Question

从集合 $\{-8,-6,-4,0,3,5,7\}$ 中选三个不同的数，它们的乘积最小可能是多少？

What is the minimum possible product of three different numbers of the set $\{-8,-6,-4,0,3,5,7\}?$

$-336$

$-280$

$-210$

$-192$

$0$

要用三个数得到负乘积，可以选一个负数和两个正数，也可以选三个负数。

只有 $2$ 个可行选择需要比较： $-8 \cdot -6 \cdot -4 = -192$ 和 $-8 \cdot 5 \cdot 7 = -280.$ 后者显然更小。

所以正确答案是 B。

To get a negative product using three numbers, you can either multiply one negative number and two positives, or three negatives.

The only $2$ viable options are $-8 \cdot -6 \cdot -4 = -192$ and $-8 \cdot 5 \cdot 7 = -280.$ The latter is clearly the lesser value.

Thus, B is the correct answer.