Consider the following for the next ten (10) items that follow: Each item contains a Question followed by two Statements. Answer each item using the following instructions: Area of a rectangle with length x and breadth y is P and area of a parallelogram (which is strictly not a rectangle) with adjacent sides of length x and y is Q. P, Q, R, S are the mid - points of sides AB, BC, CD, DA respectively of a quadrilateral ABCD. Question : What is the difference in the area of the quadrilateral ABCD and the area of the quadrilateral PQRS ?
- AIf the Question can be answered by one of the Statements alone, but not by the other.
- BIf the Question can be answered by either Statement alone.
- CIf the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone.
- DIf the Question cannot be answered even by using both Statements together.
Explanation
The Varignon parallelogram PQRS always has half the area of ABCD, so the difference is half of ABCD’s area. Statement I gives 100 − 50 = 50 and statement II independently gives 2 × 50 − 50 = 50. Either alone suffices: option (b).