It is currently 21 Nov 2017, 21:29

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 = y + 2 and x is an even integer, which of the following could be

  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: 42281

Kudos [?]: 132984 [0], given: 12400

If x = y + 2 and x is an even integer, which of the following could be [#permalink]

Show Tags

New post 10 Dec 2016, 06:13
Expert's post
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

77% (01:16) correct 23% (01:39) wrong based on 110 sessions

HideShow timer Statistics

Kudos [?]: 132984 [0], given: 12400

1 KUDOS received
Senior Manager
Senior Manager
avatar
B
Joined: 13 Oct 2016
Posts: 367

Kudos [?]: 402 [1], given: 40

GPA: 3.98
Re: If x = y + 2 and x is an even integer, which of the following could be [#permalink]

Show Tags

New post 10 Dec 2016, 06:34
1
This post received
KUDOS
2
This post was
BOOKMARKED
\(x=y+2\) ---->if \(x\)-even then \(y\) must be even too

\(x+y = y+y+2 = 2y+2 = 2(y+1) = 2(even+1) = 2*odd\)

\(\frac{x+y}{2} = odd\)

A) 140/2 = 70 even
B) 146/2 = 73 odd
C) 148/2= 74 even
D) 152/2 = 76 even
E) 156/2 = 78 even

Answer B

Kudos [?]: 402 [1], given: 40

Expert Post
1 KUDOS received
Math Expert
User avatar
P
Joined: 02 Aug 2009
Posts: 5223

Kudos [?]: 5868 [1], given: 118

Re: If x = y + 2 and x is an even integer, which of the following could be [#permalink]

Show Tags

New post 10 Dec 2016, 06:44
1
This post received
KUDOS
Expert's post
Bunuel wrote:
If x = y + 2 and x is an even integer, which of the following could be the sum of x and y?

A. 140
B. 146
C. 148
D. 152
E. 156


Another way to look at it..
Both x and y are even but ONLY one will be divisible by 4 and other will be not, so their SUM will not be divisible by 4..
ONLY B is not div by 4
B
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 5868 [1], given: 118

1 KUDOS received
Retired Moderator
avatar
P
Joined: 12 Aug 2015
Posts: 2213

Kudos [?]: 876 [1], given: 602

GMAT ToolKit User Premium Member
Re: If x = y + 2 and x is an even integer, which of the following could be [#permalink]

Show Tags

New post 10 Dec 2016, 09:31
1
This post received
KUDOS
Fabulous..!! chetan2u
+1 to you.

Here is what i did-->
I took the long route.
x-> Even
So y->Even

Option 1->
x+y=140
2y+2= 140
2y=138
y=> odd => Rejected

Option 2->
x+y=146
2y=144
y=72
Hence x=74
Acceptable.
Hence B

_________________

Give me a hell yeah ...!!!!!

Kudos [?]: 876 [1], given: 602

Intern
Intern
avatar
B
Joined: 20 Mar 2017
Posts: 1

Kudos [?]: 0 [0], given: 11

If x = y + 2 and x is an even integer, which of the following could be [#permalink]

Show Tags

New post 10 Sep 2017, 01:19
chetan2u wrote:
Bunuel wrote:
If x = y + 2 and x is an even integer, which of the following could be the sum of x and y?

A. 140
B. 146
C. 148
D. 152
E. 156


Another way to look at it..
Both x and y are even but ONLY one will be divisible by 4 and other will be not, so their SUM will not be divisible by 4..
ONLY B is not div by 4
B


Hi chetan2u
I dont understand why only 1 will be divisible by 4 and other will not be. Can you please explain ?

Kudos [?]: 0 [0], given: 11

Expert Post
Math Expert
User avatar
P
Joined: 02 Aug 2009
Posts: 5223

Kudos [?]: 5868 [0], given: 118

Re: If x = y + 2 and x is an even integer, which of the following could be [#permalink]

Show Tags

New post 10 Sep 2017, 02:41
Thiyag wrote:
chetan2u wrote:
Bunuel wrote:
If x = y + 2 and x is an even integer, which of the following could be the sum of x and y?

A. 140
B. 146
C. 148
D. 152
E. 156


Another way to look at it..
Both x and y are even but ONLY one will be divisible by 4 and other will be not, so their SUM will not be divisible by 4..
ONLY B is not div by 4
B


Hi chetan2u
I dont understand why only 1 will be divisible by 4 and other will not be. Can you please explain ?


Hi..

You pick up any two consecutive even integer, one will be multiple of 4 & other not..
Say you pick y=2, x=2+2=4..... Only x is div by 4
Pick y as 4, x=4+2=6..... Only y is MULTIPLE of 4
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 5868 [0], given: 118

Re: If x = y + 2 and x is an even integer, which of the following could be   [#permalink] 10 Sep 2017, 02:41
Display posts from previous: Sort by

If x = y + 2 and x is an even integer, which of the following could be

  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®.