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: Q – P × R

Option 2: P – Q + R

Option 3: P – Q × R

Option 4: R – P × Q

Correct Answer: P – Q + R

Solution : Given:
L × M ⇒ L is the mother of M
L – M ⇒ L is the father of M
L + M ⇒ L is the sister of M

Let's check the options –
First 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, P is the mother of R.
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, P is the father of R.
Third 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, P is the grandfather of R.
Fourth option: R – P × Q
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, P is the daughter of R.

So, only in the second option, P is the father of R. Hence, the second option is correct.