In a survey of 80 students, 55 students stated that they play a varsity sport, and 35 stated that they are taking at least one AP level course. Which of the following statements must be true?
A. At least 10 of these students are both playing a varsity sport and taking at least one AP level course.
B. Less than half of the students who play a varsity sport are also taking at least one AP level course.
C. The number of students who do not play a varsity sport is greater than the number of students who do not take at least one AP level course.
D. At least one student who takes an AP level course does NOT play a varsity sport.
Answer:A
In a survey of 80 students, 55 students stated that they play a varsity sport, and 35 stated that they are taking at least one AP level course. Which of the following statements must be true?
A. At least 10 of these students are both playing a varsity sport and taking at least one AP level course. B. Less than half of the students who play a varsity sport are also taking at least one AP level course. C. The number of students who do not play a varsity sport is greater than the number of students who do not take at least one AP level course. D. At least one student who takes an AP level course does NOT play a varsity sport.
Explanation: A