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 P is the father of R?

Option 1: P ÷ Q × R

Option 2: P × Q ÷ R

Option 3: P × Q – R

Option 4: P – R ÷ Q

Correct Answer: P × Q ÷ R

Solution : Given:
A × B means that A is the father of B.
A ÷ B means that A is the brother of B.
A – B means that A is the mother of B.

Let's check the options –
First option: P ÷ Q × R
According to the given information, the family tree will be –

Here, the quadrilateral represents the male, and the circular figure represents the female in the figure. From the above diagram, P is the paternal uncle of R.
Second option: P × Q ÷ R
According to the given information, the family tree will be –

Here, the quadrilateral represents the male, and the circular figure represents the female in the figure. From the above diagram, P is the father of R.
Third option: P × Q – R
According to the given information, the family tree will be –

Here, the quadrilateral represents the male, and the circular figure represents the female in the figure. From the above diagram, P is the grandfather of R.
Fourth option: P – R ÷ Q
According to the given information, the family tree will be –

Here, the quadrilateral represents the male, and the circular figure represents the female in the figure. From the above diagram, P is the mother of R.

Hence, the second option is correct.