Three rings complete 60, 36 and 24 revolutions in a minute. They start from a certain point in their circumference downwards. By what time they come together again in the same position?
Question and options
Three rings complete 60, 36 and 24 revolutions in a minute. They start from a certain point in their circumference downwards. By what time they come together again in the same position?
- 5 seconds
- 4 seconds
- 7 seconds
- 3 seconds
Answer and explanation
Correct answer: A - 5 seconds
Time per revolution: 60/60 = 1 s, 60/36 = 5/3 s, 60/24 = 5/2 s. LCM of fractions = LCM(1,5,5)/HCF(1,3,2) = 5 s.
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