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Bunuel
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Bunuel
If x and y are the greatest possible and the least possible products, respectively, of four distinct integers, each of which is from -4 to 6, inclusive, then what is the value of x - y?

A. 960
B. 840
C. 720
D. 480
E. 360

x=greatest product of four distinct integers from -4 to 6, inc.={6,5,4,3}
y=greatest product of four distinct integers from -4 to 6, inc.={6,5,4,-4}
x-y=product{6,5,4,3}-product{6,5,4,-4}=(6*5*4)(3-(-4))=6*5*4*7=42*20=840

Answer (B).
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Bunuel
If x and y are the greatest possible and the least possible products, respectively, of four distinct integers, each of which is from -4 to 6, inclusive, then what is the value of x - y?

A. 960
B. 840
C. 720
D. 480
E. 360

Given: x and y are the greatest possible and the least possible products, respectively, of four distinct integers, each of which is from -4 to 6, inclusive,

Asked: What is the value of x - y?

x = 6*5*4*3 = 360
y = -4*6*5*4 = -480

x-y = 360 +480 = 840

IMO B
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x=6*5*4*3=360
y=6*5*4*(-4)=-480
x-y=360-(-480)=840

Answer: B
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