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 paternal grandmother of R?

Option 1: P ÷ R × Q

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 ÷ 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 P is the mother 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 paternal grandmother 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 mother 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 maternal grandfather of R.

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