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A circular track needs to be fenced along the inner and outer boundaries of the track to prevent stalkers from interrupting any events. What is the width of the track?
(1) The fencing used for the outer boundary can actually be used to fence the inner boundary twice.
(2) The area of the circle formed by the inner boundary is 10 sq. meter.
(2) The area of the circle formed by the inner boundary is 10 sq. meter.
- a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
- b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
- c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
- d)EACH statement ALONE is sufficient.
- e)Statements (1) and (2) TOGETHER are NOT sufficient.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A circular track needs to be fenced along the inner and outer boundari...
Steps 1 & 2: Understand Question and Draw Inferences
Assume that the inner radius, outer radius and width of the circular track are r, R and w.
Therefore R = r + w
We need to find w.
w = R - r
So we need the values of r and R to find W.
Step 3: Analyze Statement 1
This statement says that the fencing used for outer boundary (perimeter of the outer boundary) is twice the size of the fencing for inner boundary (perimeter of inner boundary).
Perimeter of outer boundary = 2πR
Perimeter of inner boundary = 2πr
Therefore,
2πR = 2*2πr
R = 2r.
However, this information is not enough to find w.
Therefore statement 1 is not sufficient to arrive at a unique answer.
Step 4: Analyze Statement 2
The area of the inner circle is 10 sq. meters.
But we still don’t know R and so we cannot calculate the value of w.
Step 5: Analyze Both Statements Together (if needed)
Combining the information we got from statements (1) and (2);
Therefore statement (1) and statement (2) together are sufficient to arrive at a unique answer.
Correct Answer: C
Most Upvoted Answer
A circular track needs to be fenced along the inner and outer boundari...
Statement (1): The fencing used for the outer boundary can actually be used to fence the inner boundary twice.
This statement implies that the length of the fencing used for the outer boundary is equal to twice the length of the fencing used for the inner boundary. However, it does not provide any information about the actual lengths of the fences or the width of the track. Therefore, statement (1) alone is not sufficient to determine the width of the track.
Statement (2): The area of the circle formed by the inner boundary is 10 sq. meter.
The area of a circle is given by the formula A = πr^2, where A is the area and r is the radius of the circle. In this case, statement (2) tells us that the area of the circle formed by the inner boundary is 10 sq. meter. However, knowing the area of the circle does not provide any information about the width of the track. Therefore, statement (2) alone is not sufficient to determine the width of the track.
Statements (1) and (2) together:
Combining both statements, we know that the length of the fencing used for the outer boundary is equal to twice the length of the fencing used for the inner boundary, and the area of the circle formed by the inner boundary is 10 sq. meter.
Using these two pieces of information, we can solve for the radius of the inner circle. Since the area of the circle is given as 10 sq. meter, we can set up the equation 10 = πr^2 and solve for r. Once we have the radius of the inner circle, we can add the width of the track to it to find the radius of the outer circle. Finally, we can multiply the radius of the outer circle by 2 to find the diameter, which will give us the width of the track.
Therefore, both statements together are sufficient to determine the width of the track.
Hence, the correct answer is option (C).
This statement implies that the length of the fencing used for the outer boundary is equal to twice the length of the fencing used for the inner boundary. However, it does not provide any information about the actual lengths of the fences or the width of the track. Therefore, statement (1) alone is not sufficient to determine the width of the track.
Statement (2): The area of the circle formed by the inner boundary is 10 sq. meter.
The area of a circle is given by the formula A = πr^2, where A is the area and r is the radius of the circle. In this case, statement (2) tells us that the area of the circle formed by the inner boundary is 10 sq. meter. However, knowing the area of the circle does not provide any information about the width of the track. Therefore, statement (2) alone is not sufficient to determine the width of the track.
Statements (1) and (2) together:
Combining both statements, we know that the length of the fencing used for the outer boundary is equal to twice the length of the fencing used for the inner boundary, and the area of the circle formed by the inner boundary is 10 sq. meter.
