A: Three fifths of the class = 3 / 5 * 150 = 120 students answered the first question correctly. The number of students that answered the first question incorrectly = 150 - 120 = 60. Four fifths of the remainder of the class answered the second question correctly = 4 / 5 * 60 = 40 students answered the second question correctly. The number of students that answered both questions incorrectly = 60 - 40 = 12. The answer is (D).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step.
Q:In an engineering class that contained 150 students, the final exam consisted of 2 questions. Three fifths of the students answered the first question correctly. If four fifths of the remainder answered the second question correctly, how many students answered both questions incorrectly? Answer Choices: A)4 B)6 C)10 D)12 E)24