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 Q is the son of P?

Option 1: P – Q ÷ R

Option 2: P – Q × R

Option 3: Q – P × R

Option 4: R × Q – P

Correct Answer: P – Q × R

Solution : Given:
X – Y means that X is the mother of Y.
X × Y means that X is the father of Y.
X ÷ Y means that X is the sister of Y.

Now, 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. So, Q is the daughter of P.
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. So, Q is the son of P.
Third option: Q – P × 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. So, Q is the mother of P.
Fourth option: R × Q – P
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. So, Q is the mother of P.

So, only in the second option, Q is the son of P. Hence, the second option is correct.