AMC8 1991

AMC8 1991 · Q8

AMC8 1991 · Q8. It mainly tests Absolute value.

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

从集合 $\{-24, -3, -2, 1, 2, 8\}$ 中选择两个数字，能形成的最大商是多少？

(A) -24 -24

(B) -3 -3

(D) 12 12

(E) 24 24

Answer

Correct choice: (D)

正确答案：（D）

Solution

The largest quotient would be a positive number. To obtain a positive quotient either both numbers must be positive or both must be negative. Using two positive numbers, the largest quotient is $8 / 1 = 8$. Using two negative numbers, the largest quotient is $-24 / -2 = 12$.

最大的商是正数。要得到正商，两个数字要么都正，要么都负。用两个正数，最大商是 $8 / 1 = 8$。用两个负数，最大商是 $-24 / -2 = 12$。

Topics

AL.004 Absolute value