2000 AMC 8 Problem 2
Attempt Problem 2 of the 2000 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 2000 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
2.
Which of these numbers is less than its reciprocal?
Answer: A
Small hint:
Check whether has a reciprocal
Big hint:
Compare with
Solution:
has no reciprocal, and and are their own reciprocals.
The reciprocal of is but is not less than
Therefore, as we know that is the only one of the answer choices that is less than its reciprocal.
Thus, A is the correct answer.
Problem 2 in other years
- 1985 AMC 8
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