To determine which option indicates that P is the grandson of S, we need to understand the relationship operations implied by the symbols:
- ‘×’ typically denotes ‘is the father of’
- ‘+’ typically denotes ‘is the son of’
- ‘−’ typically denotes ‘is the brother of’
- ‘÷’ typically denotes ‘is the wife of’
Given these interpretations, we analyze each option:
- P × Q − S: P is the father of Q and Q is the brother of S. This implies P is S's parent, not grandparent.
- P + Q × S: P is the son of Q and Q is the father of S, making P the uncle or aunt of S.
- P × Q + S: P is the father of Q and Q is the son of S, making P the grandson of S.
- P × Q ÷ S: P is the father of Q and Q is the wife of S, so P is unrelated to S in terms of grandparent relationship.
Therefore, the correct option is
P × Q + S, as it represents P is the grandson of S by being the father of Q, with Q being S's son.