CAT Exam  >  CAT Questions  >   Each of the questions below consists of a qu... Start Learning for Free
Each of the 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.
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?
Verified Answer
Each of the questions 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 5
View all questions of this test
Most Upvoted Answer
Each of the questions below consists of a question and two statements...
Understanding the Problem
To find the circumference of a semicircle, we need to know its radius. The formula for the circumference of a semicircle is given by:
Circumference = 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 and the side of a square but does not give a numerical value for either. Thus, we cannot determine the actual radius from this statement alone.
Analyzing Statement II
- Statement II: The area of the square is 196 sq.cm.
- From this statement, we can calculate the side length of the square using the formula for area (Area = side²). Therefore, the side of the square is √196 = 14 cm.
- Since the radius of the semicircle is half the side of the square, the radius would be 14 cm / 2 = 7 cm.
Combining Both Statements
- Both statements together clarify the relationship between the square and the semicircle:
- From Statement II, we get the side of the square, and from Statement I, we find the radius of the semicircle.
- Thus, we can now substitute the radius back into the semicircle circumference formula.
Conclusion
- Neither statement alone is sufficient to answer the question. However, when combined, they provide all the necessary information to calculate the circumference of the semicircle. Therefore, the correct answer is option 'E': both statements together are necessary to answer the question.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
Explore Courses for CAT exam

Similar CAT Doubts

Top Courses for CAT

Each of the 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.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?
Question Description
Each of the 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.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? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Each of the 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.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? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Each of the 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.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?.
Solutions for Each of the 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.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? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Each of the 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.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? defined & explained in the simplest way possible. Besides giving the explanation of Each of the 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.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?, a detailed solution for Each of the 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.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? has been provided alongside types of Each of the 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.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? theory, EduRev gives you an ample number of questions to practice Each of the 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.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? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev