Problem Solving (PS) | On Monday, 9 students each took a test with 100 questions. The average

On Monday, 9 students each took a test with 100 questions. The average (arithmetic mean) number of correct answers was 50, and the median number of correct answers was 40. With of the following statements must be true?

I. At least one student had more than 60 correct answers.
II. At least one student had more than 40 and less than 50 correct answers.
III. At least one student had less than 40 correctanswers.

(A) I only
(B) II only
(C) III only
(D) I and III
(E) II and III