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 P is the father of R?

Option 1: P + Q ÷ R

Option 2: P ÷ R + Q

Option 3: Q + P ÷ R

Option 4: P + Q × R

Correct Answer: P + Q ÷ R

Solution : Let's check the given 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. From the above family tree, it is evident that P is the father of R.
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. From the above family tree, it is evident that P is the sister of R.
Third 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. From the above family tree, it is evident that P is the sister 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. From the above family tree, it is evident that P is the maternal grandfather of R.

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