NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 08:12 It is currently 24 Apr 2024, 08:12
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

If negative integers k and p are NOT both even, which of the

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
avatar
marcovg4
Intern
Intern
Joined: 15 Mar 2012
Posts: 45
Own Kudos [?]: 39 [2]
Given Kudos: 19
Location: United States
Concentration: Marketing, Strategy
Schools: ESADE '15 MBS '16 (A) Erasmus '16
Send PM
If negative integers k and p are NOT both even, which of the [#permalink] New post   Updated on: 26 Jan 2013, 16:00
1
Kudos
1
Bookmarks
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

73% (01:23) correct 27% (01:16) wrong based on 322 sessions
Hide Show timer Statistics
If negative integers k and p are NOT both even, which of the following must be odd?

(A) kp
(B) 4(k + p)
(C) k – p
(D) k + 1 – p
(E) 2(k + p) – 1
ShowHide Answer
Official Answer
E

Originally posted by marcovg4 on 26 Jan 2013, 15:52.
Last edited by Bunuel on 26 Jan 2013, 16:00, edited 1 time in total.
Renamed the topic and edited the question.
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92902
Own Kudos [?]: 618751 [2]
Given Kudos: 81587
Send PM
CAT Tests Forum Quiz Mode
Re: If negative integers k and p are NOT both even, which of the [#permalink] New post   22 Aug 2014, 10:32
2
Kudos
Expert Reply
sri30kanth wrote:
Bunuel,

Does "NOT both even" mean both k and p cant be even simultaneously?


k and p are NOT both even, means that k and p can be both odd, or one odd and another even but not both even.
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92902
Own Kudos [?]: 618751 [4]
Given Kudos: 81587
Send PM
CAT Tests Forum Quiz Mode
Re: Odds and Evens PS [#permalink] New post   26 Jan 2013, 16:00
1
Kudos
3
Bookmarks
Expert Reply
marcovg4 wrote:
If a negative k and p are NOT both even, which of the following must be odd?

A. kp
B. 4(k + p)
C. k - p
D. k + 1 - p
E. 2(k + p) - 1


The question should read:
If negative integers k and p are NOT both even, which of the following must be odd?

(A) kp --> can be even if either k or p is even.
(B) 4(k + p) --> always even.
(C) k – p --> can be even as well as odd. For example consider k-p=odd-odd=even and k-p=odd-even=odd.
(D) k + 1 – p --> can be even as well as odd. For example consider, k+1-p=odd+odd-odd=odd and k+1-p=odd+odd-even=even.
(E) 2(k + p) – 1 --> always odd, because: 2(k+p)-1=2*integer-odd=even-odd=odd.

Answer: E.

Hope it's cler.
avatar
marcovg4
Intern
Intern
Joined: 15 Mar 2012
Posts: 45
Own Kudos [?]: 39 [0]
Given Kudos: 19
Location: United States
Concentration: Marketing, Strategy
Schools: ESADE '15 MBS '16 (A) Erasmus '16
Send PM
Re: If negative integers k and p are NOT both even, which of the [#permalink] New post   26 Jan 2013, 16:20
Totally!

I had a dilemma yesterday while answering the question, whether the answer was A or E, but a closer look shows that "both NOT even" infer that one of them could be even, and that's the part I had trouble with. I thought that "both NOT even = both ARE odd".

Thanks for the help Bunuel!
User avatar
Vips0000
Current Student
Joined: 15 Sep 2012
Status:Done with formalities.. and back..
Posts: 525
Own Kudos [?]: 1187 [0]
Given Kudos: 23
Location: India
Concentration: Strategy, General Management
Schools: Olin - Wash U - Class of 2015
WE:Information Technology (Computer Software)
Send PM
GMAT ToolKit User Reviews Badge
Re: If negative integers k and p are NOT both even, which of the [#permalink] New post   28 Jan 2013, 04:41
marcovg4 wrote:
Totally!

I had a dilemma yesterday while answering the question, whether the answer was A or E, but a closer look shows that "both NOT even" infer that one of them could be even, and that's the part I had trouble with. I thought that "both NOT even = both ARE odd".

Thanks for the help Bunuel!

Actually irrespective of whether they are odd or even, choice E gives an odd number. It's 2 times some number -1 or simply even number - 1, hence odd.
You don't need to look beyond.
User avatar
sri30kanth
Intern
Intern
Joined: 28 May 2014
Posts: 39
Own Kudos [?]: 5 [0]
Given Kudos: 31
Schools: NTU '16
GMAT 1: 620 Q49 V27
Send PM
Re: If negative integers k and p are NOT both even, which of the [#permalink] New post   22 Aug 2014, 09:23
Bunuel,

Does "NOT both even" mean both k and p cant be even simultaneously?
User avatar
L
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6072
Own Kudos [?]: 4689 [0]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
GMAT ToolKit User
Re: If negative integers k and p are NOT both even, which of the [#permalink] New post   10 Apr 2017, 11:01
marcovg4 wrote:
If negative integers k and p are NOT both even, which of the following must be odd?

(A) kp
(B) 4(k + p)
(C) k – p
(D) k + 1 – p
(E) 2(k + p) – 1


There are 2 possibilities -

1. Both k & p are odd

Plug in 2 values k = -1 & p = -3

(A) kp = 3
(B) 4(k + p) = -16
(C) k – p = 2
(D) k + 1 – p = -3
(E) 2(k + p) – 1 = -9

2. Either k or p is odd and the other is even

Plug in 2 values k = -1 & p = -2

(A) kp = 2
(B) 4(k + p) = -12
(C) k – p = 1
(D) k + 1 – p = -2
(E) 2(k + p) – 1 = -7

Thus, the answer must be (E) -7
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32649
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: If negative integers k and p are NOT both even, which of the [#permalink] New post   04 Apr 2019, 16:43
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 Club Bot
gmatclubot
Re: If negative integers k and p are NOT both even, which of the [#permalink]
04 Apr 2019, 16:43
Moderators:
Bunuel
Math Expert
92902 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions