November 20, 2018 November 20, 2018 09:00 AM PST 10:00 AM PST The reward for signing up with the registration form and attending the chat is: 6 free examPAL quizzes to practice your new skills after the chat. November 20, 2018 November 20, 2018 06:00 PM EST 07:00 PM EST What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50627

If k is an integer, is k even?
[#permalink]
Show Tags
18 Feb 2015, 03:47
Question Stats:
77% (00:31) correct 23% (00:54) wrong based on 110 sessions
HideShow timer Statistics



CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2701
Location: India
GMAT: INSIGHT
WE: Education (Education)

Re: If k is an integer, is k even?
[#permalink]
Show Tags
18 Feb 2015, 06:32
Bunuel wrote: If k is an integer, is k even?
(1) k + 5 is not an even integer (2) k/2 is an even integer
Question : Is k even?Statement 1: k + 5 is not an even integer We must know that Even + Even = Even Even + Odd = Odd Odd + Odd = Evenk+odd(5) = Odd hence K must be even SUFFICIENT Statement 2: k/2 is an even integeri.e. k = 2 x Even i.e. k = Even SUFFICIENT Answer: Option
_________________
Prosper!!! GMATinsight Bhoopendra Singh and Dr.Sushma Jha email: info@GMATinsight.com I Call us : +919999687183 / 9891333772 Online OneonOne Skype based classes and Classroom Coaching in South and West Delhi http://www.GMATinsight.com/testimonials.html
ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION



Manager
Joined: 27 Oct 2013
Posts: 213
Location: India
Concentration: General Management, Technology
GMAT Date: 03022015
GPA: 3.88

Re: If k is an integer, is k even?
[#permalink]
Show Tags
18 Feb 2015, 08:11
Here we go:
The key to remember is
{odd + odd} = even (1) {even + odd} = odd (2) {even + even} = even (3)
St1: k + 5 is not an even integer
5 is an odd integer Equation (2) holds true here
St1 is sufficient
St2: k/2 is an even integer
k/2 = even integer
k = 2 * even integer =====> even integer
St2 is also sufficient.
Option D is correct



Manager
Joined: 05 Apr 2014
Posts: 96
GPA: 3.75
WE: Account Management (Advertising and PR)

Re: If k is an integer, is k even?
[#permalink]
Show Tags
18 Feb 2015, 17:40
I tried this by inputting a few numbers.
(1) 1+5 = even 0+5 = odd did this for a couple numbers and only the even values of K yield a "not even" number. So 1 is sufficient because I can definitively answer the question.
(2) I did the same thing here, and again I can definitively answer the question. So also sufficient.
Answer I came to is D.



Intern
Joined: 18 Jan 2015
Posts: 4
Location: United States (MN)
Concentration: General Management, Entrepreneurship
GMAT Date: 04272015
GPA: 3.76
WE: Engineering (Manufacturing)

Re: If k is an integer, is k even?
[#permalink]
Show Tags
19 Feb 2015, 18:53
(1) k+5 is not even here k may be 0 as 0 is considered as an integer. so k is neither even nor odd. also k can be 2, in which case k is even so (1) is NSF (2) as k/2 is even, K has to be even. hence SF Answer is B
_________________
Two Years at Harvard Business School Ahead of the Curve



Manager
Joined: 05 Apr 2014
Posts: 96
GPA: 3.75
WE: Account Management (Advertising and PR)

Re: If k is an integer, is k even?
[#permalink]
Show Tags
19 Feb 2015, 19:00
kler515 wrote: (1) k+5 is not even here k may be 0 as 0 is considered as an integer. so k is neither even nor odd. also k can be 2, in which case k is even so (1) is NSF (2) as k/2 is even, K has to be even. hence SF
Answer is B But isn't 0 an even integer?



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 12883
Location: United States (CA)

Re: If k is an integer, is k even?
[#permalink]
Show Tags
19 Feb 2015, 19:02
Hi kler515, You've made a small mistake with how you dealt with Fact 1. There are a number of facts that you need to know about the number 0 (and you'll likely be tested on ALL of them on the Official GMAT): 1) 0 is an integer 2) 0 is even 3) 0 is called a "null value" (it's neither positive, nor negative) 4) 0 is a multiple of everything So, since 0 is even, and all of the other examples that you could come up with are ALSO even, Fact 1 is actually sufficient. GMAT assassins aren't born, they're made, Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com
Rich Cohen
CoFounder & GMAT Assassin
Special Offer: Save $75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/
*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****



SVP
Joined: 06 Nov 2014
Posts: 1882

If k is an integer, is k even?
[#permalink]
Show Tags
Updated on: 24 Feb 2015, 01:04
Bunuel wrote: If k is an integer, is k even?
(1) k + 5 is not an even integer (2) k/2 is an even integer
Kudos for a correct solution. Since k is an integer, it can take any value from infinity to +infinity including 0. We can obtain an odd number only when an ODD number is ADDED to an EVEN number. In all other cases, we always get an even number (i.e. Even + Even, Odd + Odd) 1) Using first condition, we know that k + 5 is an ODD integer. Hence we're sure that k is an EVEN integer because 5 is odd. Hence this alone can help us answer the question. 2) Using second condition, we know that k/2 is an even integer. The basic rule to test Even/Odd numbers is that if any integer when divided by 2 given an even integer then that integer is even. Since k/2 is an even integer so k is an even integer. Hence this alone can help us answer the question. Hence the answer is D.  Optimus Prep's GMAT On Demand course for only $299 covers all verbal and quant. concepts in detail. Visit the following link to get your 7 days free trial account: http://www.optimusprep.com/gmatondemandcourse



