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What is the number of 360-degree rotations that a bicycle wheel made while rolling 150 meters in a straight line without slipping?
(1) It took 3 minutes for the bicycle wheel to travel the entire distance.
(2) The wheel made twenty 360-degree rotations per minute.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient
  • d)
    EACH statement ALONE is sufficient to answer the question asked
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
What is the number of 360-degree rotations that a bicycle wheel made w...
Statement (1): It took 3 minutes for the bicycle wheel to travel the entire distance.
This statement provides information about the time it took for the wheel to cover the distance, but it does not give any details about the wheel's rotation or the speed at which it was rotating. Without information about the rotation, we cannot determine the number of 360-degree rotations the wheel made. Hence, statement (1) alone is not sufficient to answer the question.
Statement (2): The wheel made twenty 360-degree rotations per minute.
This statement provides information about the number of 360-degree rotations the wheel made per minute, but it does not give any information about the distance traveled or the time it took to travel that distance. Without information about the distance or time, we cannot determine the number of rotations the wheel made while rolling 150 meters. Therefore, statement (2) alone is not sufficient to answer the question.
When we consider both statements together, we know the time it took for the wheel to travel the entire distance (from statement 1) and the number of 360-degree rotations the wheel made per minute (from statement 2). With this information, we can determine the number of rotations the wheel made while rolling 150 meters. By converting the time given in statement 1 from minutes to seconds (3 minutes = 180 seconds) and multiplying it by the rotations per minute given in statement 2 (20 rotations/minute), we can calculate the total rotations:
Total rotations = (Rotations per minute) × (Time in minutes) = 20 rotations/minute × 3 minutes = 60 rotations
Therefore, both statements together are sufficient to answer the question. The correct answer is (C): BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
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Community Answer
What is the number of 360-degree rotations that a bicycle wheel made w...
Statement (1):

The time taken for the bicycle wheel to travel the entire distance is 3 minutes.

We know that the bicycle wheel makes a complete rotation every time it covers a distance equal to its circumference.

Let's assume the circumference of the wheel is C.

Therefore, the distance covered by the wheel in 1 minute is C.

And the distance covered by the wheel in 3 minutes is 3C.

We are given that the wheel covers a distance of 150 meters in 3 minutes.

So, 3C = 150 meters.

From this equation, we can find the value of C (circumference).

Hence, statement (1) alone is sufficient to answer the question.


Statement (2):

The wheel makes twenty 360-degree rotations per minute.

Since the wheel makes 20 rotations per minute, it covers a distance equal to 20 times its circumference in 1 minute.

Therefore, the distance covered by the wheel in 1 minute is 20C.

But we don't know the actual value of C, so we cannot determine the distance covered in 3 minutes.

Hence, statement (2) alone is not sufficient to answer the question.


Statements (1) and (2) together:

From statement (1), we know that the wheel covers a distance of 150 meters in 3 minutes.

From statement (2), we know that the wheel makes twenty 360-degree rotations per minute.

Since the wheel makes 20 rotations per minute, it covers a distance equal to 20 times its circumference in 1 minute.

Therefore, the distance covered by the wheel in 3 minutes is 3 times the distance covered in 1 minute, which is 3 * 20C = 60C.

From statement (1), we know that 60C = 150 meters.

So, we can find the value of C (circumference) and determine the number of rotations.

Hence, both statements together are sufficient to answer the question.


Therefore, the correct answer is option (C) BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
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What is the number of 360-degree rotations that a bicycle wheel made while rolling 150 meters in a straight line without slipping?(1) It took 3 minutes for the bicycle wheel to travel the entire distance.(2) The wheel made twenty 360-degree rotations per minute.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?
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What is the number of 360-degree rotations that a bicycle wheel made while rolling 150 meters in a straight line without slipping?(1) It took 3 minutes for the bicycle wheel to travel the entire distance.(2) The wheel made twenty 360-degree rotations per minute.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect 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 What is the number of 360-degree rotations that a bicycle wheel made while rolling 150 meters in a straight line without slipping?(1) It took 3 minutes for the bicycle wheel to travel the entire distance.(2) The wheel made twenty 360-degree rotations per minute.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect 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 What is the number of 360-degree rotations that a bicycle wheel made while rolling 150 meters in a straight line without slipping?(1) It took 3 minutes for the bicycle wheel to travel the entire distance.(2) The wheel made twenty 360-degree rotations per minute.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?.
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