Last visit was: 24 Apr 2026, 17:58 It is currently 24 Apr 2026, 17:58
Home
Messages
Tests
Schools
Events
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
Back to Forum
Create Topic
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 24 Apr 2026
Posts: 109,818
Own Kudos:
811,081
 [2]
Given Kudos: 105,873
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,818
Kudos: 811,081
 [2]
If x and y are positive integers, then xy + x is 17 Aug 2016, 01:57
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

25% (medium)

Question Stats:

72% (01:08) correct 28% (01:15) wrong based on 164 sessions

History

Date
Time
Result
Not Attempted Yet
If x and y are positive integers, then xy + x is

A. Always even
B. Always odd
C. Even whenever x is even
D. Even whenever x + y is odd
E. It cannot be determined from the information given
ShowHide Answer
Official Answer
C
User avatar
msk0657
User avatar
Retired Moderator
Joined: 26 Nov 2012
Last visit: 14 Feb 2020
Posts: 455
Own Kudos:
569
Given Kudos: 46
Posts: 455
Kudos: 569
If x and y are positive integers, then xy + x is 17 Aug 2016, 02:32
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If x and y are positive integers, then xy + x is

A. Always even
B. Always odd
C. Even whenever x is even
D. Even whenever x + y is odd
E. It cannot be determined from the information given
Show more

x and y are positive integers, then xy + x..

Let's take even as 2 and odd as 3.


IMO option A is correct answer..
Attachments

result 2.png
result 2.png [ 1.75 KiB | Viewed 2961 times ]

avatar
Anigr16
avatar
Joined: 23 Jan 2015
Last visit: 11 Jan 2017
Posts: 28
Own Kudos:
51
Given Kudos: 76
Location: India
Concentration: Operations
Schools: Sauder '18 Schulich Jan'19 Alberta"19 SP Jain GMBA "18 XLRI GM"18 Molson '19 Schulich Sept"19
WE:Information Technology (Computer Software)
Schools: Sauder '18 Schulich Jan'19 Alberta"19 SP Jain GMBA "18 XLRI GM"18 Molson '19 Schulich Sept"19
Posts: 28
Kudos: 51
If x and y are positive integers, then xy + x is 17 Aug 2016, 05:06
Kudos
Add Kudos
Bookmarks
Bookmark this Post
msk0657
Bunuel
If x and y are positive integers, then xy + x is

A. Always even
B. Always odd
C. Even whenever x is even
D. Even whenever x + y is odd
E. It cannot be determined from the information given

x and y are positive integers, then xy + x..

Let's take even as 2 and odd as 3.


IMO option A is correct answer..
Show more

If you consider your fourth scenario, that turns out to be odd.
Hence option C should be correct.
User avatar
msk0657
User avatar
Retired Moderator
Joined: 26 Nov 2012
Last visit: 14 Feb 2020
Posts: 455
Own Kudos:
569
Given Kudos: 46
Posts: 455
Kudos: 569
If x and y are positive integers, then xy + x is 17 Aug 2016, 05:13
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Anigr16
msk0657
Bunuel
If x and y are positive integers, then xy + x is

A. Always even
B. Always odd
C. Even whenever x is even
D. Even whenever x + y is odd
E. It cannot be determined from the information given

x and y are positive integers, then xy + x..

Let's take even as 2 and odd as 3.


IMO option A is correct answer..

If you consider your fourth scenario, that turns out to be odd.
Hence option C should be correct.
Show more

Ya..you are correct..missed to check that...
avatar
nayanparikh
avatar
Joined: 08 Nov 2015
Last visit: 28 Nov 2025
Posts: 39
Own Kudos:
67
Given Kudos: 29
GMAT 1: 460 Q32 V22
GMAT 1: 460 Q32 V22
Posts: 39
Kudos: 67
If x and y are positive integers, then xy + x is 17 Aug 2016, 06:01
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If x and y are positive integers, then xy + x is

A. Always even
B. Always odd
C. Even whenever x is even
D. Even whenever x + y is odd
E. It cannot be determined from the information given
Show more

I think the correct answer here is E.
See the following table
Attachments

Table.jpg
Table.jpg [ 10.66 KiB | Viewed 2904 times ]

avatar
Stn
avatar
Joined: 20 Dec 2014
Last visit: 07 Apr 2017
Posts: 29
Own Kudos:
55
Given Kudos: 3
Posts: 29
Kudos: 55
If x and y are positive integers, then xy + x is 17 Aug 2016, 07:02
Kudos
Add Kudos
Bookmarks
Bookmark this Post
nayanparikh

In your table if x is even, then xy+x is even, so C.
Attachments

ODDEVEN.JPG
ODDEVEN.JPG [ 16.76 KiB | Viewed 2826 times ]

User avatar
Donnie84
User avatar
Joined: 04 Jan 2014
Last visit: 25 Jun 2025
Posts: 496
Own Kudos:
280
Given Kudos: 15
GMAT 1: 660 Q48 V32
GMAT 2: 630 Q48 V28
GMAT 3: 680 Q48 V35
GMAT 3: 680 Q48 V35
Posts: 496
Kudos: 280
If x and y are positive integers, then xy + x is 18 Aug 2016, 17:22
Kudos
Add Kudos
Bookmarks
Bookmark this Post
xy + x can be factorized as x(y + 1) by taking out x common.

Now, anything multiplied by even is always even.

Answer (C).
User avatar
CareerGeek
User avatar
Joined: 20 Jul 2017
Last visit: 24 Apr 2026
Posts: 1,286
Own Kudos:
4,432
Given Kudos: 162
Location: India
Concentration: Entrepreneurship, Marketing
GMAT 1: 690 Q51 V30
WE:Education (Education)
GMAT 1: 690 Q51 V30
Posts: 1,286
Kudos: 4,432
If x and y are positive integers, then xy + x is 29 Jun 2019, 04:39
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If x and y are positive integers, then xy + x is

A. Always even
B. Always odd
C. Even whenever x is even
D. Even whenever x + y is odd
E. It cannot be determined from the information given
Show more


Case x y xy + x
Case1 E E E*E + E = E + E = Even always
Case2 E O E*O + O = E + O = Odd always
Case3 O E O*E + E = E + E = Even always
Case4 O O O*O + O = O + O = Even always

A. Always even - NO
B. Always odd - NO
C. Even whenever x is even - YES
D. Even whenever x + y is odd - NO [One even & one odd, Case2 —> Odd, Case3 —> Even]
E. It cannot be determined from the information given - NO

IMO Option C

Pls Hit kudos if you like the solution

Posted from my mobile device
avatar
prodigyazu
avatar
Joined: 18 Jun 2017
Last visit: 04 Jul 2021
Posts: 7
Own Kudos:
6
Given Kudos: 123
Location: India
Concentration: Sustainability, Social Entrepreneurship
Schools: Great Lakes '21 (A) Trinity College MBA "21
GMAT 1: 670 Q44 V38
WE:Information Technology (Computer Software)
Schools: Great Lakes '21 (A) Trinity College MBA "21
GMAT 1: 670 Q44 V38
Posts: 7
Kudos: 6
If x and y are positive integers, then xy + x is 26 Jul 2019, 08:03
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If x and y are positive integers, then xy + x is

A. Always even
B. Always odd
C. Even whenever x is even
D. Even whenever x + y is odd
E. It cannot be determined from the information given
Show more

Why are we considering that x and y are distinct positive integers? If x and y are the same, then the result can be even in case x is odd.
Moderators:
Bunuel
Math Expert
109818 posts
Krunaal
Tuck School Moderator
853 posts