1966 AMC 12 Problem 20
Attempt Problem 20 of the 1966 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 1966 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
20.
If the proposition “” is true, the negation of the proposition “For real values of and if then ” is:
If then
If then
If then
If then
If then
Answer: C
Small hint:
The negation of a true conclusion is its opposite statement
Big hint:
Under the stated assumption negate the conclusion
Solution:
The stated premise is assumed true. Negating the implication therefore negates its conclusion: becomes Thus the required statement is “If then ”
Therefore, the correct answer is C.
Problem 20 in other years
- 1950 AMC 12
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