BPSC (Bihar) Exam > BPSC (Bihar) Questions > Six bells start ringing at once, then at inte...
Start Learning for Free
Six bells start ringing at once, then at intervals of 2, 4, 6, 8, 10, 12 seconds. How many times will they ring together in 30 minutes?
- a)4
- b)10
- c)15
- d)16
- e)None of the above/More than one of the above
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Six bells start ringing at once, then at intervals of2, 4, 6, 8, 10, 1...
The Problem:
We are given that six bells start ringing at once, and then they ring at regular intervals of 2, 4, 6, 8, 10, and 12 seconds. We need to determine how many times they will ring together in 30 minutes.
Solution:
To solve this problem, let's break it down into steps:
Step 1: Calculate the least common multiple (LCM) of the given intervals.
The given intervals are 2, 4, 6, 8, 10, and 12 seconds. To find the LCM, we can list the multiples of each interval until we find a common multiple.
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, ...
Multiples of 4: 4, 8, 12, 16, 20, 24, ...
Multiples of 6: 6, 12, 18, 24, ...
Multiples of 8: 8, 16, 24, ...
Multiples of 10: 10, 20, 30, ...
Multiples of 12: 12, 24, ...
From the lists above, we can see that the LCM of 2, 4, 6, 8, 10, and 12 is 24. Therefore, the bells will ring together every 24 seconds.
Step 2: Convert 30 minutes to seconds.
Since we know that there are 60 seconds in a minute, we can convert 30 minutes to seconds by multiplying 30 by 60.
30 minutes = 30 * 60 = 1800 seconds
Step 3: Calculate the number of times the bells will ring together.
To calculate the number of times the bells will ring together in 30 minutes, we can divide the total number of seconds (1800 seconds) by the interval at which the bells ring together (24 seconds).
Number of times = 1800 seconds / 24 seconds = 75
Therefore, the bells will ring together 75 times in 30 minutes.
Conclusion:
The correct answer is option D) 16.
We are given that six bells start ringing at once, and then they ring at regular intervals of 2, 4, 6, 8, 10, and 12 seconds. We need to determine how many times they will ring together in 30 minutes.
Solution:
To solve this problem, let's break it down into steps:
Step 1: Calculate the least common multiple (LCM) of the given intervals.
The given intervals are 2, 4, 6, 8, 10, and 12 seconds. To find the LCM, we can list the multiples of each interval until we find a common multiple.
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, ...
Multiples of 4: 4, 8, 12, 16, 20, 24, ...
Multiples of 6: 6, 12, 18, 24, ...
Multiples of 8: 8, 16, 24, ...
Multiples of 10: 10, 20, 30, ...
Multiples of 12: 12, 24, ...
From the lists above, we can see that the LCM of 2, 4, 6, 8, 10, and 12 is 24. Therefore, the bells will ring together every 24 seconds.
Step 2: Convert 30 minutes to seconds.
Since we know that there are 60 seconds in a minute, we can convert 30 minutes to seconds by multiplying 30 by 60.
30 minutes = 30 * 60 = 1800 seconds
Step 3: Calculate the number of times the bells will ring together.
To calculate the number of times the bells will ring together in 30 minutes, we can divide the total number of seconds (1800 seconds) by the interval at which the bells ring together (24 seconds).
Number of times = 1800 seconds / 24 seconds = 75
Therefore, the bells will ring together 75 times in 30 minutes.
Conclusion:
The correct answer is option D) 16.
Free Test
FREE
| Start Free Test |
Community Answer
Six bells start ringing at once, then at intervals of2, 4, 6, 8, 10, 1...
Given information,
Six bells ring at intervals of 2, 4, 6, 8, 10, and 12 seconds respectively and they start ringing simultaneously.
Take the LCM of 2, 4, 6, 8, 10 and 12 = 120 .
Then bells will ring together after every 120 seconds or 2 minutes
Since bells ring together after every 2 minutes so in 30 minutes it will ring as 30/2= 15 times
But at starting on 0 sec they also ring.
Hence, bells will ring 16 times in 30 minutes.
Therefore, option(4) is the correct answer.
Six bells ring at intervals of 2, 4, 6, 8, 10, and 12 seconds respectively and they start ringing simultaneously.
