Question 1
Amit (father) says: 'Meera is a liar'
Meera (mother) says: 'Sanjay is a liar'
Sanjay (son) says: 'Priya is a liar'
Priya (daughter) says: 'Amit is a liar'
Exactly two family members tell the truth. Who are the truth-tellers?
This is a classic cycle puzzle.
With an even number of people (4) in a cycle of accusations,
the unique solution is that alternating people are truth-tellers.
Therefore:
Amit (father) = Truth-teller
Meera (mother) = Liar
Sanjay (son) = Truth-teller
Priya (daughter) = Liar
Verification:
Father (T) says 'Mother is liar' - TRUE ✓
Mother (L) says 'Son is liar' - FALSE (son is T) ✓
Son (T) says 'Daughter is liar' - TRUE ✓
Daughter (L) says 'Father is liar' - FALSE (father is T) ✓
This is the unique consistent assignment.
With an even number of people (4) in a cycle of accusations,
the unique solution is that alternating people are truth-tellers.
Therefore:
Amit (father) = Truth-teller
Meera (mother) = Liar
Sanjay (son) = Truth-teller
Priya (daughter) = Liar
Verification:
Father (T) says 'Mother is liar' - TRUE ✓
Mother (L) says 'Son is liar' - FALSE (son is T) ✓
Son (T) says 'Daughter is liar' - TRUE ✓
Daughter (L) says 'Father is liar' - FALSE (father is T) ✓
This is the unique consistent assignment.