GMAT Changed on April 16th - Read about the latest changes here

It is currently 22 Apr 2018, 22:48

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 x and y are integers, which of the following must be an even intege

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 44609
If x and y are integers, which of the following must be an even intege [#permalink]

Show Tags

New post 12 Mar 2018, 21:46
Expert's post
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

94% (00:27) correct 6% (00:09) wrong based on 77 sessions

HideShow timer Statistics

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 44609
Re: If x and y are integers, which of the following must be an even intege [#permalink]

Show Tags

New post 12 Mar 2018, 21:50
Bunuel wrote:
If x and y are integers, which of the following must be an even integer?

A. x + y
B. x + y + 1
C. 2xy + 1
D. 2xy + 2
E. 2x/y


2. Properties of Integers



For other subjects:
ALL YOU NEED FOR QUANT ! ! !
Ultimate GMAT Quantitative Megathread
_________________

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

Intern
Intern
avatar
B
Joined: 18 Jul 2016
Posts: 25
Re: If x and y are integers, which of the following must be an even intege [#permalink]

Show Tags

New post 12 Mar 2018, 22:07
IMO D

A)
when both x,y = even/odd ; x + y = even
when x =even, y = odd ; x+ y = odd
when x =odd, y = even; x+ y = odd
B)
when x+ y = odd; x + y+ 1 = even
when x+ y = even ; x + y+ 1 = odd

C) 2xy + 1 => 2xy --always even + 1 = odd

D) 2xy + 2 = even + even = even => answer

E) 2x/y => result may or may not be an integer
Manager
Manager
avatar
S
Joined: 01 Feb 2017
Posts: 105
Re: If x and y are integers, which of the following must be an even intege [#permalink]

Show Tags

New post 13 Mar 2018, 11:57
Ans D

X and y are integers

xy- An Integer
2xy- Even Integer
2xy + 2- Even + Even- Even Integer

Posted from my mobile device
Director
Director
avatar
G
Joined: 07 Dec 2014
Posts: 963
If x and y are integers, which of the following must be an even intege [#permalink]

Show Tags

New post 13 Mar 2018, 18:35
Bunuel wrote:
If x and y are integers, which of the following must be an even integer?

A. x + y
B. x + y + 1
C. 2xy + 1
D. 2xy + 2
E. 2x/y


2xy+2=2(xy+1)
as a multiple of 2, it must be even
D
Expert Post
Target Test Prep Representative
User avatar
G
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2447
Location: United States (CA)
Re: If x and y are integers, which of the following must be an even intege [#permalink]

Show Tags

New post 15 Mar 2018, 10:14
Bunuel wrote:
If x and y are integers, which of the following must be an even integer?

A. x + y
B. x + y + 1
C. 2xy + 1
D. 2xy + 2
E. 2x/y


Since even + even = even, and since 2xy and 2 are even, 2xy + 2 = even.

Answer: D
_________________

Scott Woodbury-Stewart
Founder and CEO

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

Intern
Intern
avatar
B
Joined: 14 Jan 2018
Posts: 7
Re: If x and y are integers, which of the following must be an even intege [#permalink]

Show Tags

New post 18 Mar 2018, 21:40
Bunuel wrote:
If x and y are integers, which of the following must be an even integer?

A. x + y
B. x + y + 1
C. 2xy + 1
D. 2xy + 2
E. 2x/y

IMO D
Even Number: 2*anything
Odd number: 2*n + 1
D: (2xy+2)----> 2(xy+1)---->2*anything. so D is the answer
Re: If x and y are integers, which of the following must be an even intege   [#permalink] 18 Mar 2018, 21:40
Display posts from previous: Sort by

If x and y are integers, which of the following must be an even intege

  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®.