Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 16 May 2015
Posts: 43

Re: If m is an integer, is m odd? [#permalink]
Show Tags
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



Math Expert
Joined: 02 Sep 2009
Posts: 43917

Re: If m is an integer, is m odd? [#permalink]
Show Tags
22 May 2015, 07:07
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, ...
_________________
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? Extrahard Quant Tests with Brilliant Analytics



Intern
Joined: 16 May 2015
Posts: 43

Re: If m is an integer, is m odd? [#permalink]
Show Tags
22 May 2015, 07:50
1
This post received KUDOS
got it. thanks for the help



Intern
Joined: 24 Mar 2013
Posts: 28

Re: If m is an integer, is m odd? [#permalink]
Show Tags
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 fractionHence, 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!



eGMAT Representative
Joined: 04 Jan 2015
Posts: 806

Re: If m is an integer, is m odd? [#permalink]
Show Tags
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 'NonIntegers.'
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 noninteger (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 noninteger. That is, m is not completely divisible by 2. That is, m leaves a nonzero remainder when divided by 2. Now, the only possible nonzero 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.egmat.com



Intern
Joined: 12 Nov 2013
Posts: 44

Re: If m is an integer, is m odd? [#permalink]
Show Tags
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) m3 is an even integer > \(modd=even\) > \(m=even+odd=odd\). 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!



Math Expert
Joined: 02 Sep 2009
Posts: 43917

Re: If m is an integer, is m odd? [#permalink]
Show Tags
31 Aug 2015, 06:43
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) m3 is an even integer > \(modd=even\) > \(m=even+odd=odd\). 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? Extrahard Quant Tests with Brilliant Analytics



Target Test Prep Representative
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
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 WoodburyStewart
Founder and CEO
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



Retired Moderator
Joined: 12 Aug 2015
Posts: 2430
GRE 1: 323 Q169 V154

Re: If m is an integer, is m odd? [#permalink]
Show Tags
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 m3=even hence m=even+odd=> odd hence sufficient
_________________
Getting into HOLLYWOOD with an MBA Stone Cold's Mock Tests for GMATQuant(700+)



Study Buddy Forum Moderator
Joined: 04 Sep 2016
Posts: 696
Location: India
WE: Engineering (Other)

If m is an integer, is m odd? [#permalink]
Show Tags
17 Jan 2018, 17:44
Bunuel niks18 chetan2uamanvermagmatQuote: 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.



Math Expert
Joined: 02 Aug 2009
Posts: 5667

Re: If m is an integer, is m odd? [#permalink]
Show Tags
17 Jan 2018, 18:36
adkikani wrote: Bunuel niks18 chetan2uamanvermagmatQuote: 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/absolutemodulusabetterunderstanding210849.html#p1622372 Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
BANGALORE/



Intern
Joined: 29 Oct 2016
Posts: 21
Location: India
GPA: 3.84

Re: If m is an integer, is m odd? [#permalink]
Show Tags
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 m3 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 ]



