Assignment Puzzle

Source: Karl Weber, “The Unofficial Guide to the GRE Test”, 2000 edition, ARCO Publishing.

Six sculptures -- C, D, E, F, G, and H -- are to be exhibited in rooms 1, 2, and 3 of an art gallery.

  Sculptures C and E may not be exhibited in the same room.
  Sculptures D and G must be exhibited in the same room.
  If sculptures E and F are exhibited in the same room, no other sculpture may be exhibited in that room.
  At least one sculpture must be exhibited in each room, and no more than three sculptures may be exhibited in any room.

1. If sculpture D is exhibited in room 1 and sculptures E and F are 
   exhibited in room 2, which of the following must be true?
  (A) Sculpture C must be exhibited in room 1.
  (B) Sculpture H must be exhibited in room 3.
  (C) Sculpture G must be exhibited in room 1.
  (D) Sculpture H must be exhibited in room 2.
  (E) Sculptures C and H must be exhibited in the same room.

2. If sculptures C and G are exhibited in room 1, which of the following may NOT be a complete list of the sculpture(s) exhibited in room 2?
  (A) Sculpture D
  (B) Sculpture E
  (C) Sculpture F
  (D) Sculptures E and H
  (E) Sculptures F and H

3. If sculpture D is exhibited in room 3 and sculptures E and F are 
   exhibited in room 1, which of the following may be true?
  (A) Sculpture C is exhibited in room 1.
  (B) Sculpture H is exhibited in room 1.
  (C) Sculpture G is exhibited in room 2.
  (D) Sculptures C and H are exhibited in the same room.
  (E) Sculptures G and F are exhibited in the same room.

4. If sculpture G is exhibited in room 2 and sculpture E is exhibited in room 3, which of the following must be true?
  (A) Sculpture C is exhibited in room 1.
  (B) No more than two sculptures are exhibited in room 3.
  (C) Sculptures F and H are exhibited in the same room.
  (D) Three sculptures are exhibited in room 2.
  (E) Sculpture H is exhibited in room 3.

Scheduling Puzzle

Source: Link

Note: When the choices are similar to each other (in terms of the language), sometimes only one of them is given (for brevity of presentation here).

Five educational films A, B, C, D, & E are to be shown to a group of students. 
The films are to be shown in a particular order, which conforms to the 
following conditions:

  A must be shown earlier than C.
  B must be shown earlier than D.
  E should not be the fifth film shown.

1. Which among the following is an acceptable order for showing the 
educational films?
  (A) A, C, B, D, E

2. In case C is shown earlier than E, which among the following will hold true?
  (A) B is the first film shown.

3. In case D is to be shown earlier than A, then for which among the following is there exactly one position from first through fifth in which it can be scheduled to be shown?
  (A) A

4. Which among the following is a pair of films that CANNOT both be shown earlier than E?
  (A) A and B

5. In case D and E are shown as far apart from each other as possible, which among the following would be true?
  (A) A is shown earlier than B.

6. In case B, D and E are to be shown one after the other in the given order, the two positions from first to fifth in which A could possibly be shown are: 
  (A) first and second.

7. In case exactly one film is shown between A and C, and exactly one film is shown between B and D, which among the following will hold true?
  (A) B is the film shown between A and C. 
  (D) D is the last film shown.