answer is N=2 then we have that N/2 is in fact odd hence insufficient.

Statement 2 we have that N is even same here. If N =2 then we have that N/2 is an odd integer but if N=4 then N/2 is even integer hence insufficient. Both statements together, we could try similar cases. Say N=2 then answer is yes, say N equals 4 then answer becomes no.

Therefore correct answer choice is E.
Hope this helps

Cheers
J
Re: Is N/2 an odd integer? (1) 2N is even (2) N is even   [#permalink] 28 Mar 2014, 08:34
    Similar topics Author Replies Last post
Similar
Topics:
2 Experts publish their posts in the topic Is n^2 an even integer? avohden 2 01 Nov 2013, 23:56
1 Experts publish their posts in the topic Is n^2 + 2n an integer? (1) n^3 + 3n is an integer. (2) 2n conty911 19 26 Apr 2012, 02:05
Experts publish their posts in the topic Is integer N even? 1) N^2=N 2)N=N^3 Statement (1) ALONE is Lombards 3 17 Feb 2011, 13:33
2 Experts publish their posts in the topic Is the integer n even? (1) n 5 is an odd integer. (2) n/5 is Orange08 2 11 Sep 2010, 14:21
22 Experts publish their posts in the topic Is n an integer? (1) n^2 is an integer (2) n^(1/2) is an vwjetty 13 31 Aug 2010, 13:04
Display posts from previous: Sort by

Is N/2 an odd integer? (1) 2N is even (2) N is even

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

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®.