Question

If Research is scheduled for room 1 on Wednesday and Graphics is scheduled for room 1 on Thursday, then which of the following can be true?

• A. Graphics is scheduled for room 2 on Wednesday and Marketing is scheduled for room 3 on Thursday.
• B. Graphics is scheduled for room 2 on Thursday and room 1 on Friday.
• C. Marketing is scheduled for room 3 on Thursday and room 2 on Friday.
• D. Research is scheduled for room 3 on Thursday and Marketing is scheduled for room 1 on Friday.
• E. Research is scheduled for room 3 on Thursday and Marketing is scheduled for room 2 on Friday. \text

Hint:

Apply conditions to force placements; test options against rules and uniqueness.

Answer 1

The Correct Option is D

Step 1: Condition: Room 1 Wed = R, Thu = G, so Fri = M (each room gets each once).
Step 2: Thu: Room 1 = G, so rooms 2 and 3 = M and R. Rule: R cannot be in room 2 Thu, so room 2 Thu = M, room 3 Thu = R.
Step 3: Options: (A) and (C) require M in room 3 Thu (contradicts R). (B) requires G in room 1 Fri (but M). (E) requires M in room 2 Fri (two M on Fri). (D) has R in room 3 Thu (true) and M in room 1 Fri (true).
Step 4: A complete schedule exists for (D), e.g., Wed: 1R, 2M, 3G; Fri: 1M, 2G, 3R.