Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 24 May 2017, 02:00

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 x is an integer, is x even?

Author Message
TAGS:

Hide Tags

Intern
Joined: 04 Oct 2007
Posts: 5
Followers: 0

Kudos [?]: 3 [1] , given: 0

If x is an integer, is x even? [#permalink]

Show Tags

05 Oct 2007, 00:21
1
KUDOS
3
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

62% (02:01) correct 38% (01:18) wrong based on 231 sessions

HideShow timer Statistics

If x is an integer, is x even?

(1) x^2 - y^2 = 0
(2) x^2 + y^2 = 18
[Reveal] Spoiler: OA

Last edited by Bunuel on 27 May 2013, 05:10, edited 2 times in total.
Edited the question
VP
Joined: 08 Jun 2005
Posts: 1145
Followers: 7

Kudos [?]: 213 [0], given: 0

Show Tags

05 Oct 2007, 01:04
If X is an integer, is X even ?

statement I

X^2 - Y^2 = 0

(X+Y)(X-Y) = 0

X + Y = 0

X = -Y

or

X - Y = 0

X = Y

insufficient

statement II

X^2 + Y^2 = 18

X = 3 and Y = 3 or X = 2 and Y = sqrt(14)

insufficient

both statements

X = Y or X = -Y

X^2 + Y^2 = 18

X is an integer

X = 3 and Y = 3 or X = 3 and Y =-3

either way can't be even

sufficient !

Director
Joined: 03 May 2007
Posts: 876
Schools: University of Chicago, Wharton School
Followers: 6

Kudos [?]: 208 [0], given: 7

Show Tags

05 Oct 2007, 01:08
Pla~Yang wrote:
I don't understand this question, please explain me why the answer is C ?

Q : If X is an integer, is X even

I. X2 - Y2 = 0
II. X2 + Y2 = 18

C. should be C.

from i and ii, x has to be + or - 3. since x is an integer and lxl = lyl, y also has to be an integer as x^2 = y^2 from st 1.

from 2, we know that 2x^2 = 18 when we consider st 1 as well. so x = + or -3. so it is C.
Intern
Joined: 04 Oct 2007
Posts: 5
Followers: 0

Kudos [?]: 3 [0], given: 0

Show Tags

05 Oct 2007, 01:29
Thank you your for explanation, but i still don't understand.
Either way can't be even and the answer still C not E

Q : Are V and W integers?
I. sqrt(V+W) is an integer
II. V/W is an integer

How diff. btw these 2 questions??
VP
Joined: 08 Jun 2005
Posts: 1145
Followers: 7

Kudos [?]: 213 [0], given: 0

Show Tags

05 Oct 2007, 01:47
Pla~Yang wrote:
Thank you your for explanation, but i still don't understand.
Either way can't be even and the answer still C not E

Q : Are V and W integers?
I. sqrt(V+W) is an integer
II. V/W is an integer

How diff. btw these 2 questions??

You where asked a yes or no question. So the answer is no ! You have enough data to determine the answer (in this case the answer is no).

Intern
Joined: 04 Oct 2007
Posts: 5
Followers: 0

Kudos [?]: 3 [0], given: 0

Show Tags

05 Oct 2007, 02:22
I get it!!
and it's diff from question below because this Q below got integer and decimal in both I & II. So we can't determine yes or no, right??
Q : Are V and W integers?
I. sqrt(V+W) is an integer
II. V/W is an integer
VP
Joined: 08 Jun 2005
Posts: 1145
Followers: 7

Kudos [?]: 213 [0], given: 0

Show Tags

05 Oct 2007, 02:27
Pla~Yang wrote:
I get it!!
and it's diff from question below because this Q below got integer and decimal in both I & II. So we can't determine yes or no, right??
Q : Are V and W integers?
I. sqrt(V+W) is an integer
II. V/W is an integer

you are correct !

Are V and W integers?

statement I

sqrt(V+M) is an integer

can be V=M=2 or V=M=1/2

insufficient

statement II

V/W is an integer

V=W=sqrt(2)

sqrt(2)/sqrt(2) = 1 ---> integer

or

V=W=2

2/2 = 1 ---> integer

insufficient

whats the OA ?

VP
Joined: 10 Jun 2007
Posts: 1444
Followers: 7

Kudos [?]: 285 [0], given: 0

Show Tags

05 Oct 2007, 07:33
Pla~Yang wrote:
I don't understand this question, please explain me why the answer is C ?
Q : If X is an integer, is X even
I. X2 - Y2 = 0
II. X2 + Y2 = 18
[/code]

should be C...

Irrelevant Question...
Is Pla-Yang = Grill Fish?
Manager
Joined: 22 Jan 2012
Posts: 90
Location: India
Concentration: General Management, Technology
GPA: 3.3
WE: Engineering (Consulting)
Followers: 6

Kudos [?]: 117 [1] , given: 9

Re: If X is an integer, is X even [#permalink]

Show Tags

13 Mar 2012, 19:52
1
KUDOS
1. X^2 - y^2 = 0 ==> x^2 = y^2. not sufficient
2. x^2 + y^2 = 18 not sufficient

1 and 2 ==> x^2 + x^2 = 18 ==> x = +/- 3
in both cases it is not even so sufficient
_________________

Press +1 Kudos rather than saying thanks

Ill be posting good questions as many as I can...

Towards Success

Math Expert
Joined: 02 Sep 2009
Posts: 38850
Followers: 7721

Kudos [?]: 105953 [1] , given: 11602

Re: If x is an integer, is x even? [#permalink]

Show Tags

14 Mar 2012, 10:56
1
KUDOS
Expert's post
1
This post was
BOOKMARKED
If x is an integer, is x even?

(1) x^2 - y^2 = 0 --> x^2=y^2 --> |x|=|y| --> x can be odd as well as even. Not sufficient.

(2) x^2 + y^2 = 18 --> clearly insufficient, for example x can 0, so even as well as 1, so odd.

(1)+(2) Add up equations: 2x^2=18 --> x^2=9 --> x=3=odd or x=-3=odd. Sufficient.

_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15413
Followers: 649

Kudos [?]: 206 [0], given: 0

Re: If x is an integer, is x even? [#permalink]

Show Tags

03 Oct 2014, 22:54
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.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15413
Followers: 649

Kudos [?]: 206 [0], given: 0

Re: If x is an integer, is x even? [#permalink]

Show Tags

01 Aug 2016, 02:28
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.
_________________
BSchool Forum Moderator
Joined: 12 Aug 2015
Posts: 2133
Followers: 73

Kudos [?]: 605 [0], given: 551

Re: If x is an integer, is x even? [#permalink]

Show Tags

01 Jan 2017, 11:43
Additionally if we add " x and y are positive integers to the stem"
Then B would be sufficient

_________________

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

Re: If x is an integer, is x even?   [#permalink] 01 Jan 2017, 11:43
Similar topics Replies Last post
Similar
Topics:
1 If x is an integer, is x even? 2 23 Jan 2017, 11:03
4 If x is an integer, is x even? 5 21 Nov 2016, 00:48
If x is an integer, is x even? 4 07 Jul 2015, 14:45
13 If x is an integer, is x even? 7 30 Dec 2016, 02:26
3 If x is an integer, is x even? 6 23 May 2016, 21:41
Display posts from previous: Sort by

If x is an integer, is x even?

 Powered by phpBB © phpBB Group and phpBB SEO 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®.