Question : Directions: If L × M means that L is the mother of M, L – M means that L is the father of M, and L ÷ M means that L is the sister of M, then which of the following expressions shows that R is the brother of P?

Option 1: P ÷ R – Q

Option 2: P × R – Q

Option 3: P ÷ Q – R

Option 4: P ÷ R × Q

Correct Answer: P ÷ R – Q

Solution : Let's check the given 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. So, from the above family tree, it is evident that R is the brother of P.
Second 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. So, from the above family tree, it is evident that R is the son of P.
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. So, from the above family tree, it is evident that R is the niece/nephew of P.
Fourth 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. So, from the above family tree, it is evident that R is the sister of P.

Hence, the first option is correct.