(i) The student must take courses from at least two different areas.
(ii) If a student takes an English course, he cannot take a Fine Arts course, and if he takes a Fine Arts course, he cannot take an English course.
(iii) If he takes a Science course, he must take a Maths course, and if he takes a Maths course, he must take a Science course.
(iv) He can take a social studies course only if he takes a Fine Arts course.
Which of the following in an acceptable schedule of courses?

Options

A. One Science course, one English course and one Fine Arts course.
B. One Maths course, one Science course and one Social Studies course
C. One Maths course, one Social Studies and one Fine Arts course
D. One Maths course, one Science course and one Fine Arts course

Answer

D

Explanation

Just test each choice by the initial conditions. First, the student must select from at least two different areas, and all of the choices pass muster on this score. Next, he cannot take course in both English and Fine Arts, and we eliminate (1) and (4). Next, if he takes a Science course, he must take a Maths course, and vice versa, so we eliminate (3). Finally, if he takes a Social Studies course, he must take a course in Fine Arts, and we eliminate (2). By the process of elimination, (5) is the correct choice.
Note: Don.t misread that last condition. It states only that a course in Social Studies must be accompanied by a course in Fine Arts. It is possible to take a Fine Arts course without taking a Social Studies course.