Question 1
Six people sit in a row facing North. Conditions:
- Kaira sits at the extreme right end (Position 6).
- There are three people sitting between Aarav and Nihal.
- Ira sits third to the right of Nihal.
- Neither Tara nor Yash sits at any extreme end.
Question: Who is sitting at the immediate right of Ira?
Ambiguity Strategy: Proving Non-Unique Solution
Step 1: Fix D (P6). Use the 'three between' clue (Clue 2) to determine the positions of F (P5) and B (P1).
Step 2: Use E's position (Clue 3) to fix E (P4).
The arrangement is fixed at: B, P2, P3, E, F, D.
Step 3: The remaining people are A and C for positions P2 and P3. Clue 4 prevents them from being at the ends, leaving two cases:
- Case 1: Nihal, Tara, Yash, Ira, Aarav, Kaira
- Case 2: Nihal, Yash, Tara, Ira, Aarav, Kaira
The person immediately right of E is F in both valid cases, so the answer is uniquely determined.
Step 1: Fix D (P6). Use the 'three between' clue (Clue 2) to determine the positions of F (P5) and B (P1).
Step 2: Use E's position (Clue 3) to fix E (P4).
The arrangement is fixed at: B, P2, P3, E, F, D.
Step 3: The remaining people are A and C for positions P2 and P3. Clue 4 prevents them from being at the ends, leaving two cases:
- Case 1: Nihal, Tara, Yash, Ira, Aarav, Kaira
- Case 2: Nihal, Yash, Tara, Ira, Aarav, Kaira
The person immediately right of E is F in both valid cases, so the answer is uniquely determined.