It is currently 25 Feb 2018, 19:37

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If m is an integer, is m odd?

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

Hide Tags

1 KUDOS received
Intern
Intern
avatar
Joined: 16 May 2015
Posts: 43
Re: If m is an integer, is m odd? [#permalink]

Show Tags

New post 22 May 2015, 06:18
1
This post received
KUDOS
okay..got it..we don't have to consider fraction when we talk about Even and ODD. How about negative integer? Can we exclude it too for Odd and Even Qs? Thanks
Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43917
Re: If m is an integer, is m odd? [#permalink]

Show Tags

New post 22 May 2015, 07:07
1
This post received
KUDOS
Expert's post
katzzzz wrote:
okay..got it..we don't have to consider fraction when we talk about Even and ODD. How about negative integer? Can we exclude it too for Odd and Even Qs? Thanks


1. An even number is an integer that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder. Even integers are: ..., -6, -4, -2, 0, 2, 4, 6, 8, ...

2. An odd number is an integer that is not evenly divisible by 2: ..., -5, -3, -1, 1, 3, 5, ...

Theory on Number Properties: math-number-theory-88376.html
Tips on Number Properties: number-properties-tips-and-hints-174996.html

All DS Number Properties Problems to practice: search.php?search_id=tag&tag_id=38
All PS Number Properties Problems to practice: search.php?search_id=tag&tag_id=59

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | 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

1 KUDOS received
Intern
Intern
avatar
Joined: 16 May 2015
Posts: 43
Re: If m is an integer, is m odd? [#permalink]

Show Tags

New post 22 May 2015, 07:50
1
This post received
KUDOS
got it. thanks for the help
1 KUDOS received
Intern
Intern
avatar
Joined: 24 Mar 2013
Posts: 28
Re: If m is an integer, is m odd? [#permalink]

Show Tags

New post 24 May 2015, 09:12
1
This post received
KUDOS
Bunuel wrote:
pacifist85 wrote:
Not wanting to find excuses, but I do think that statement 1 is wrongly phrased. Epsecially since the gmat is quite strict in verbal, when it comes to meaning!

So, for me, "m is not an even integer" means that it is an integer that is not even. Otherwise, it should have been: m is not even. Then it can be whatever - integer or not - as long as it is not even. Then, the question stem would make sense:

The stem says "If m is an integer, is m odd?", which means: in the case than m is an integer, is it odd? So, it leaves some space on m being an integer or not.

Reading [1], you actually read "m is an integer that is not odd", because "not an even" describes the word integer. So, the adjective "even" describes the word "integer". "Not even" is also used as an adjective, and it still describes the word "integer". This does not leave any space for confusion: m should be an integer.

If a verbal genius is around perhaps he/she could refute this argument! Haha! :)


First of all this is OG question, so it's as good as it gets.

Next, only integers can be odd or even. So, there is no difference in saying x is even and x is an even integer.


Bunuel,

Thanks for explaining the relationship b/w even/odd & integer!

So, the right way to approach statement [1] is --> m/2 is not an even integer or m/2 is not even...
The above analysis - then also opens up the possibility that m/2 could also be a fraction

Hence, given that m/2 could be odd or could be a fraction --> m can take even or odd values, therefore INSUFFICIENT.

So, GMAT wants to test us by giving us the FACT that m is an integer but m/2 can be even or odd [still an integer] or it could be a fraction!

This is some good learning...Many thanks!
Expert Post
1 KUDOS received
e-GMAT Representative
User avatar
S
Joined: 04 Jan 2015
Posts: 806
Re: If m is an integer, is m odd? [#permalink]

Show Tags

New post 02 Jun 2015, 04:23
1
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
Quote:
If m is an integer, is m odd?

(1) m/2 is not an even integer.
(2) m – 3 is an even integer.


This thread sure had some interesting discussion related to St. 1 :)

Here's an alternate, visual, way of processing St. 1:

We'll try to get a visual sense of what St. 1 is conveying.

We know that 'Integers' is a subset within the set of ALL Real Numbers. And, this set of 'Integers' is further divided into two subsets - Even and Odd.

So, if I represent the subset 'Even Integers' with Red color, then the blue zone represents 'Integers that are not Even, that is, Odd Integers'. And the white zone represents 'Non-Integers.'

Image

Now, if you are told that a real number X is not an Even Integer, that only means that X doesn't lie in the Red Zone.

Can X lie in the blue zone? Sure it can.

Can X lie in the white zone? It can.

So, if you are told that some real number is not an even integer, you are only sure about what this integer is NOT. This number can be an odd integer, or it can be a non-integer (in other words, a fraction).

So, when St. 1 tells you that m/2 is not an even integer, two possibilities arise:

Case 1. m/2 is an odd integer
=> m = 2*odd = Even integer

Case 2. m/2 is a non-integer.
That is, m is not completely divisible by 2.
That is, m leaves a non-zero remainder when divided by 2.

Now, the only possible non-zero remainder that results when a number is divided by 2, is 1 (because 0 ≤ Remainder < Divisor)

This means, m = 2q + 1

That is, m = Odd integer.

Thus, from St. 1, we see that m can either be an even integer or an odd integer. So, St. 1 is not sufficient to arrive at a unique answer.


Hope this visual representation helped further cement your understanding of why St. 1 is insufficient. :)

Best Regards

Japinder
_________________












| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

1 KUDOS received
Intern
Intern
avatar
Joined: 12 Nov 2013
Posts: 44
Re: If m is an integer, is m odd? [#permalink]

Show Tags

New post 31 Aug 2015, 04:47
1
This post received
KUDOS
Bunuel wrote:
If m is an integer, is m odd?

