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If x and y are the greatest possible and the least possible products

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V
Joined: 02 Sep 2009
Posts: 47983
If x and y are the greatest possible and the least possible products  [#permalink]

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New post 03 Aug 2018, 04:17
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  75% (hard)

Question Stats:

48% (02:21) correct 52% (02:05) wrong based on 46 sessions

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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

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Joined: 13 Feb 2018
Posts: 126
Re: If x and y are the greatest possible and the least possible products  [#permalink]

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New post 03 Aug 2018, 04:28
1
To reach the positive greatness we need big guys 6*5*4*3=360 or 6*5*(-4)*(-3)=360
For negative, we need 3 positive big guys and one the least integer 6*5*4*(-4)=-480
x-y=360-(-480)=840

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Ans: B
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Joined: 26 Feb 2017
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Re: If x and y are the greatest possible and the least possible products  [#permalink]

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New post 03 Aug 2018, 04:29
-4 to 6 inclusive

X= greatest number =6*5*4*3 or 6*5*(-4)*(-3)=360

Y=smallest number =6*5*4*(-4)=-480

So x-y=360-(-480)=360+480=840

So.B

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Re: If x and y are the greatest possible and the least possible products &nbs [#permalink] 03 Aug 2018, 04:29
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