Puzzle (Easy)

In order to gain full course credit for her tour of a historic city, Amara must visit exactly seven famous landmarks — a cathedral, a museum, a fountain, a garden, a library, a palace, and a statue. Any tour plan that Amara devices will allow her to keep to her timetable and is thus acceptable, except that she must plan her tour to conform to the following conditions:

• The museum must be one of the first three places visited.
• The garden must be visited immediately before the fountain.
• The library cannot be the first or last place visited.
• The palace must be either the first or the last place visited.
• The statue must be one of the last three places visited.

Questions:

1. Which of the following is an acceptable order for Amara to tour all seven landmarks?

If, on her tour, Amara visits the cathedral, the library, and the museum, one directly after the other in the order given, she must visit the fountain.

If Amara begins her tour in the garden, which of the following could be the fourth landmark she will visit on the tour?

If Amara is to visit the statue sixth, she could visit the garden in any of the following positions on her tour EXCEPT

If Amara visits exactly one landmark between her visits to the museum and the statue, that place must be either the

A project manager is scheduling exactly six tasks—P, Q, R, S, T, and U—for a project that will be completed Monday through Saturday. Each task will be completed in one full day, and exactly one task will be scheduled for each day. The following conditions apply:

• P must be completed before R.
• Q must be completed immediately before or after the day on which T is completed.
• S must be completed on Wednesday.

Questions:

1. Which of the following is an acceptable schedule of tasks for the week?

• Mon. Tues. Wed. Thurs. Fri. Sat.

7. Any of the following could be completed on Saturday EXCEPT:

8. If T is completed on Tuesday, which of the following could be true?

9. If P is completed on Monday, which of the following must be true?

10. If Q is completed on Friday, which of the following must be true?

11. If U is completed on Thursday, any of the following could be true EXCEPT:

12. If T is completed on Monday, which of the following must be true?