Question : Directions: If A ÷ B means that A is the brother of B, A × B means that A is the sister of B, and A – B means that A is the father 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 – 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 P is the father of R.
Second 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 P is the aunt of R.
Third 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 P is the brother of R.
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 P is the paternal grandfather of R.

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