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

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fiendex
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If 0<=x<=4 and y<12, which of the following [#permalink] New post   06 Feb 2012, 03:57
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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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E
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Bunuel
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Re: if o<=x<=4 and y<12, which of the following [#permalink] 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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MSoS
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Re: if 0<=x<=4 and y<12, which of the following [#permalink] New post   06 Feb 2012, 06:52
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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] New post   26 Dec 2015, 10:39
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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...

Final Answer:
Show Spoiler
E


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Re: If 0<=x<=4 and y<12, which of the following [#permalink] New post   16 May 2017, 05:02
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0<=x<4
y<12
xy<12 * 4
xy<48

Hence : answer E
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palaknayyar
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If 0<=x<=4 and y<12, which of the following [#permalink] New post   09 May 2021, 10:02
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


My approach to solving this is the good old taking it option by option (it isn't as time-consuming as it sounds). Remember, all you need is one case that satisfies xy being equal to one of the options. So try to deliberately pick values that will work and help you eliminate options:

A. Yes, if y=-2 and x=1, this one is possible. Strike off.
B. Yes, if x=0, this one is possible. Strike off.
C. Yes, if x=2, and y=3 or vice versa. Strike off.
D. Yes, if x=4, y=6. Strike off.
E. Hmm. The maximum value y can take is 11; the max x can take is 4. xy= 44. If the maximum values of x and y haven't worked out, no others will.

hence the final answer is E.

Hope that is helpful.
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Re: If 0<=x<=4 and y<12, which of the following [#permalink] New post   06 Dec 2023, 10:57
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Re: If 0<=x<=4 and y<12, which of the following [#permalink]
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