Quant Exam > Quant Questions > A, B and C start at the same time in the same...
Start Learning for Free
A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?
- a)26 minutes and 18 seconds
- b)42 minutes and 36 seconds
- c)45 minutes
- d)46 minutes and 12 seconds
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A, B and C start at the same time in the same direction to run around ...
Required Time = LCM of 252, 308 and 198 seconds = 2772 seconds = 46 minutes 12 seconds.
View all questions of this test
Most Upvoted Answer
A, B and C start at the same time in the same direction to run around ...
Given:
- A completes a round in 252 seconds
- B completes a round in 308 seconds
- C completes a round in 198 seconds
To find:
- After what time will they again at the starting point?
Solution:
To find the time at which they will again meet at the starting point, we need to find the least common multiple (LCM) of the given times taken by A, B, and C to complete one round.
Step 1: Prime factorization of the given times:
- 252 = 2 * 2 * 3 * 3 * 7
- 308 = 2 * 2 * 7 * 11
- 198 = 2 * 3 * 3 * 11
Step 2: Finding the LCM:
The LCM is obtained by taking the highest powers of all prime factors involved.
- LCM = 2 * 2 * 3 * 3 * 7 * 11 = 2772 seconds
Step 3: Converting the LCM to minutes and seconds:
- 2772 seconds = 2772 / 60 minutes (quotient) + 2772 % 60 seconds (remainder)
- 2772 seconds = 46 minutes + 12 seconds
Therefore, they will meet again at the starting point after 46 minutes and 12 seconds. Hence, the correct answer is option D.
- A completes a round in 252 seconds
- B completes a round in 308 seconds
- C completes a round in 198 seconds
To find:
- After what time will they again at the starting point?
Solution:
To find the time at which they will again meet at the starting point, we need to find the least common multiple (LCM) of the given times taken by A, B, and C to complete one round.
Step 1: Prime factorization of the given times:
- 252 = 2 * 2 * 3 * 3 * 7
- 308 = 2 * 2 * 7 * 11
- 198 = 2 * 3 * 3 * 11
Step 2: Finding the LCM:
The LCM is obtained by taking the highest powers of all prime factors involved.
- LCM = 2 * 2 * 3 * 3 * 7 * 11 = 2772 seconds
Step 3: Converting the LCM to minutes and seconds:
- 2772 seconds = 2772 / 60 minutes (quotient) + 2772 % 60 seconds (remainder)
- 2772 seconds = 46 minutes + 12 seconds
Therefore, they will meet again at the starting point after 46 minutes and 12 seconds. Hence, the correct answer is option D.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?a)26 minutes and 18 secondsb)42 minutes and 36 secondsc)45 minutesd)46 minutes and 12 secondsCorrect answer is option 'D'. Can you explain this answer?
Question Description
A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?a)26 minutes and 18 secondsb)42 minutes and 36 secondsc)45 minutesd)46 minutes and 12 secondsCorrect answer is option 'D'. 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 start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?a)26 minutes and 18 secondsb)42 minutes and 36 secondsc)45 minutesd)46 minutes and 12 secondsCorrect answer is option 'D'. 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 start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?a)26 minutes and 18 secondsb)42 minutes and 36 secondsc)45 minutesd)46 minutes and 12 secondsCorrect answer is option 'D'. Can you explain this answer?.
A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?a)26 minutes and 18 secondsb)42 minutes and 36 secondsc)45 minutesd)46 minutes and 12 secondsCorrect answer is option 'D'. 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 start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?a)26 minutes and 18 secondsb)42 minutes and 36 secondsc)45 minutesd)46 minutes and 12 secondsCorrect answer is option 'D'. 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 start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?a)26 minutes and 18 secondsb)42 minutes and 36 secondsc)45 minutesd)46 minutes and 12 secondsCorrect answer is option 'D'. Can you explain this answer?.
Solutions for A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?a)26 minutes and 18 secondsb)42 minutes and 36 secondsc)45 minutesd)46 minutes and 12 secondsCorrect answer is option 'D'. 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 start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?a)26 minutes and 18 secondsb)42 minutes and 36 secondsc)45 minutesd)46 minutes and 12 secondsCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?a)26 minutes and 18 secondsb)42 minutes and 36 secondsc)45 minutesd)46 minutes and 12 secondsCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?a)26 minutes and 18 secondsb)42 minutes and 36 secondsc)45 minutesd)46 minutes and 12 secondsCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?a)26 minutes and 18 secondsb)42 minutes and 36 secondsc)45 minutesd)46 minutes and 12 secondsCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?a)26 minutes and 18 secondsb)42 minutes and 36 secondsc)45 minutesd)46 minutes and 12 secondsCorrect answer is option 'D'. 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