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There are 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.
Q. Find the area of a rectangle inscribed in a circle?
Statement I: Area of the circle is 210.25π m2.
Statement II: Perimeter of the rectangle is 100 metres.
  • a)
    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.
  • b)
    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.
  • c)
    The data either in statement I alone or in statement II alone is sufficient to answer the question.
  • d)
    The data given in both statements I and II together are not sufficient to answer the question.
  • e)
    The data in both statements I and II together are necessary to answer the question.
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
There are two statements numbered “I and II” given below it. You have...
Statement Analysis:

Statement I:
- Gives the area of the circle as 210.25π m2.

Statement II:
- Provides the perimeter of the rectangle as 100 metres.

Explanation:

Area of a Rectangle Inscribed in a Circle:
- To find the area of a rectangle inscribed in a circle, we need to know the dimensions of the rectangle.

Analysis of Statements:
- Statement I gives the area of the circle, but it does not provide any information about the rectangle.
- Statement II gives the perimeter of the rectangle, but it does not provide any information about the circle or the dimensions of the rectangle.

Combining the Statements:
- By combining both statements, we can use the information about the area of the circle to determine the radius of the circle.
- With the radius of the circle, we can then calculate the side lengths of the rectangle inscribed in the circle.
- Knowing the side lengths of the rectangle will allow us to find the area of the rectangle.
Therefore, the data in both statements I and II together are necessary to answer the question of finding the area of a rectangle inscribed in a circle. So, the correct answer is option 'E'.
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Community Answer
There are two statements numbered “I and II” given below it. You have...
Statement I
Let the radius of the circle is r metres.
So, πr2 = 210.25π
r2 = 210.25
r = 14.5
So, data in statement I alone is not sufficient to answer the question.
Statement II:
Let the length and breadth of the rectangle is l metres and b metres, respectively.
So, 2(l + b) = 100
l + b = 50
So, data in statement II alone is not sufficient to answer the question.
Combining statement I and II, we get
Diameter of circle = length of diagonal of the rectangle
So, length of diagonal = 14.5 × 2 = 29 metres
So, l2 + b2 = 29 × 29 = 841
So, (l + b)2 = l2 + b2 + 2lb
50 × 50 = 841+ 2lb
2lb = 1659
lb = 829.5
So, area of rectangle = 829.5 m2
Therefore, the data in both statements I and II together are necessary to answer the question.
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There are 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.Q. Find the area of a rectangle inscribed in a circle?Statement I: Area of the circle is 210.25π m2.Statement II: Perimeter of the rectangle is 100 metres.a)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.b)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.c)The data either in statement I alone or in statement II alone is sufficient to answer the question.d)The data given in both statements I and II together are not sufficient to answer the question.e)The data in both statements I and II together are necessary to answer the question.Correct answer is option 'E'. Can you explain this answer?
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There are 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.Q. Find the area of a rectangle inscribed in a circle?Statement I: Area of the circle is 210.25π m2.Statement II: Perimeter of the rectangle is 100 metres.a)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.b)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.c)The data either in statement I alone or in statement II alone is sufficient to answer the question.d)The data given in both statements I and II together are not sufficient to answer the question.e)The data in both statements I and II together are necessary to answer the question.Correct answer is option 'E'. Can you explain this answer? for Banking Exams 2024 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about There are 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.Q. Find the area of a rectangle inscribed in a circle?Statement I: Area of the circle is 210.25π m2.Statement II: Perimeter of the rectangle is 100 metres.a)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.b)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.c)The data either in statement I alone or in statement II alone is sufficient to answer the question.d)The data given in both statements I and II together are not sufficient to answer the question.e)The data in both statements I and II together are necessary to answer the question.Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for Banking Exams 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 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.Q. Find the area of a rectangle inscribed in a circle?Statement I: Area of the circle is 210.25π m2.Statement II: Perimeter of the rectangle is 100 metres.a)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.b)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.c)The data either in statement I alone or in statement II alone is sufficient to answer the question.d)The data given in both statements I and II together are not sufficient to answer the question.e)The data in both statements I and II together are necessary to answer the question.Correct answer is option 'E'. Can you explain this answer?.
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