Question
Data Interpretation Question on Data Sufficiency
Each question is followed by two statements 'A' and 'B'. Mark your answer accordingly.
What is the area of the play ground P?
A. Playground P is rectangular in shape and is 120 metres wide.
B. Playground P is square in shape and has a side with length of 120 metres.
Question can be answered with the help of statement 'A’ alone.
Question can be answeredwith the help of statement 'B’ alone.
Question can be answered with the help of both the statements together but not with the help of either statement alone.
Question cannot be answered even with the help of both the statements taken together or separately.
Question can be answered with the help of statement 'A’ alone.
Solution
The correct option is (B):
Explanation: To determine the area of playground P, let's evaluate the statements:
- Statement A: "The playground is rectangular in shape and is 120 metres wide."
This only provides the width of the playground, but without the length, we cannot calculate the area. Therefore, Statement A alone is insufficient.
- Statement B: "The playground is square in shape and has a side with a length of 120 metres."
For a square, the area is simply the square of the side length. Since the side length is provided as 120 metres, we can calculate the area as:
Area=120×120=14,400 square metres
Thus, Statement B alone is sufficient** to determine the area of the playground.
The correct answer is: B: If the question can be answered with the help of statement 'B' alone.