Direction for Question 1-2: Some information is provided in the paragraph below. Answer the questions based on this information.
A weekly television show routinely stars six actors, A,B,C,D,E and F.Since the show has been on the air for a long time, some of the actors are good friends and some do not get along at all. In an effort to keep peace, the director sees to it that friends work together and enemies do not. Also, as the actors have become more popular some of them need time off to do other projects. To keep the schedule working, the director has a few things she must be aware of:
• A will only work on episodes on which D is working
• E will not work with B under any circumstances.
• D can only work every other week, in order to be free to film a movie.
• At least three of the actors must appear in every weekly episode.

Question 1 : In a show about C getting a job at the same company A already works for and B used to work for, all three actors will appear. Which of the following is true about the other actors who may appear?
A. D, F, and E must all appear.
B. D may appear and E must appear.
C. D must appear and F may appear.
D. F may appear and E may appear.

Question 2 : Next week, the show involves E’s new car and F’s new refrigerator. Which of the following is true about the other actors who may appear?
A. D, A, C, and B all may appear.
B. A, C, and B must appear.
C. C and B must appear.
D. Only C may appear.

Answers and Explanations

Answer 1 : (C)

In the week A, B, C are three actors who will appear. This implies E will not appear that week. Also, since A is working, it implies D must appear. These conditions are satisfied in option (C) only.

Answer 2 : (D)

Since D works every other week, so D will not appear in the next week. Also, B will not appear as E is to appear next week. A will not appear as D cannot appear next week. Therefore, only C may appear other than E and F.