Question 1
Five students attempted a test and received distinct ranks (1 best to 5 worst), took distinct times, and attempted distinct subjects. Use the clues:
- The student ranked 1 finished earlier than the one who attempted Art.
- Wafa did not take 69 minutes and is not ranked 4.
- The fastest finisher attempted Music.
- The one ranked 3 took more time than Gaurav.
Question: Who secured Rank 1?
Multi-Parameter Optimization
Set up a table: Student x (Rank, Time, Subject). Use rank-time inequalities and subject anchors (fastest subject).
Student | Rank | Time(min) | Subject
--- | --- | --- | ---
Sahil | 1 | 56 | Physics
Uma | 2 | 42 | Art
Wafa | 3 | 69 | Math
Jatin | 4 | 64 | Music
Gaurav | 5 | 35 | Chemistry
Integrate constraints across dimensions and validate uniqueness.
Verification:
- The student ranked 1 finished earlier than the one who attempted Art.
- Wafa did not take 69 minutes and is not ranked 4.
- The fastest finisher attempted Music.
- The one ranked 3 took more time than Gaurav.
Set up a table: Student x (Rank, Time, Subject). Use rank-time inequalities and subject anchors (fastest subject).
Student | Rank | Time(min) | Subject
--- | --- | --- | ---
Sahil | 1 | 56 | Physics
Uma | 2 | 42 | Art
Wafa | 3 | 69 | Math
Jatin | 4 | 64 | Music
Gaurav | 5 | 35 | Chemistry
Integrate constraints across dimensions and validate uniqueness.
Verification:
- The student ranked 1 finished earlier than the one who attempted Art.
- Wafa did not take 69 minutes and is not ranked 4.
- The fastest finisher attempted Music.
- The one ranked 3 took more time than Gaurav.