Question 1
Farhan says: 'On some days I lie, on others I tell truth'
Harsha says: 'I always tell the truth'
Gaurav says: 'I always tell the truth'
Priya says: 'I always tell the truth'
Among them, three are truth-tellers/liars and one is an alternator. Identify the alternator.
Key insight: The statement 'On some days I lie, on others I tell truth' is characteristic of an alternator.
- A truth-teller cannot say 'Sometimes I lie' (would be false).
- A liar cannot say 'Sometimes I tell truth' (would be true, but liars always lie).
- Only an alternator can truthfully acknowledge their alternating nature.
Therefore: Farhan is the alternator.
- A truth-teller cannot say 'Sometimes I lie' (would be false).
- A liar cannot say 'Sometimes I tell truth' (would be true, but liars always lie).
- Only an alternator can truthfully acknowledge their alternating nature.
Therefore: Farhan is the alternator.