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Four people clap after every 20 minutes, 30 minutes, 40 minutes and 50 minutes respectively. All of them clapped together at 10.00 am. Then they will again clap together at ________  
  • a)
    3 pm  
  • b)
    5 pm  
  • c)
    6 pm  
  • d)
    8 pm 
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Four people clap after every 20 minutes, 30 minutes, 40 minutes and 50...
The LCM of 20, 30, 40, 50 is 600 So they will clap together after 600 minutes or 10 hours. So they will again clap together at 8pm 
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Most Upvoted Answer
Four people clap after every 20 minutes, 30 minutes, 40 minutes and 50...
Solution:

To find out the time at which they will clap together again, we need to find the LCM (Lowest Common Multiple) of the given time intervals.

Step 1: Finding the prime factors of the given time intervals:

- 20 minutes = 2 x 2 x 5
- 30 minutes = 2 x 3 x 5
- 40 minutes = 2 x 2 x 2 x 5
- 50 minutes = 2 x 5 x 5

Step 2: Writing the prime factors in ascending order and taking the highest power of each common prime factor:

- 2^3 x 3 x 5^2 = 600

Therefore, the LCM of the given time intervals is 600 minutes or 10 hours.

Step 3: Adding 10 hours to the given time of 10.00 am:

10.00 am + 10 hours = 8.00 pm

Therefore, they will clap together again at 8.00 pm.

Hence, the correct answer is option D) 8 pm.
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Community Answer
Four people clap after every 20 minutes, 30 minutes, 40 minutes and 50...
Take lcm of all 4 it'll be 600 minutes i.e. 10 hours
Add 100 hours to 10am
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Four people clap after every 20 minutes, 30 minutes, 40 minutes and 50 minutes respectively. All of them clapped together at 10.00 am. Then they will again clap together at ________ a)3 pm b)5 pm c)6 pm d)8 pmCorrect answer is option 'D'. Can you explain this answer?
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Four people clap after every 20 minutes, 30 minutes, 40 minutes and 50 minutes respectively. All of them clapped together at 10.00 am. Then they will again clap together at ________ a)3 pm b)5 pm c)6 pm d)8 pmCorrect answer is option 'D'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Four people clap after every 20 minutes, 30 minutes, 40 minutes and 50 minutes respectively. All of them clapped together at 10.00 am. Then they will again clap together at ________ a)3 pm b)5 pm c)6 pm d)8 pmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four people clap after every 20 minutes, 30 minutes, 40 minutes and 50 minutes respectively. All of them clapped together at 10.00 am. Then they will again clap together at ________ a)3 pm b)5 pm c)6 pm d)8 pmCorrect answer is option 'D'. Can you explain this answer?.
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