Question : Directions: If A × B means that A is the father of B, A ÷ B means that A is the mother of B, and A + B means that A is the brother of B then which of the following expressions shows that P is the paternal grandmother of R?
Option 1: P ÷ R × Q
Option 2: P ÷ Q × R
Option 3: P ÷ Q + R
Option 4: P × Q ÷ R
Correct Answer: P ÷ Q × R
Solution :
Let's check the 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. From the above family tree, it is evident that P is the mother of R.
Second 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. From the above family tree, it is evident that P is the paternal grandmother of R.
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. From the above family tree, it is evident that P is the mother 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 in the figure. From the above family tree, it is evident that P is the maternal grandfather of R.
So, only the expression in the second option satisfies the relation given in the question. Hence, the second option is correct.
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