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

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

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New post 06 Feb 2012, 03:57
4
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00:00
A
B
C
D
E

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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

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

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New post 06 Feb 2012, 04:01
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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.

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

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

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New post 26 Dec 2015, 10:39
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

Since those 4 answers are possible, the last answer is not...

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

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New post 16 May 2017, 05:02
1
0<=x<4
y<12
xy<12 * 4
xy<48

Hence : answer E
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Re: If 0<=x<=4 and y<12, which of the following &nbs [#permalink] 16 May 2017, 05:02
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