How can Igor have a higher GPA than Desdemona in hard courses, also have a higher GPA in easy courses, and yet have an overall GPA which is lower than hers?
A) Statement I: It's impossible.
B) Statement II: It could happen. Igor could have taken mostly hard courses while Desdemona took mostly easy courses.
C) Statement III: It could happen. Igor could have taken mostly easy courses while Desdemona took mostly hard courses.
D) Statement IV: It would happen if Igor took more credit hours than Desdemona.
E) Statements III and IV are true.

Question

Quizplus · Accepted Answer

This scenario is possible if Igor took a larger number of hard courses, where although he has a higher GPA in both hard and easy courses, the sheer volume of hard courses (which are presumably more difficult and thus might lower his overall GPA more than the easy courses would raise it) compared to Desdemona, who might have taken more easy courses, could result in a lower overall GPA for Igor. This is because the overall GPA is influenced by the total number of courses and their respective difficulties, not just the individual GPAs in hard and easy courses.

How Can Igor Have a Higher GPA Than Desdemona in Hard