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      Question

      What is the area of a circular field? I. The area

      of the largest square that can be inscribed in the given circular field is 450 cm². II. The area of the smallest square in which the given circular field can be inscribed is 900 cm². Each of the questions below consists of a question and three statements numbered I and II given below it. You have to decide whether the data provided in both the statements are sufficient to answer the question. Read all the statements and give answer –
      A If the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question. Correct Answer Incorrect Answer
      B If the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question. Correct Answer Incorrect Answer
      C If the data either in statement I alone or in statement II alone is sufficient to answer the question. Correct Answer Incorrect Answer
      D If the data in both statements I and II together are necessary to answer the question. Correct Answer Incorrect Answer
      E If the data even in both statements I and II together are not sufficient to answer the question. Correct Answer Incorrect Answer

      Solution

      From I, Area of largest square inscribed in a circle of radius r is 2r². Then, 2r² = 450 ∴ r = √225 = 15 cm Thus we can find the area of the circular field. Hence I alone is sufficient to answer the question. From II. Area of the smallest square in which a circle can be inscribed = 4r². Then, 4r² = 900 ∴ r² = √225 = 15 cm Thus we can find the area of the circular field. Hence II alone is sufficient to answer the question.

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