What is the least possible product of 4 different integers, each of which has a value between –5 and 10, inclusive?
(A) –5040 (B) –3600
(C) –720 (D) –600
(E) –120
(A) –5040 (B) –3600
(C) –720 (D) –600
(E) –120
My answer: B) - 3600
Select -5 since this value will make your answer negative, and therefore closer to your "least product".
Then select 10, 9, and 8, since these values are the largest magnitudes from the range of values provided.
Multiply: (-5)*10*9*8 = -3600
Furthermore, it cannot be A because -5040 is a product of: -(10*9*8*7) and no integer among them can be a negative integer since the buck stops at -5.
