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

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

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06 Feb 2012, 02:57
4
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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
[Reveal] Spoiler: OA

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Posts: 43785
Re: if o<=x<=4 and y<12, which of the following [#permalink]

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06 Feb 2012, 03:01
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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.

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Re: if 0<=x<=4 and y<12, which of the following [#permalink]

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06 Feb 2012, 05:52
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
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Posts: 13845
Re: If 0<=x<=4 and y<12, which of the following [#permalink]

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09 Oct 2013, 17:41
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).

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Re: If 0<=x<=4 and y<12, which of the following [#permalink]

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26 Dec 2015, 00:17
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.
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Re: If 0<=x<=4 and y<12, which of the following [#permalink]

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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

[Reveal] Spoiler:
E

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Joined: 12 Jul 2016
Posts: 18
Re: If 0<=x<=4 and y<12, which of the following [#permalink]

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

Re: If 0<=x<=4 and y<12, which of the following   [#permalink] 16 May 2017, 04:02
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