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Question

In the adjoining figure, BDEF and AFDE are parallelograms. Is AF = FB? Why or why not?

Data-Sufficiency-Based MCQ

In each of such questions, one question is followed by two statements I and II. The answer is

(a) if the question can be answered by one of the given statements alone and not by the other;

(b) if the question can be answered by either statement alone;

(c) if the question can be answered by both the statements together but not by any one of the two;

(d) if the question cannot be answered by using both the statements together.

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Solution

Given: Parallelograms BDEF and AFDE.
Since, BF = DE
And, AF = DE
(Opposite sides of parallelogram BDEF)
(Opposite sides of parallelogram AFDE)
...(i)
...(ii)
From (i) and (ii), we get
AF = FB

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