'A & B' means 'A is the mother of B'.
'A ^ B' means 'A is the brother of B'.
'A @ B' means 'A is the sister B'.
If P & Q ∧ R @ S ∧ T, then how is S related to P?
- ADaughter
- BBrother
- CSister
- DSon
Solution & Step-by-step Explanation
Let's decode the given relation step-by-step from left to right:
P & Q→ P is the mother of Q.
Q ∧ R→ Q is the brother of R.
R @ S→ R is the sister of S.
S ∧ T→ S is the brother of T.
From steps 2, 3, and 4, we find that Q, R, S, and T are all siblings. Since S is a brother (S ∧ T), S is a male.
Since P is the mother of Q, P must be the mother of all these siblings, including S.
Therefore, S is the son of P.
P & Q→ P is the mother of Q.
Q ∧ R→ Q is the brother of R.
R @ S→ R is the sister of S.
S ∧ T→ S is the brother of T.
From steps 2, 3, and 4, we find that Q, R, S, and T are all siblings. Since S is a brother (S ∧ T), S is a male.
Since P is the mother of Q, P must be the mother of all these siblings, including S.
Therefore, S is the son of P.