UPSC CDS I 2024 Math Paper

Question : 70 of 100

Marks: +1, -0

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 ?
Statement - I : Area of the quadrilateral ABCD is 100 square unit.
Statement - II : Area of the quadrilateral PQRS is 50 square unit.

If the Question can be answered by one of the Statements alone, but not by the other.
If the Question can be answered by either Statement alone.
If the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone.
If the Question cannot be answered even by using both Statements together.

Validate

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