It is currently 13 Dec 2017, 09:11

# Decision(s) Day!:

CHAT Rooms | Ross R1 | Kellogg R1 | Darden R1 | Tepper R1

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

### Hide Tags

Manager
Joined: 15 Mar 2012
Posts: 57

Kudos [?]: 22 [1], given: 19

Location: United States
Concentration: Marketing, Strategy
If negative integers k and p are NOT both even, which of the [#permalink]

### Show Tags

26 Jan 2013, 14:52
1
KUDOS
1
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

70% (00:56) correct 30% (00:54) wrong based on 231 sessions

### HideShow 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
[Reveal] Spoiler: OA

_________________

MV
"Better to fight for something than live for nothing.” ― George S. Patton Jr

Last edited by Bunuel on 26 Jan 2013, 15:00, edited 1 time in total.
Renamed the topic and edited the question.

Kudos [?]: 22 [1], given: 19

Math Expert
Joined: 02 Sep 2009
Posts: 42585

Kudos [?]: 135508 [1], given: 12697

Re: Odds and Evens PS [#permalink]

### Show Tags

26 Jan 2013, 15:00
1
KUDOS
Expert's post
3
This post was
BOOKMARKED
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

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.

Hope it's cler.
_________________

Kudos [?]: 135508 [1], given: 12697

Manager
Joined: 15 Mar 2012
Posts: 57

Kudos [?]: 22 [0], given: 19

Location: United States
Concentration: Marketing, Strategy
Re: If negative integers k and p are NOT both even, which of the [#permalink]

### Show Tags

26 Jan 2013, 15:20
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!
_________________

MV
"Better to fight for something than live for nothing.” ― George S. Patton Jr

Kudos [?]: 22 [0], given: 19

Director
Status: Done with formalities.. and back..
Joined: 15 Sep 2012
Posts: 635

Kudos [?]: 672 [0], given: 23

Location: India
Concentration: Strategy, General Management
Schools: Olin - Wash U - Class of 2015
WE: Information Technology (Computer Software)
Re: If negative integers k and p are NOT both even, which of the [#permalink]

### Show Tags

28 Jan 2013, 03:41
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.
_________________

Lets Kudos!!!
Black Friday Debrief

Kudos [?]: 672 [0], given: 23

Non-Human User
Joined: 09 Sep 2013
Posts: 14872

Kudos [?]: 287 [0], given: 0

Re: If negative integers k and p are NOT both even, which of the [#permalink]

### Show Tags

11 Jul 2014, 09:21
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.
_________________

Kudos [?]: 287 [0], given: 0

Manager
Joined: 28 May 2014
Posts: 60

Kudos [?]: 2 [0], given: 31

Schools: NTU '16
GMAT 1: 620 Q49 V27
Re: If negative integers k and p are NOT both even, which of the [#permalink]

### Show Tags

22 Aug 2014, 08:23
Bunuel,

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

Kudos [?]: 2 [0], given: 31

Math Expert
Joined: 02 Sep 2009
Posts: 42585

Kudos [?]: 135508 [1], given: 12697

Re: If negative integers k and p are NOT both even, which of the [#permalink]

### Show Tags

22 Aug 2014, 09:32
1
KUDOS
Expert's post
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.
_________________

Kudos [?]: 135508 [1], given: 12697

Non-Human User
Joined: 09 Sep 2013
Posts: 14872

Kudos [?]: 287 [0], given: 0

Re: If negative integers k and p are NOT both even, which of the [#permalink]

### Show Tags

10 Apr 2017, 09:40
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.
_________________

Kudos [?]: 287 [0], given: 0

Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3108

Kudos [?]: 1145 [0], given: 327

Location: India
GPA: 3.5
Re: If negative integers k and p are NOT both even, which of the [#permalink]

### Show Tags

10 Apr 2017, 10:01
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
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Kudos [?]: 1145 [0], given: 327

Re: If negative integers k and p are NOT both even, which of the   [#permalink] 10 Apr 2017, 10:01
Display posts from previous: Sort by