Question : Directions: If X × Y means that X is the mother of Y, X – Y means that X is the father of Y, and X ÷ Y means that X is the sister of Y, then which of the following expressions shows that P is the paternal grandfather of R?

Option 1: Q – P × 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: 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 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 father 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 paternal grandfather 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 grandmother of R.

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