Question 1
Harsha (father) says: 'Gaurav is a liar'
Gaurav (mother) says: 'Meera is a liar'
Meera (son) says: 'Rahul is a liar'
Rahul (daughter) says: 'Harsha 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:
Harsha (father) = Truth-teller
Gaurav (mother) = Liar
Meera (son) = Truth-teller
Rahul (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:
Harsha (father) = Truth-teller
Gaurav (mother) = Liar
Meera (son) = Truth-teller
Rahul (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.