It is currently 17 Nov 2017, 21:58

### 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

# Events & Promotions

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

# x+y+z is even, is x*y*z even?

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

### Hide Tags

Manager
Joined: 06 Apr 2010
Posts: 80

Kudos [?]: 44 [0], given: 2

x+y+z is even, is x*y*z even? [#permalink]

### Show Tags

16 Jun 2010, 22:50
5
This post was
BOOKMARKED
00:00

Difficulty:

95% (hard)

Question Stats:

22% (02:24) correct 78% (01:22) wrong based on 103 sessions

### HideShow timer Statistics

x+y+z is even, is x*y*z even?

(1) x*y even
(2) y*z odd

How does one answer if the variables are not specified as integers? Does gmat try to sneak in this kind of question? thanks!
P/S : I don't know the OA
[Reveal] Spoiler: OA

Kudos [?]: 44 [0], given: 2

Manager
Joined: 30 May 2010
Posts: 189

Kudos [?]: 255 [0], given: 32

Re: Odd/even [#permalink]

### Show Tags

17 Jun 2010, 09:27
In order for a number to be even or odd, it must be an integer.

Kudos [?]: 255 [0], given: 32

Retired Moderator
Status: The last round
Joined: 18 Jun 2009
Posts: 1286

Kudos [?]: 1236 [0], given: 157

Concentration: Strategy, General Management
GMAT 1: 680 Q48 V34
Re: Odd/even [#permalink]

### Show Tags

18 Jun 2010, 22:38
I hate such questions!!

If x+y+z is even, & xyz are integers then in any case xyz will also be even. But the question has given us two options, hence assuming that x,y & z are not integers or not all integers. e.g x=3.5 y=4.5 z=2 or vice versa.

I think its "C"
_________________

Kudos [?]: 1236 [0], given: 157

Manager
Joined: 05 Mar 2010
Posts: 202

Kudos [?]: 38 [0], given: 8

Re: Odd/even [#permalink]

### Show Tags

19 Jun 2010, 04:15
Here's my solution

any even or odd number is an integer.

Given condition -> x+y+z = even, so only two possibles either 2 of them are odd and one is even, or all three are even

Stmt 1 - considering both the possibilities, if x*y is even means withe x can be odd or y can be even or vice versa, or both can be even. Now if z is odd or even, the result will be an even integer. SUFFICIENT

Stmt 2 - y*z is odd, means both should be odd. That means x is even (to satisfy given condition). the result will be an even integer. SUFFICIENT

I will go with D

Whts the OA?
_________________

Success is my Destiny

Kudos [?]: 38 [0], given: 8

Manager
Joined: 07 Jun 2010
Posts: 50

Kudos [?]: 50 [0], given: 7

Location: United States
Re: Odd/even [#permalink]

### Show Tags

19 Jun 2010, 11:34
x+y+z is even, is x*y*z even?
1) x*y even
2) y*z odd

x+y+z = even , here we have 4 scenarios

1. E + E + E
2. O + O + E
3. O + e + O
4. E + O + O

(I) X * Y = EVEN

SO WE HAVE FOLLOWING POSSIBILITIES
X Y
EVEN EVEN
EVEN ODD
ODD EVEN

SO CLEARLY 1 IS INSUFFI

(2) Y*Z = ODD

Y Z
ODD ODD

SO CLEARLY 2 IS INSUFFI

SO COMBINING BOTH MEANS EVEN ODD ODD WE CAN SOLVE

ANS C

Kudos [?]: 50 [0], given: 7

Intern
Joined: 12 May 2010
Posts: 21

Kudos [?]: 1 [0], given: 0

Re: Odd/even [#permalink]

### Show Tags

19 Jun 2010, 12:50
you r wrong. for a yes/no que the answer is d.

Kudos [?]: 1 [0], given: 0

Math Expert
Joined: 02 Sep 2009
Posts: 42248

Kudos [?]: 132526 [1], given: 12324

Re: Odd/even [#permalink]

### Show Tags

19 Jun 2010, 13:17
1
This post received
KUDOS
Expert's post
2
This post was
BOOKMARKED
Eden wrote:
x+y+z is even, is x*y*z even?
1) x*y even
2) y*z odd

How does one answer if the variables are not specified as integers? Does gmat try to sneak in this kind of question? thanks!
P/S : I don't know the OA

Note that we are not told that $$x$$, $$y$$, and $$z$$ are integrs.

Given: $$x+y+z=even$$. Question: $$xyz=even$$?

(1) $$xy=even$$ --> if $$x=\frac{4}{5}$$, $$y=5$$ and $$z=\frac{1}{5}$$
($$xy=even=4$$, $$x+y+z=6=even$$), then the answer would be NO as $$xyz=\frac{4}{5}\neq{integer}$$ but if $$x=0$$ and $$y+z=any \ odd+any \ odd=some \ even$$, then the answer would be YES. Not sufficient.

(2) $$yz=odd$$ --> again if $$x=\frac{4}{5}$$, $$y=5$$ and $$z=\frac{1}{5}$$
($$yz=odd=1$$, $$x+y+z=6=even$$), then the answer would be NO as $$xyz=\frac{4}{5}\neq{integer}$$ but if $$x=0$$ and $$y+z=any \ odd+any \ odd=some \ even$$, then the answer would be YES. Not sufficient.

(1)+(2) the same here: if $$x=\frac{4}{5}$$, $$y=5$$ and $$z=\frac{1}{5}$$, then the answer would be NO as $$xyz=\frac{4}{5}\neq{integer}$$ but if $$x=0$$ and $$y+z=any \ odd+any \ odd=some \ even$$, then the answer would be YES. Not sufficient.

Answer: E.
_________________

Kudos [?]: 132526 [1], given: 12324

Intern
Joined: 12 May 2010
Posts: 21

Kudos [?]: 1 [0], given: 0

Re: Odd/even [#permalink]

### Show Tags

19 Jun 2010, 13:27
u r right. nice one. tnx

Kudos [?]: 1 [0], given: 0

Non-Human User
Joined: 09 Sep 2013
Posts: 15710

Kudos [?]: 281 [1], given: 0

Re: x+y+z is even, is x*y*z even? [#permalink]

### Show Tags

14 Apr 2016, 06:38
1
This post received
KUDOS
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 [?]: 281 [1], given: 0

Non-Human User
Joined: 09 Sep 2013
Posts: 15710

Kudos [?]: 281 [0], given: 0

Re: x+y+z is even, is x*y*z even? [#permalink]

### Show Tags

15 May 2017, 15:34
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 [?]: 281 [0], given: 0

Re: x+y+z is even, is x*y*z even?   [#permalink] 15 May 2017, 15:34
Display posts from previous: Sort by

# x+y+z is even, is x*y*z even?

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 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®.