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Directions: Question 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.
Q. What is the circumference of a Semicircle?
I. The radius of the semicircle is equal to half the side of a square.
II. The area of the square is 196 sq.cm.
- 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.
- 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.
- c)if the data in Statement I alone or in Statement II alone are sufficient to answer the question.
- d)if the data in both the Statements I and II are not sufficient to answer the question.
- e)if the data in both the 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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Most Upvoted Answer
Directions: Question below consists of a question and two statements ...
Understanding the Question
The question asks for the circumference of a semicircle, which is given by the formula:
Circumference of a semicircle = πr + 2r
where r is the radius of the semicircle.
Analyzing Statement I
- Statement I: The radius of the semicircle is equal to half the side of a square.
This statement provides a relationship between the radius (r) of the semicircle and the side length (s) of a square:
r = s/2
While this information helps, we still need the actual value of r (or s) to calculate the circumference. Therefore, Statement I alone is insufficient.
Analyzing Statement II
- Statement II: The area of the square is 196 sq.cm.
Using the formula for the area of a square (A = s^2):
s^2 = 196
=> s = 14 cm
Now, using Statement II, we can find the radius:
r = s/2 = 14/2 = 7 cm.
With the radius known, we can substitute back into the circumference formula:
Circumference of the semicircle = π(7) + 2(7).
Thus, Statement II alone is sufficient to find the circumference.
Combining Both Statements
While Statement II is sufficient on its own, Statement I does not provide the necessary numerical values to compute the circumference. Combining both does not add any more value than what Statement II already provides.
Conclusion
- The correct answer is option 'E' since both statements are needed to understand the relationships, but Statement II alone is sufficient for the answer.
The question asks for the circumference of a semicircle, which is given by the formula:
Circumference of a semicircle = πr + 2r
where r is the radius of the semicircle.
Analyzing Statement I
- Statement I: The radius of the semicircle is equal to half the side of a square.
This statement provides a relationship between the radius (r) of the semicircle and the side length (s) of a square:
r = s/2
While this information helps, we still need the actual value of r (or s) to calculate the circumference. Therefore, Statement I alone is insufficient.
Analyzing Statement II
- Statement II: The area of the square is 196 sq.cm.
Using the formula for the area of a square (A = s^2):
s^2 = 196
=> s = 14 cm
Now, using Statement II, we can find the radius:
r = s/2 = 14/2 = 7 cm.
With the radius known, we can substitute back into the circumference formula:
Circumference of the semicircle = π(7) + 2(7).
Thus, Statement II alone is sufficient to find the circumference.
Combining Both Statements
While Statement II is sufficient on its own, Statement I does not provide the necessary numerical values to compute the circumference. Combining both does not add any more value than what Statement II already provides.
Conclusion
- The correct answer is option 'E' since both statements are needed to understand the relationships, but Statement II alone is sufficient for the answer.
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Community Answer
Directions: Question below consists of a question and two statements ...
Using statement I,
Radius = half of the side of the square
But the length of the side of a square is not known
Using statement II:
Area of a square = 196
Side of a square = 14 cm
Combining both statements, radius of the circle can be calculated
Hence, option E
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Directions: Question 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.Q. What is the circumference of a Semicircle?I. The radius of the semicircle is equal to half the side of a square.II. The area of the square is 196 sq.cm.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.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.c)if the data in Statement I alone or in Statement II alone are sufficient to answer the question.d)if the data in both the Statements I and II are not sufficient to answer the question.e)if the data in both the Statements I and II together are necessary to answer the questionCorrect answer is option 'E'. Can you explain this answer?