Using these two pieces of information, we can solve for the radius of the inner circle. Since the area of the circle is given as 10 sq. meter, we can set up the equation 10 = πr^2 and solve for r. Once we have the radius of the inner circle, we can add the width of the track to it to find the radius of the outer circle. Finally, we can multiply the radius of the outer circle by 2 to find the diameter, which will give us the width of the track.
Therefore, both statements together are sufficient to determine the width of the track.
Hence, the correct answer is option (C).
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A circular track needs to be fenced along the inner and outer boundaries of the track to prevent stalkers from interrupting any events. What is the width of the track?(1) The fencing used for the outer boundary can actually be used to fence the inner boundary twice.(2) The area of the circle formed by the inner boundary is 10 sq. meter.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer?
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A circular track needs to be fenced along the inner and outer boundaries of the track to prevent stalkers from interrupting any events. What is the width of the track?(1) The fencing used for the outer boundary can actually be used to fence the inner boundary twice.(2) The area of the circle formed by the inner boundary is 10 sq. meter.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A circular track needs to be fenced along the inner and outer boundaries of the track to prevent stalkers from interrupting any events. What is the width of the track?(1) The fencing used for the outer boundary can actually be used to fence the inner boundary twice.(2) The area of the circle formed by the inner boundary is 10 sq. meter.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circular track needs to be fenced along the inner and outer boundaries of the track to prevent stalkers from interrupting any events. What is the width of the track?(1) The fencing used for the outer boundary can actually be used to fence the inner boundary twice.(2) The area of the circle formed by the inner boundary is 10 sq. meter.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer?.
A circular track needs to be fenced along the inner and outer boundaries of the track to prevent stalkers from interrupting any events. What is the width of the track?(1) The fencing used for the outer boundary can actually be used to fence the inner boundary twice.(2) The area of the circle formed by the inner boundary is 10 sq. meter.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A circular track needs to be fenced along the inner and outer boundaries of the track to prevent stalkers from interrupting any events. What is the width of the track?(1) The fencing used for the outer boundary can actually be used to fence the inner boundary twice.(2) The area of the circle formed by the inner boundary is 10 sq. meter.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circular track needs to be fenced along the inner and outer boundaries of the track to prevent stalkers from interrupting any events. What is the width of the track?(1) The fencing used for the outer boundary can actually be used to fence the inner boundary twice.(2) The area of the circle formed by the inner boundary is 10 sq. meter.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer?.
Solutions for A circular track needs to be fenced along the inner and outer boundaries of the track to prevent stalkers from interrupting any events. What is the width of the track?(1) The fencing used for the outer boundary can actually be used to fence the inner boundary twice.(2) The area of the circle formed by the inner boundary is 10 sq. meter.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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A circular track needs to be fenced along the inner and outer boundaries of the track to prevent stalkers from interrupting any events. What is the width of the track?(1) The fencing used for the outer boundary can actually be used to fence the inner boundary twice.(2) The area of the circle formed by the inner boundary is 10 sq. meter.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A circular track needs to be fenced along the inner and outer boundaries of the track to prevent stalkers from interrupting any events. What is the width of the track?(1) The fencing used for the outer boundary can actually be used to fence the inner boundary twice.(2) The area of the circle formed by the inner boundary is 10 sq. meter.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A circular track needs to be fenced along the inner and outer boundaries of the track to prevent stalkers from interrupting any events. What is the width of the track?(1) The fencing used for the outer boundary can actually be used to fence the inner boundary twice.(2) The area of the circle formed by the inner boundary is 10 sq. meter.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A circular track needs to be fenced along the inner and outer boundaries of the track to prevent stalkers from interrupting any events. What is the width of the track?(1) The fencing used for the outer boundary can actually be used to fence the inner boundary twice.(2) The area of the circle formed by the inner boundary is 10 sq. meter.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice GMAT tests.
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