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

It is currently 21 Oct 2014, 11:10

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 the integer m an even number?

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
avatar
Joined: 25 Jun 2012
Posts: 65
Followers: 0

Kudos [?]: 8 [0], given: 21

Is the integer m an even number? [#permalink] New post 15 Nov 2012, 11:03
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

64% (03:56) correct 36% (00:46) wrong based on 154 sessions
Is the integer m an even number?


(1) |m| = -m

(2) (m)(m - 1)(m + 2) = 0
[Reveal] Spoiler: OA
Expert Post
1 KUDOS received
Magoosh GMAT Instructor
User avatar
Joined: 28 Dec 2011
Posts: 2142
Followers: 539

Kudos [?]: 2264 [1] , given: 31

Re: Is the integer m an even number? [#permalink] New post 15 Nov 2012, 15:07
1
This post received
KUDOS
Expert's post
actleader wrote:
Is the integer m an even number?
(1) |m| = -m
(2) (m)(m - 1)(m + 2) = 0

I'm happy to help with this.

Statement #1 is equivalent to the statement that m =< 0, that m is zero or a negative number. For more explanation of this, see this blog post:
http://magoosh.com/gmat/2012/gmat-math- ... -of-minus/
We know from this that m is zero or negative, but not necessarily even or odd, so this statement, alone and by itself, is not sufficient.

Statement #2: We solve this with the Zero Product Property.
The ZPP says:
If A*B = 0, then A = 0 or B = 0
Notice that, in this statement, the word "or" is no garnish, but rather an essential piece of mathematical equipment.
By extension,
If A*B*C = 0, then A = 0 or B = 0 or C = 0.

Here, we have:
(m)(m - 1)(m + 2) = 0 ===> m = 0 OR (m - 1) = 0 OR (m + 2) = 0
===> m = 0 OR m = +1 or m = -2
From this statement, m could be any of these three, so it could be even or odd. This statement, alone and by itself, is not sufficient.

Combined statements
We look at our set from the second statement, m = {0, +1, -2}, and because of the constraint of the first statement, we know m must be zero or negative, so we can keep 0 and -2, but we have to exclude +1. Now we are down to m = {0, -2}. We don't know which one m equals, but since both of them are even, we now definitively know that m is even. Thus, combined, the statements are sufficient.

Answer = C

Does all this make sense?
Mike :-)
_________________

Mike McGarry
Magoosh Test Prep

Image

Image

CEO
CEO
User avatar
Joined: 09 Sep 2013
Posts: 2804
Followers: 206

Kudos [?]: 42 [0], given: 0

Premium Member
Re: Is the integer m an even number? [#permalink] New post 15 May 2014, 01:37
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Moderator
Moderator
User avatar
Joined: 25 Apr 2012
Posts: 670
Location: India
GPA: 3.21
WE: Business Development (Other)
Followers: 18

Kudos [?]: 316 [0], given: 675

Premium Member CAT Tests
Re: Is the integer m an even number? [#permalink] New post 15 May 2014, 02:18
actleader wrote:
Is the integer m an even number?


(1) |m| = -m

(2) (m)(m - 1)(m + 2) = 0


Sol: Given in St 1 |m|=-m or m+|m|=0 ----->this implies some a positive no + m= 0 and therefore m has to be a negative number.

Now m can be -2 then ans is Y but if m=-3 then no

So Option A and D are ruled out

St 2 tells you that possible values of m are 0,1 and -2
Again if m=0,-2 then m is even number but if m=1 then m is odd. Option B ruled out

Combining we get that m is a negative number so m=-2. Ans is C
_________________


“If you can't fly then run, if you can't run then walk, if you can't walk then crawl, but whatever you do you have to keep moving forward.”

Manager
Manager
avatar
Joined: 07 May 2013
Posts: 109
Followers: 0

Kudos [?]: 9 [0], given: 1

Re: Is the integer m an even number? [#permalink] New post 06 Jun 2014, 19:07
Great explanation mike. I solved the problem but without understanding the importance of OR. Good job and please keep us enlightened
Manager
Manager
User avatar
Joined: 20 Dec 2013
Posts: 119
Followers: 1

Kudos [?]: 42 [0], given: 1

Re: Is the integer m an even number? [#permalink] New post 06 Jun 2014, 23:31
actleader wrote:
Is the integer m an even number?


(1) |m| = -m

(2) (m)(m - 1)(m + 2) = 0


Statement I is insufficient:

m = 0, m = -1 would be suffice the statement and m can be even or odd. M can be any negative number or zero

Statement II is insufficient:

Either m = 0 OR m = 1 OR m = -2

Combining:

m = 0 or m = -2 which states that m will be even

Hence E is the answer
_________________

Perfect Scores

If you think our post was valuable then please encourage us with Kudos :)

To learn GMAT for free visit:

http://Perfect-Scores.com
http://Youtube.com/PerfectScores
http://Facebook.com/PerfectScores

Manager
Manager
avatar
Joined: 04 Jan 2014
Posts: 128
Followers: 1

Kudos [?]: 5 [0], given: 24

Re: Is the integer m an even number? [#permalink] New post 18 Jun 2014, 01:00
Is zero considered an even integer?
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23355
Followers: 3604

Kudos [?]: 28717 [0], given: 2821

Re: Is the integer m an even number? [#permalink] New post 18 Jun 2014, 01:02
Expert's post
1
This post was
BOOKMARKED
pretzel wrote:
Is zero considered an even integer?


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, (or, which is the same, zero is a multiple of every integer except zero itself).

Check more here: tips-and-hints-for-specific-quant-topics-with-examples-172096.html#p1371030

Hope it helps.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Manager
Manager
avatar
Joined: 04 Jan 2014
Posts: 128
Followers: 1

Kudos [?]: 5 [0], given: 24

Re: Is the integer m an even number? [#permalink] New post 18 Jun 2014, 01:04
Thank Bunnel for your prompt reply! I chose E because I narrowed down to 0 and 2 from the 2nd statement.
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23355
Followers: 3604

Kudos [?]: 28717 [0], given: 2821

Re: Is the integer m an even number? [#permalink] New post 18 Jun 2014, 01:29
Expert's post
pretzel wrote:
Thank Bunnel for your prompt reply! I chose E because I narrowed down to 0 and 2 from the 2nd statement.


If from (2) we had that m is either 0 or 2, then the answer would be B. Because both 0 and 2 are even. But from (2) m is 0, 1, or -2. If m is 0 or -2, then the answer to the question is YES but if m is 1, then the answer to the question is NO. So, (2) is not sufficient.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Re: Is the integer m an even number?   [#permalink] 18 Jun 2014, 01:29
    Similar topics Author Replies Last post
Similar
Topics:
1 Experts publish their posts in the topic If a and b are integers, and m is an even integer, is ab/4 Amateur 4 19 Dec 2012, 22:45
1 Experts publish their posts in the topic If M and N are positive integers, then is M an even integer? Smita04 3 09 Feb 2012, 16:57
9 Experts publish their posts in the topic M25 Q10 Set T consists of a certain number of even integers jenyang5268 21 13 Mar 2009, 10:29
If an integer is odd \\m\\=3m if an integer is even GMATBLACKBELT 5 31 Aug 2007, 14:16
If m is an integer, is m odd? 1. m/2 is not an even integer. sushom101 5 17 Oct 2005, 13:37
Display posts from previous: Sort by

Is the integer m an even number?

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| 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®.