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Directions: Question 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.Q. What is the circumference of a Semicircle?I. The radius of the semicircle is equal to half the side of a square.II. The area of the square is 196 sq.cm.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.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.c)if the data in Statement I alone or in Statement II alone are sufficient to answer the question.d)if the data in both the Statements I and II are not sufficient to answer the question.e)if the data in both the Statements I and II together are necessary to answer the questionCorrect answer is option 'E'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: Question 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.Q. What is the circumference of a Semicircle?I. The radius of the semicircle is equal to half the side of a square.II. The area of the square is 196 sq.cm.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.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.c)if the data in Statement I alone or in Statement II alone are sufficient to answer the question.d)if the data in both the Statements I and II are not sufficient to answer the question.e)if the data in both the Statements I and II together are necessary to answer the questionCorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Question 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.Q. What is the circumference of a Semicircle?I. The radius of the semicircle is equal to half the side of a square.II. The area of the square is 196 sq.cm.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.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.c)if the data in Statement I alone or in Statement II alone are sufficient to answer the question.d)if the data in both the Statements I and II are not sufficient to answer the question.e)if the data in both the Statements I and II together are necessary to answer the questionCorrect answer is option 'E'. Can you explain this answer?.
Directions: Question 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.Q. What is the circumference of a Semicircle?I. The radius of the semicircle is equal to half the side of a square.II. The area of the square is 196 sq.cm.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.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.c)if the data in Statement I alone or in Statement II alone are sufficient to answer the question.d)if the data in both the Statements I and II are not sufficient to answer the question.e)if the data in both the Statements I and II together are necessary to answer the questionCorrect answer is option 'E'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: Question 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.Q. What is the circumference of a Semicircle?I. The radius of the semicircle is equal to half the side of a square.II. The area of the square is 196 sq.cm.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.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.c)if the data in Statement I alone or in Statement II alone are sufficient to answer the question.d)if the data in both the Statements I and II are not sufficient to answer the question.e)if the data in both the Statements I and II together are necessary to answer the questionCorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Question 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.Q. What is the circumference of a Semicircle?I. The radius of the semicircle is equal to half the side of a square.II. The area of the square is 196 sq.cm.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.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.c)if the data in Statement I alone or in Statement II alone are sufficient to answer the question.d)if the data in both the Statements I and II are not sufficient to answer the question.e)if the data in both the Statements I and II together are necessary to answer the questionCorrect answer is option 'E'. Can you explain this answer?.
Solutions for Directions: Question 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.Q. What is the circumference of a Semicircle?I. The radius of the semicircle is equal to half the side of a square.II. The area of the square is 196 sq.cm.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.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.c)if the data in Statement I alone or in Statement II alone are sufficient to answer the question.d)if the data in both the Statements I and II are not sufficient to answer the question.e)if the data in both the Statements I and II together are necessary to answer the questionCorrect answer is option 'E'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Directions: Question 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.Q. What is the circumference of a Semicircle?I. The radius of the semicircle is equal to half the side of a square.II. The area of the square is 196 sq.cm.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.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.c)if the data in Statement I alone or in Statement II alone are sufficient to answer the question.d)if the data in both the Statements I and II are not sufficient to answer the question.e)if the data in both the Statements I and II together are necessary to answer the questionCorrect answer is option 'E'. Can you explain this answer?, a detailed solution for Directions: Question 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.Q. What is the circumference of a Semicircle?I. The radius of the semicircle is equal to half the side of a square.II. The area of the square is 196 sq.cm.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.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.c)if the data in Statement I alone or in Statement II alone are sufficient to answer the question.d)if the data in both the Statements I and II are not sufficient to answer the question.e)if the data in both the Statements I and II together are necessary to answer the questionCorrect answer is option 'E'. Can you explain this answer? has been provided alongside types of Directions: Question 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.Q. What is the circumference of a Semicircle?I. The radius of the semicircle is equal to half the side of a square.II. The area of the square is 196 sq.cm.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.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.c)if the data in Statement I alone or in Statement II alone are sufficient to answer the question.d)if the data in both the Statements I and II are not sufficient to answer the question.e)if the data in both the Statements I and II together are necessary to answer the questionCorrect answer is option 'E'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions: Question 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.Q. What is the circumference of a Semicircle?I. The radius of the semicircle is equal to half the side of a square.II. The area of the square is 196 sq.cm.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.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.c)if the data in Statement I alone or in Statement II alone are sufficient to answer the question.d)if the data in both the Statements I and II are not sufficient to answer the question.e)if the data in both the Statements I and II together are necessary to answer the questionCorrect answer is option 'E'. Can you explain this answer? tests, examples and also practice CAT tests.
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