AMC 8 1993 Problem 1

AMC8 1993 年第 1 题

表达式与运算★☆☆☆☆
Which pair of numbers does NOT have a product equal to 36 ?
哪对数的乘积不等于 36？
  1. A.{-4,-9}
  2. B.{-3,-12}
  3. C.{12,−72}\displaystyle \left\{\frac{1}{2},-72\right\}
  4. D.{ 1,36}
  5. E.{32,24}\displaystyle \left\{\frac{3}{2},24\right\}

正确答案 · Correct Answer

C

解析 · Solution

Solution 1

Let's calculate each of the answer choices and see which one DOES NOT equal 36.
AA comes out to be −4×−9=36-4 \times -9= 36,
BB equals −3×−12=36-3 \times -12= 36,
CC is 12×−72=−36\displaystyle \frac{1}{2} \times -72 = -36,
DD simplifies to 1×36= 36,
and EE equals 32×24=3×12=36\displaystyle \frac{3}{2} \times 24 = 3×12 = 36.
Thus, our answer is CC.

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