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
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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.
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