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1331 - Analytical Reasoning

Analytical Reasoning MCQ No. : 49327

A professor is asked to judge a film contest. There are six films—A, B, C, D, E-Part 1 and E-Part II. the films will be shown over a six-day period, from Monday to Saturday

  1. No film is shown more than five times.
  2. Film A is shown every day except Friday and Saturday
  3. Film D is shown on either Monday or Friday
  4. Both parts of film E are shown every day except for Monday when only part 1 is shown and Saturday when only part 2 is shown
  5. Film C is shown on alternate days beginning on Monday
  6. Film B is shown on three days in succession between Monday and Friday
  7. Only one film is shown at a time
  8. The two parts of film E must be viewed in order and on separate days, though not necessarily on consecutive days.
  9. Film B and D are both shown on a day on which film A is not shown
  10. The professor cannot view any films on Thursday

What is the minimum number of films shown on one day?

  1. 0
  2. 1
  3. 2
  4. 3
  5. 4

Correct Answer: B

Explanation:

A schedule of film showings can be constructed from the information given in the first nine statements. Statement 2 establishes the days on which film A is shown. Statement 4 establishes the days on which film E is shown. Statement 5 establishes the days on which film C is shown. We can use this information to construct the following schedule, in which an X indicates a day on which a film is shown.

Monday Tuesday Wednesday Thursday Friday Saturday
Film A
Film B
Film C
Film D
Film E-I
Film E-II

Next we must determine the days on which film D and B are shown

Statement 3 notes that film D is shown on either Monday or Friday. Statement 9 notes that film D is shown on a day on which film A is not shown. Film A is not shown on Friday and Saturday, as specified in statement 2. Thus, film D must be shown on Friday.

Statement 6 notes that film B is shown on three days in succession between Monday and Friday. Statement 9 notes that Film B is shown on a day on which Film A is not shown. Since Film A is not shown on Friday, then film B must be shown on Friday. Further, since it is shown three days in succession, it must be shown on Wednesday, Thursday, and Friday.

now the schedule of film showings can be completed:

Monday Tuesday Wednesday Thursday Friday Saturday
Film A
Film B
Film C
Film D
Film E-I
Film E-II

Let us now proceed to the explanatory answers by referring to the table above

It can be seen from the schedule above that only the second part of Film E will be shown on Saturday.

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