1955 AMC 12 Problem 11
Attempt Problem 11 of the 1955 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 1955 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
11.
The negation of the statement “No slow learners attend this school,” is:
All slow learners attend this school.
All slow learners do not attend this school.
Some slow learners attend this school.
Some slow learners do not attend this school.
No slow learners do not attend this school.
Answer: C
Small hint:
“No” means that there does not exist even one example
Big hint:
Negating a universal exclusion asserts the existence of a counterexample
Solution:
The original statement says that every slow learner is absent from the school. Its negation is that at least one slow learner attends the school.
Thus, “Some slow learners attend this school” is correct, so the answer is C.
Problem 11 in other years
- 1950 AMC 12
- 1951 AMC 12
- 1952 AMC 12
- 1953 AMC 12
- 1954 AMC 12
- 1956 AMC 12
- 1957 AMC 12
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