1960 AMC 12 Problem 10
Attempt Problem 10 of the 1960 AMC 12 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 1960 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
10.
Given the following six statements:
All women are good drivers.
Some women are good drivers.
No men are good drivers.
All men are bad drivers.
At least one man is a bad driver.
All men are good drivers.
The statement that negates statement is:
Answer: E
Small hint:
Negating “all” produces an existence statement
Big hint:
The negation needs only one man who is not a good driver
Solution:
The negation of “All men are good drivers” is “At least one man is not a good driver.” In the terminology of the choices, that is statement “At least one man is a bad driver.”
Therefore, the correct answer is E.
Problem 10 in other years
- 1950 AMC 12
- 1951 AMC 12
- 1952 AMC 12
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