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 Geography.
- Laksh did not take 63 minutes and is not ranked 4.
- The fastest finisher attempted English.
- The one ranked 3 took more time than Diya.
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
--- | --- | --- | ---
Wafa | 1 | 50 | History
Nihal | 2 | 33 | Geography
Laksh | 3 | 63 | Music
Bhavya | 4 | 43 | English
Diya | 5 | 38 | Computer
Integrate constraints across dimensions and validate uniqueness.
Verification:
- The student ranked 1 finished earlier than the one who attempted Geography.
- Laksh did not take 63 minutes and is not ranked 4.
- The fastest finisher attempted English.
- The one ranked 3 took more time than Diya.
Set up a table: Student x (Rank, Time, Subject). Use rank-time inequalities and subject anchors (fastest subject).
Student | Rank | Time(min) | Subject
--- | --- | --- | ---
Wafa | 1 | 50 | History
Nihal | 2 | 33 | Geography
Laksh | 3 | 63 | Music
Bhavya | 4 | 43 | English
Diya | 5 | 38 | Computer
Integrate constraints across dimensions and validate uniqueness.
Verification:
- The student ranked 1 finished earlier than the one who attempted Geography.
- Laksh did not take 63 minutes and is not ranked 4.
- The fastest finisher attempted English.
- The one ranked 3 took more time than Diya.