Math Expert
Joined: 02 Sep 2009
Posts: 50627

Re: If k is an integer, is k even?
[#permalink]
Show Tags
22 Feb 2015, 10:56
Bunuel wrote: If k is an integer, is k even?
(1) k + 5 is not an even integer (2) k/2 is an even integer
Kudos for a correct solution. VERITAS PREP OFFICIAL SOLUTIONCorrect Answer: D Statement (1) indicates that k plus an odd number is not even. Two odd numbers would add up to an even number, so we know that k cannot be odd because k + 5 is not even. Therefore, k is an even number and statement (1) is sufficient. Statement (2) indicates that k/2 is an even integer. In order to get an even integer when dividing an integer by 2, the original integer must be a multiple of 4 (i.e., 8/2 = 4 or 20/2 = 10). Thus k is an even number and statement (2) is sufficient as well. Since each statement alone is sufficient to answer the question, the correct response is D.
_________________
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: 15 Jan 2015
Posts: 23

Re: If k is an integer, is k even?
[#permalink]
Show Tags
22 Feb 2015, 20:16
If k is an integer, is k even?
(1) k + 5 is not an even integer (2) k/2 is an even integer
State(1)  k+5 = odd k+odd = odd k is even (sufficient)
State(2)  k/2 = even k = even (sufficient)
Both alone are sufficient.



Senior Manager
Status: Active
Affiliations: NA
Joined: 23 Oct 2012
Posts: 274
GMAT 1: 590 Q50 V21 GMAT 2: 600 Q48 V25 GMAT 3: 730 Q51 V37
GPA: 3.5

If k is an integer, is k even?
[#permalink]
Show Tags
12 Jul 2016, 13:24
If k is an integer, is k even? 1. k + 5 is not an even integer 2. k /2 is an even integer A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked C. Both statements (1) and (2) TOGETHER are sufficient to answer the question asked; but NEITHER statement ALONE is sufficient D. EACH statement ALONE is sufficient to answer the question asked E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed
_________________
#If you like my post , please encourage me by giving Kudos



Senior Manager
Status: Active
Affiliations: NA
Joined: 23 Oct 2012
Posts: 274
GMAT 1: 590 Q50 V21 GMAT 2: 600 Q48 V25 GMAT 3: 730 Q51 V37
GPA: 3.5

If k is an integer, is k even?
[#permalink]
Show Tags
12 Jul 2016, 13:26
I think answer is B , but official answer is different . Please help how k+5 can always be even as k could be 0.
_________________
#If you like my post , please encourage me by giving Kudos



Intern
Joined: 28 Nov 2015
Posts: 2

Re: If k is an integer, is k even?
[#permalink]
Show Tags
12 Jul 2016, 19:56
1) k+5 is not an even integer => k+5 is odd, so k is even. Sufficient 2) k/2 is even. => k is even. Sufficient
Hence, D



Math Expert
Joined: 02 Sep 2009
Posts: 50627

Re: If k is an integer, is k even?
[#permalink]
Show Tags
12 Jul 2016, 20:38
anje29 wrote: If k is an integer, is k even?
1. k + 5 is not an even integer
2. k /2 is an even integer
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked C. Both statements (1) and (2) TOGETHER are sufficient to answer the question asked; but NEITHER statement ALONE is sufficient D. EACH statement ALONE is sufficient to answer the question asked E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed Merging topics. Please refer to the discussion above.
_________________
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



Senior Manager
Status: Active
Affiliations: NA
Joined: 23 Oct 2012
Posts: 274
GMAT 1: 590 Q50 V21 GMAT 2: 600 Q48 V25 GMAT 3: 730 Q51 V37
GPA: 3.5

If k is an integer, is k even?
[#permalink]
Show Tags
13 Jul 2016, 01:45
Hi , Bunel , please help me understand how statement 1 is correct as k could be 0 then K+5 will be odd and k will not be even.
_________________
#If you like my post , please encourage me by giving Kudos



Math Expert
Joined: 02 Sep 2009
Posts: 50627

Re: If k is an integer, is k even?
[#permalink]
Show Tags
13 Jul 2016, 03:40



Current Student
Joined: 18 Oct 2014
Posts: 855
Location: United States
GPA: 3.98

Re: If k is an integer, is k even?
[#permalink]
Show Tags
13 Jul 2016, 05:47
Bunuel wrote: If k is an integer, is k even?
(1) k + 5 is not an even integer (2) k/2 is an even integer
Kudos for a correct solution. (1) k + 5 is not an even integer k+odd= odd k has to be even. Sufficient. (2) k/2 is an even integer K/2 is even integer means that k is in the form 4n sufficient. D is the answer
_________________
I welcome critical analysis of my post!! That will help me reach 700+



NonHuman User
Joined: 09 Sep 2013
Posts: 8817

Re: If k is an integer, is k even?
[#permalink]
Show Tags
01 Nov 2018, 19:38
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




Re: If k is an integer, is k even? &nbs
[#permalink]
01 Nov 2018, 19:38






