(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 is NOT an acceptable schedule?

Options

A. Two Maths and one Science course
B. Two Science courses and one Maths course
C. Two Fine Arts courses and one Maths course
D. Two Social Studies courses and one Fine Arts course

Answer

C

Explanation

This question is the mirror image of the first. Just test each choice by the initial conditions. All arc acceptable on the basis of the first condition (that he take courses in at least two different areas) and the second condition (English and Fine Arts cannot be taken together). (3), however, runs afoul of the third condition, for there we have a Maths course without an accompanying Science course. (You can check the other choices and see that they do respect the final condition.)