Question : Directions: If A × B means that A is the mother of B, A – B means that A is the father of B, and A ÷ B means that A is the sister 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: Q × P – 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 sister 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 mother 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 in the figure. From the above family tree, it is evident that P is the father 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 paternal grandmother of R.
So, only the expression in the fourth option satisfies the relation given in the question. Hence, the fourth option is correct.
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