Question

从集合 $\{-24, -3, -2, 1, 2, 8\}$ 中选两个数相除，能形成的最大商是多少？

What is the largest quotient that can be formed using two numbers chosen from the set $\{-24, -3, -2, 1, 2, 8\}?$

$-24$

$-3$

$8$

$12$

$24$

要得到较大的商，应让商为正，所以可以用两个正数或两个负数。

最好的正数组合是 $\dfrac{8}{1} = 8$ 。最好的负数组合是 $\dfrac{-24}{-2} = 12$ 。较大的是 $12$ 。

所以正确答案是 D。

For a large quotient it should be positive, so use two positive numbers or two negative numbers.

Best positive pair: $\dfrac{8}{1} = 8.$ Best negative pair: $\dfrac{-24}{-2} = 12.$ The larger is $12.$

Thus, the correct answer is D .