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Question

Each of the following questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.

What is the area of the square?

I. The diagonal of the square is the 6√3m.

II. The perimeter of the square is 48m.

A If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question. Correct Answer Incorrect Answer
B If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question. Correct Answer Incorrect Answer
C If the data either in statement I alone or statement II alone are sufficient to answer the question. Correct Answer Incorrect Answer
D If the data in both statement I and II together are not sufficient to answer the question. Correct Answer Incorrect Answer
E If the data in both statement I and II together are necessary to answer the question. Correct Answer Incorrect Answer

Solution

From I Area of the square = 1/2 d2 = 1/2 (6√3)² = 1/2 × 36 × 3 = 54m²  From II Perimeter of the square = 48m Side = 48/4 = 12m ∴ Area of the square = (12)² = 144m²  Hence, the question can be answered either from statement I or from statement II.

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