(1) m/2 is not an even integer --> \(\frac{m}{2}\neq{even}\) could occur when \(m\) is odd as well as when \(m\) is even (10 and 5 for example) --> \(\frac{m}{2}=\frac{10}{2}=5\neq{even}\) and \(\frac{m}{2}=\frac{5}{2}=2.5\neq{even}\). Not sufficient.

(2) m-3 is an even integer --> \(m-odd=even\) --> \(m=even+odd=odd\). Sufficient.

Answer: B.



statement 1 - m/2 is not an even integer, i am a bit confused, what i interpreted is that the outcome of m/2 has to be an integer.

So if you consider the outcome to be an integer, than m will always be even.
_________________

Kindly support by giving Kudos, if my post helped you!

Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43917
Re: If m is an integer, is m odd? [#permalink]

Show Tags

New post 31 Aug 2015, 06:43
1
This post received
KUDOS
Expert's post
harishbiyani8888 wrote:
Bunuel wrote:
If m is an integer, is m odd?

(1) m/2 is not an even integer --> \(\frac{m}{2}\neq{even}\) could occur when \(m\) is odd as well as when \(m\) is even (10 and 5 for example) --> \(\frac{m}{2}=\frac{10}{2}=5\neq{even}\) and \(\frac{m}{2}=\frac{5}{2}=2.5\neq{even}\). Not sufficient.

(2) m-3 is an even integer --> \(m-odd=even\) --> \(m=even+odd=odd\). Sufficient.

Answer: B.



statement 1 - m/2 is not an even integer, i am a bit confused, what i interpreted is that the outcome of m/2 has to be an integer.

So if you consider the outcome to be an integer, than m will always be even.


Your interpretation is not correct.

For m/2 not to be an even integer m can be even (10) as well as odd (5). (1) just says that m/2 is not an even integer, from which you can no way assume that m/2 is an odd integer, it can not be an integer at all.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | 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

Expert Post
Target Test Prep Representative
User avatar
G
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2192
Location: United States (CA)
Re: If m is an integer, is m odd? [#permalink]

Show Tags

New post 10 May 2016, 06:45
dzodzo85 wrote:
If m is an integer, is m odd?

(1) m/2 is not an even integer.
(2) m – 3 is an even integer.


We are given that m is an integer and we must determine whether it is odd.

Statement One Alone:

m/2 is not an even integer.

The information in statement one is not enough to determine whether m is odd since m can be odd or even. For example, if m = 3 (an odd number), m/2 = 3/2 = 1.5 is not an even integer. On the other hand, if m = 2 (an even number), m/2 = 2/2 = 1 is not an even integer also.

Thus, statement one is not sufficient to determine whether m is odd. We can eliminate answer choices A and D.

Statement Two Alone:

m – 3 is an even integer.

Since m – 3 is an even integer, we can say m – 3 = even. That is, m = even + 3. Since 3 is odd and we know that even + odd = odd, we know that m must be an odd integer.

Statement two is sufficient to answer the question.

The answer is B.
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Retired Moderator
User avatar
P
Joined: 12 Aug 2015
Posts: 2430
GRE 1: 323 Q169 V154
GMAT ToolKit User Premium Member
Re: If m is an integer, is m odd? [#permalink]

Show Tags

New post 21 Nov 2016, 09:43
Given =>
m=integer
We need the even/odd nature of m
Putting m=1 and m=2
we can discard the first statement
In the second statement
m-3=even
hence m=even+odd=> odd
hence sufficient
_________________


Getting into HOLLYWOOD with an MBA

Stone Cold's Mock Tests for GMAT-Quant(700+)

Study Buddy Forum Moderator
User avatar
P
Joined: 04 Sep 2016
Posts: 696
Location: India
WE: Engineering (Other)
Premium Member CAT Tests
If m is an integer, is m odd? [#permalink]

Show Tags

New post 17 Jan 2018, 17:44
Bunuel niks18 chetan2u
amanvermagmat

Quote:
If m is an integer, is m odd?

(1) m/2 is not an even integer.
(2) m – 3 is an even integer.


If Q had been m/2 is an even integer, then ans would be straight D.
Am I correct?
_________________

It's the journey that brings us happiness not the destination.

Expert Post
Math Expert
User avatar
D
Joined: 02 Aug 2009
Posts: 5667
Re: If m is an integer, is m odd? [#permalink]

Show Tags

New post 17 Jan 2018, 18:36
adkikani wrote:
Bunuel niks18 chetan2u
amanvermagmat

Quote:
If m is an integer, is m odd?

(1) m/2 is not an even integer.
(2) m – 3 is an even integer.


If Q had been m/2 is an even integer, then ans would be straight D.
Am I correct?



Yes..
Even if the statement read
m/2 is an integer... It would be sufficient to say m is even integer
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html


BANGALORE/-

Intern
Intern
avatar
B
Joined: 29 Oct 2016
Posts: 21
Location: India
GMAT 1: 700 Q49 V36
GPA: 3.84
GMAT ToolKit User Reviews Badge
Re: If m is an integer, is m odd? [#permalink]

Show Tags

New post 18 Jan 2018, 00:50
A m/2 is not an int:
int can be 7/2- Then m is odd
other case non int divided by m...not sufficient

B m-3 even int therefore m= 3+even int= odd int sufficient

B ans
Re: If m is an integer, is m odd?   [#permalink] 18 Jan 2018, 00:50

Go to page   Previous    1   2   [ 32 posts ] 

Display posts from previous: Sort by

If m is an integer, is m odd?

  new topic post reply 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 | 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®.