1991 AMC 8 Problem 8
Attempt Problem 8 of the 1991 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1991 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
8.
What is the largest quotient that can be formed using two numbers chosen from the set
Answer: D
Small hint:
A quotient is largest when it is positive and large in size
Big hint:
A negative divided by a negative is positive; try the largest-magnitude negative over the smallest-magnitude negative
Solution:
For a large quotient it should be positive, so use two positive numbers or two negative numbers.
Best positive pair: Best negative pair: The larger is
Thus, the correct answer is D .
Problem 8 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
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