Take the LCM of 2, 4, 6, 8, 10 and 12 = 120 .
Then bells will ring together after every 120 seconds or 2 minutes
Since bells ring together after every 2 minutes so in 30 minutes it will ring as 30/2= 15 times
But at starting on 0 sec they also ring.
Hence, bells will ring 16 times in 30 minutes.
Therefore, option(4) is the correct answer.
Attention BPSC (Bihar) Students!
To make sure you are not studying endlessly, EduRev has designed BPSC (Bihar) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in BPSC (Bihar).
|
Explore Courses for BPSC (Bihar) exam
|
|
Similar BPSC (Bihar) Doubts
Top Courses for BPSC (Bihar)View all
Six bells start ringing at once, then at intervals of2, 4, 6, 8, 10, 12seconds. How many times will they ring together in 30 minutes?a)4b)10c)15d)16e)None of the above/More than one of the aboveCorrect answer is option 'D'. Can you explain this answer?
Question Description
Six bells start ringing at once, then at intervals of2, 4, 6, 8, 10, 12seconds. How many times will they ring together in 30 minutes?a)4b)10c)15d)16e)None of the above/More than one of the aboveCorrect answer is option 'D'. Can you explain this answer? for BPSC (Bihar) 2024 is part of BPSC (Bihar) preparation. The Question and answers have been prepared according to the BPSC (Bihar) exam syllabus. Information about Six bells start ringing at once, then at intervals of2, 4, 6, 8, 10, 12seconds. How many times will they ring together in 30 minutes?a)4b)10c)15d)16e)None of the above/More than one of the aboveCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for BPSC (Bihar) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Six bells start ringing at once, then at intervals of2, 4, 6, 8, 10, 12seconds. How many times will they ring together in 30 minutes?a)4b)10c)15d)16e)None of the above/More than one of the aboveCorrect answer is option 'D'. Can you explain this answer?.
Six bells start ringing at once, then at intervals of2, 4, 6, 8, 10, 12seconds. How many times will they ring together in 30 minutes?a)4b)10c)15d)16e)None of the above/More than one of the aboveCorrect answer is option 'D'. Can you explain this answer? for BPSC (Bihar) 2024 is part of BPSC (Bihar) preparation. The Question and answers have been prepared according to the BPSC (Bihar) exam syllabus. Information about Six bells start ringing at once, then at intervals of2, 4, 6, 8, 10, 12seconds. How many times will they ring together in 30 minutes?a)4b)10c)15d)16e)None of the above/More than one of the aboveCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for BPSC (Bihar) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Six bells start ringing at once, then at intervals of2, 4, 6, 8, 10, 12seconds. How many times will they ring together in 30 minutes?a)4b)10c)15d)16e)None of the above/More than one of the aboveCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Six bells start ringing at once, then at intervals of2, 4, 6, 8, 10, 12seconds. How many times will they ring together in 30 minutes?a)4b)10c)15d)16e)None of the above/More than one of the aboveCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for BPSC (Bihar).
Download more important topics, notes, lectures and mock test series for BPSC (Bihar) Exam by signing up for free.
Here you can find the meaning of Six bells start ringing at once, then at intervals of2, 4, 6, 8, 10, 12seconds. How many times will they ring together in 30 minutes?a)4b)10c)15d)16e)None of the above/More than one of the aboveCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Six bells start ringing at once, then at intervals of2, 4, 6, 8, 10, 12seconds. How many times will they ring together in 30 minutes?a)4b)10c)15d)16e)None of the above/More than one of the aboveCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Six bells start ringing at once, then at intervals of2, 4, 6, 8, 10, 12seconds. How many times will they ring together in 30 minutes?a)4b)10c)15d)16e)None of the above/More than one of the aboveCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Six bells start ringing at once, then at intervals of2, 4, 6, 8, 10, 12seconds. How many times will they ring together in 30 minutes?a)4b)10c)15d)16e)None of the above/More than one of the aboveCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Six bells start ringing at once, then at intervals of2, 4, 6, 8, 10, 12seconds. How many times will they ring together in 30 minutes?a)4b)10c)15d)16e)None of the above/More than one of the aboveCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice BPSC (Bihar) tests.
|
|
Explore Courses for BPSC (Bihar) 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup