Quant Exam > Quant Questions > A, B and C run around a circular track of the...
Start Learning for Free
A, B and C run around a circular track of the length 300 m. A and B run with speeds of 10 m/s and 12 m/s in the same direction respectively and C runs in the opposite direction with a speed of 15 m/s. If all the three start at the same time, which of the following is true?
- a)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is more than 1.
- b)For a given period of time, the ratio of the number of meeting points of B and C to the number of meeting points of A and C is more than 1.
- c)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is equal to 1.
- d)None of the above can be concluded
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A, B and C run around a circular track of the length 300 m. A and B ru...
Solution:
Let's assume that A, B and C meet x times and y times respectively.
Relative speed of A and C = (10 - 15) m/s = -5 m/s (as they are moving in opposite directions)
Relative speed of B and C = (12 + 15) m/s = 27 m/s (as they are moving in the same direction)
Time taken by A and B to meet again = LCM(300/10, 300/12) = LCM(30, 25) = 150 seconds
Time taken by C to meet A and B again = LCM(300/15, 300/27) = LCM(20, 11.11) = 220 seconds
1. Ratio of the number of meeting points of B and C to the number of meeting points of A and C is more than 1.
For a given period of time, the ratio of the number of meetings of B and C to the number of meetings of A and C can be calculated as follows:
- A and B meet after every 150 seconds, so they meet x times in 150 seconds.
- C meets A and B after every 220 seconds, so they meet y times in 220 seconds.
- Therefore, the ratio of the number of meetings of B and C to the number of meetings of A and C is y/x.
Substituting the values of x and y, we get:
y/x = 220/150
y/x > 1
Hence, option B is correct.
2. Ratio of the number of meeting points of A and C to the number of meeting points of B and C is not equal to 1.
The ratio of the number of meetings of A and C to the number of meetings of B and C can be calculated as follows:
- A and B meet after every 150 seconds, so they meet x times in 150 seconds.
- C meets A and B after every 220 seconds, so they meet y times in 220 seconds.
- Therefore, the ratio of the number of meetings of A and C to the number of meetings of B and C is x/y.
Substituting the values of x and y, we get:
x/y = 150/220
x/y ≠ 1
Hence, option C is incorrect.
3. None of the above can be concluded.
Since option B is correct, option D is incorrect.
Therefore, the correct answer is option B.
Let's assume that A, B and C meet x times and y times respectively.
Relative speed of A and C = (10 - 15) m/s = -5 m/s (as they are moving in opposite directions)
Relative speed of B and C = (12 + 15) m/s = 27 m/s (as they are moving in the same direction)
Time taken by A and B to meet again = LCM(300/10, 300/12) = LCM(30, 25) = 150 seconds
Time taken by C to meet A and B again = LCM(300/15, 300/27) = LCM(20, 11.11) = 220 seconds
1. Ratio of the number of meeting points of B and C to the number of meeting points of A and C is more than 1.
For a given period of time, the ratio of the number of meetings of B and C to the number of meetings of A and C can be calculated as follows:
- A and B meet after every 150 seconds, so they meet x times in 150 seconds.
- C meets A and B after every 220 seconds, so they meet y times in 220 seconds.
- Therefore, the ratio of the number of meetings of B and C to the number of meetings of A and C is y/x.
Substituting the values of x and y, we get:
y/x = 220/150
y/x > 1
Hence, option B is correct.
2. Ratio of the number of meeting points of A and C to the number of meeting points of B and C is not equal to 1.
The ratio of the number of meetings of A and C to the number of meetings of B and C can be calculated as follows:
- A and B meet after every 150 seconds, so they meet x times in 150 seconds.
- C meets A and B after every 220 seconds, so they meet y times in 220 seconds.
- Therefore, the ratio of the number of meetings of A and C to the number of meetings of B and C is x/y.
Substituting the values of x and y, we get:
x/y = 150/220
x/y ≠ 1
Hence, option C is incorrect.
3. None of the above can be concluded.
Since option B is correct, option D is incorrect.
Therefore, the correct answer is option B.
Community Answer
A, B and C run around a circular track of the length 300 m. A and B ru...
B
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
A, B and C run around a circular track of the length 300 m. A and B run with speeds of 10 m/s and 12 m/s in the same direction respectively and C runs in the opposite direction with a speed of 15 m/s. If all the three start at the same time, which of the following is true?a)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is more than 1.b)For a given period of time, the ratio of the number of meeting points of B and C to the number of meeting points of A and C is more than 1.c)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is equal to 1.d)None of the above can be concludedCorrect answer is option 'B'. Can you explain this answer?
