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If a, b, c and d are different integers between -6 and 10 inclusive, what is the least possible value of the product

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If a, b, c and d are different integers between -6 and 10 inclusive, what is the least possible value of the product

by BTGmoderatorDC » Sun Jan 31, 2021 4:49 pm

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If a, b, c and d are different integers between -6 and 10 inclusive, what is the least possible value of the product abcd?

A. -480
B. -720
C. -1200
D. -3600
E. -4320


OA E

Source: Magoosh
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Re: If a, b, c and d are different integers between -6 and 10 inclusive, what is the least possible value of the product

by swerve » Mon Feb 01, 2021 11:26 am
BTGmoderatorDC wrote: ↑
Sun Jan 31, 2021 4:49 pm
 If a, b, c and d are different integers between -6 and 10 inclusive, what is the least possible value of the product abcd?

A. -480
B. -720
C. -1200
D. -3600
E. -4320


OA E

Source: Magoosh
Value is least when the magnitude is highest with a negative sign

\(\Rightarrow\) There should odd number of negative values out of 4 integers
\(\Rightarrow\) Assign \(3\) positive highest value possible \(= {8, 9, 10} \) a negative value with highest magnitude \(= {-6}\)
\(\Rightarrow\) Least value possible \(= -6\cdot 8\cdot 9 \cdot 10 = -4320\)

Therefore, E
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Re: If a, b, c and d are different integers between -6 and 10 inclusive, what is the least possible value of the product

by Scott@TargetTestPrep » Sat Feb 13, 2021 6:44 am
BTGmoderatorDC wrote: ↑
Sun Jan 31, 2021 4:49 pm
 If a, b, c and d are different integers between -6 and 10 inclusive, what is the least possible value of the product abcd?

A. -480
B. -720
C. -1200
D. -3600
E. -4320


OA E

Solution:
The least possible product occurs when a (or any one of the 4 variables) is -6 and the other three are 8, 9 and 10, respectively. Thus, the least value of the product abcd is -6 x 8 x 9 x 10 = -4320.

Answer: E

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