Question : Directions: If X × Y means that X is the father of Y, X ÷ Y means that X is the mother of Y, and X – Y means that X is the brother of Y then which of the following expressions shows that A is the father of C?

Option 1: A – B × C

Option 2: A ÷ C – B

Option 3: A × B ÷ C

Option 4: A × B – C

Correct Answer: A × B – C

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

Let's check the given options –
First option: A – B × C
According to the given information, the family tree will be –

Here, the quadrilateral represents the male, and the circular figure represents the female. From the above family tree, it is evident that A is the uncle of C.
Second option: A ÷ C – B
According to the given information, the family tree will be –

Here, the quadrilateral represents the male, and the circular figure represents the female. From the above family tree, it is evident that A is the mother of C.
Third option: A × B ÷ C
According to the given information, the family tree will be –

Here, the quadrilateral represents the male, and the circular figure represents the female. From the above family tree, it is evident that A is the maternal grandfather of C.
Fourth option: A × B – C
According to the given information, the family tree will be –

Here, the quadrilateral represents the male, and the circular figure represents the female. From the above family tree, it is evident that A is the father of C.

So, only the expression in the fourth option fulfils the relation given in the question. Hence, the fourth option is correct.