Question Description
A, B and C run around a circular track of the length 300 m. A and B run with speeds of 10 m/s and 12 m/s in the same direction respectively and C runs in the opposite direction with a speed of 15 m/s. If all the three start at the same time, which of the following is true?a)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is more than 1.b)For a given period of time, the ratio of the number of meeting points of B and C to the number of meeting points of A and C is more than 1.c)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is equal to 1.d)None of the above can be concludedCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A, B and C run around a circular track of the length 300 m. A and B run with speeds of 10 m/s and 12 m/s in the same direction respectively and C runs in the opposite direction with a speed of 15 m/s. If all the three start at the same time, which of the following is true?a)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is more than 1.b)For a given period of time, the ratio of the number of meeting points of B and C to the number of meeting points of A and C is more than 1.c)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is equal to 1.d)None of the above can be concludedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B and C run around a circular track of the length 300 m. A and B run with speeds of 10 m/s and 12 m/s in the same direction respectively and C runs in the opposite direction with a speed of 15 m/s. If all the three start at the same time, which of the following is true?a)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is more than 1.b)For a given period of time, the ratio of the number of meeting points of B and C to the number of meeting points of A and C is more than 1.c)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is equal to 1.d)None of the above can be concludedCorrect answer is option 'B'. Can you explain this answer?.
A, B and C run around a circular track of the length 300 m. A and B run with speeds of 10 m/s and 12 m/s in the same direction respectively and C runs in the opposite direction with a speed of 15 m/s. If all the three start at the same time, which of the following is true?a)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is more than 1.b)For a given period of time, the ratio of the number of meeting points of B and C to the number of meeting points of A and C is more than 1.c)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is equal to 1.d)None of the above can be concludedCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A, B and C run around a circular track of the length 300 m. A and B run with speeds of 10 m/s and 12 m/s in the same direction respectively and C runs in the opposite direction with a speed of 15 m/s. If all the three start at the same time, which of the following is true?a)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is more than 1.b)For a given period of time, the ratio of the number of meeting points of B and C to the number of meeting points of A and C is more than 1.c)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is equal to 1.d)None of the above can be concludedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B and C run around a circular track of the length 300 m. A and B run with speeds of 10 m/s and 12 m/s in the same direction respectively and C runs in the opposite direction with a speed of 15 m/s. If all the three start at the same time, which of the following is true?a)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is more than 1.b)For a given period of time, the ratio of the number of meeting points of B and C to the number of meeting points of A and C is more than 1.c)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is equal to 1.d)None of the above can be concludedCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A, B and C run around a circular track of the length 300 m. A and B run with speeds of 10 m/s and 12 m/s in the same direction respectively and C runs in the opposite direction with a speed of 15 m/s. If all the three start at the same time, which of the following is true?a)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is more than 1.b)For a given period of time, the ratio of the number of meeting points of B and C to the number of meeting points of A and C is more than 1.c)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is equal to 1.d)None of the above can be concludedCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of A, B and C run around a circular track of the length 300 m. A and B run with speeds of 10 m/s and 12 m/s in the same direction respectively and C runs in the opposite direction with a speed of 15 m/s. If all the three start at the same time, which of the following is true?a)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is more than 1.b)For a given period of time, the ratio of the number of meeting points of B and C to the number of meeting points of A and C is more than 1.c)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is equal to 1.d)None of the above can be concludedCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A, B and C run around a circular track of the length 300 m. A and B run with speeds of 10 m/s and 12 m/s in the same direction respectively and C runs in the opposite direction with a speed of 15 m/s. If all the three start at the same time, which of the following is true?a)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is more than 1.b)For a given period of time, the ratio of the number of meeting points of B and C to the number of meeting points of A and C is more than 1.c)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is equal to 1.d)None of the above can be concludedCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A, B and C run around a circular track of the length 300 m. A and B run with speeds of 10 m/s and 12 m/s in the same direction respectively and C runs in the opposite direction with a speed of 15 m/s. If all the three start at the same time, which of the following is true?a)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is more than 1.b)For a given period of time, the ratio of the number of meeting points of B and C to the number of meeting points of A and C is more than 1.c)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is equal to 1.d)None of the above can be concludedCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A, B and C run around a circular track of the length 300 m. A and B run with speeds of 10 m/s and 12 m/s in the same direction respectively and C runs in the opposite direction with a speed of 15 m/s. If all the three start at the same time, which of the following is true?a)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is more than 1.b)For a given period of time, the ratio of the number of meeting points of B and C to the number of meeting points of A and C is more than 1.c)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is equal to 1.d)None of the above can be concludedCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A, B and C run around a circular track of the length 300 m. A and B run with speeds of 10 m/s and 12 m/s in the same direction respectively and C runs in the opposite direction with a speed of 15 m/s. If all the three start at the same time, which of the following is true?a)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is more than 1.b)For a given period of time, the ratio of the number of meeting points of B and C to the number of meeting points of A and C is more than 1.c)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is equal to 1.d)None of the above can be concludedCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup