GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 25 May 2020, 00:33

### 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

# If 0<=x<=4 and y<12, which of the following

Author Message
TAGS:

### Hide Tags

Manager
Joined: 01 Dec 2011
Posts: 62
If 0<=x<=4 and y<12, which of the following  [#permalink]

### Show Tags

06 Feb 2012, 02:57
5
4
00:00

Difficulty:

5% (low)

Question Stats:

89% (00:55) correct 11% (00:58) wrong based on 444 sessions

### HideShow timer Statistics

If $$0 \leq x \leq 4$$ and $$y < 12$$, which of the following CANNOT be the value of xy?

A. -2
B. 0
C. 6
D. 24
E. 48
Math Expert
Joined: 02 Sep 2009
Posts: 64071
Re: if o<=x<=4 and y<12, which of the following  [#permalink]

### Show Tags

06 Feb 2012, 03:01
2
3
fiendex wrote:
If $$0 \leq x \leq 4$$ and $$y < 12$$, which of the following CANNOT be the value of xy?

A) -2
B) 0
C) 6
D) 24
E) 48

The maximum value of x is 4 and the maximum value of y is less than 12 hence xy cannot be 4*12=48, notice that (-4)*(-12)=48 is also impossible as x cannot be less than 0.

_________________
##### General Discussion
Manager
Joined: 10 Jan 2010
Posts: 132
Location: Germany
Concentration: Strategy, General Management
Schools: IE '15 (M)
GPA: 3
WE: Consulting (Telecommunications)
Re: if 0<=x<=4 and y<12, which of the following  [#permalink]

### Show Tags

06 Feb 2012, 05:52
1
E = 48

48 = XY or -x*-y; as x is not negativ it is would be only possible if xy = 48

AS x<=4 --> y MUST be >=12

Not possible
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 16711
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: If 0<=x<=4 and y<12, which of the following  [#permalink]

### Show Tags

26 Dec 2015, 09:39
Hi All,

For most Test Takers, the easiest way to answer this question is to think about the 'limits' that are placed on X and Y, then find the answer that doesn't 'fit' within those limitations. Alternatively, you can eliminate the 4 answers that are possible - and the one that's left will be the correct answer.

We're told that 0≤ X ≤4 and Y <12. We're asked which of the following CANNOT be the value of (X)(Y).

IF...
X = 1, Y = -2, then XY = -2

X=0, Y = 1, then XY = 0

X = 1, Y = 6, then XY = 6

X = 4, Y = 6, then XY = 24

GMAT assassins aren't born, they're made,
Rich
_________________
Contact Rich at: Rich.C@empowergmat.com

The Course Used By GMAT Club Moderators To Earn 750+

souvik101990 Score: 760 Q50 V42 ★★★★★
ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★
Intern
Joined: 12 Jul 2016
Posts: 17
Re: If 0<=x<=4 and y<12, which of the following  [#permalink]

### Show Tags

16 May 2017, 04:02
1
0<=x<4
y<12
xy<12 * 4
xy<48

Non-Human User
Joined: 09 Sep 2013
Posts: 14971
Re: If 0<=x<=4 and y<12, which of the following  [#permalink]

### Show Tags

01 May 2020, 07:07
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.
_________________
Re: If 0<=x<=4 and y<12, which of the following   [#permalink] 01 May 2020, 07:07