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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 q
Question

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.
Consider the following for the next two (02) items follow:
In a pie-diagram (with radius 7cm), the central angle of the sectors is in the ratio 2:3:7:5:1.

A.

If the Question can be answered by one of the Statements alone, but not by the other.

B.

If the Question can be answered by either Statement alone.

C.

If the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone.

D.

If the Question cannot be answered even by using both Statements together.

Correct option is B

Either (1) or (2)
Statement - I: Area of the quadrilateral ABCD is 100 square unit.
If mid points are joined to make the quadrilateral PQRS than the area will be half of the original quadrilateral,
Hence, we can calculate the area of quadrilateral using the statement 1.
Statement - II: Area of the quadrilateral PQRS is 50 square unit.
Using the same concept we can find the area of both the quadrilaterals.
Hence, both statements are alone sufficient to answer the question

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