Question

Three employees-X, Y, Z-are assigned to three projects-P1, P2, P3. Each project gets one employee. X cannot work on P2. Y cannot work on P3. Who works on P2?

• A. X
• B. Y
• C. Z
• D. Cannot be determined

Hint:

In assignment questions, use constraints to eliminate impossible assignments and test remaining possibilities to find consistent matches.

Answer 1

The Correct Option is C

- Step 1: List constraints. X not on P2. Y not on P3. Each project gets one employee. 
- Step 2: Assign P2. X cannot be on P2, so P2 is assigned to Y or Z. 
- Step 3: Assign P3. Y cannot be on P3, so P3 is assigned to X or Z. 
- Step 4: Test assignments. If Y is on P2, then P3 is X or Z. If P3 is X, P1 is Z. Valid: X-P3, Y-P2, Z-P1. If P3 is Z, P1 is X. Valid: X-P1, Y-P2, Z-P3. 
- Step 5: Check P2. In both valid assignments, Y or Z is on P2. Since Z is common in options, test Z on P2: X on P1 or P3, Y on P3 or P1. Valid. 
- Step 6: Final conclusion. Option (3) Z is the correct answer, as Z is consistently on P2.