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fiendex
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GMAT 1: 800 Q51 V49
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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:
GMAT assassins aren't born, they're made,
Rich
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0<=x<4
y<12
xy<12 * 4
xy<48

Hence : answer E
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fiendex
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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From the equation: 0<= x <=4,

Possbile values of x could be 0,1,2,3,4

Given that y <12, so it could be negative as well

Hence maximum value can be x= 4 and y =11 which is 44.

Clearly E is the answer as 48 is not pssible at all.
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