Question : Directions: If A × B means that A is the father of B, A – B means that A is the mother of B, and A + B means that A is the brother of B then which of the following expressions shows that Q is the son of P?

Option 1: P × Q + R

Option 2: Q × P + R

Option 3: P + R × Q

Option 4: P × Q – R

Correct Answer: P × Q + R

Solution : Let's check the options –
First option: P × Q + R
According to the given expression, the family tree will be as follows –

Here, the quadrilateral represents the male, and the circular figure represents the female in the figure. From the above family tree, it is evident that Q is the son of P.
Second option: Q × P + R
According to the given expression, the family tree will be as follows –

Here, the quadrilateral represents the male, and the circular figure represents the female in the figure. From the above family tree, it is evident that Q is the father of P.
Third option: P + R × Q
According to the given expression, the family tree will be as follows –

Here, the quadrilateral represents the male, and the circular figure represents the female in the figure. From the above family tree, it is evident that Q can be either the niece or nephew of P, as the gender of Q is undefined.
Fourth option: P × Q – R
According to the given expression, the family tree will be as follows –

Here, the quadrilateral represents the male, and the circular figure represents the female in the figure. From the above family tree, it is evident that Q is the daughter of P.

So, only the expression in the first option satisfies the relation given in the question. Hence, the first option is correct.