Skip to main content

2011 AMC 10B Problem 8

Problem 8 of 25EasierLogic

At a certain beach if it is at least 80∘F80^{\circ} F and sunny, then the beach will be crowded. On June 1010 the beach was not crowded. What can be concluded about the weather conditions on June 10?10?

Answer choices

Show solution

Solution

The statement says that if the weather was at least 80∘F80^\circ F and sunny, then the beach was crowded. Because the beach was not crowded, the two conditions could not both have been true. Therefore the temperature was cooler than 80∘F80^\circ F, or it was not sunny, or both. Thus, B is the correct answer.
AoPS wiki

Tagged: logical deduction

More practice