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Two alarm clocks ring their alarms at regular intervals of 50 seconds and 48 seconds. If they first beep together at 12 noon, at what time will they beep again for the first time?
  • a)
    12.20 pm
  • b)
    12.12 pm
  • c)
    12.11 pm
  • d)
    none of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Two alarm clocks ring their alarms at regular intervals of 50 seconds ...
LCM of 50 and 48 = 1200
∴ 1200 sec = 20 min
Hence at 12.20 pm they will beep again for the first time.
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Most Upvoted Answer
Two alarm clocks ring their alarms at regular intervals of 50 seconds ...
I think you are wrong 
the correct answer is option A
according to fundamental theorem of arithmetic, prime factorisation of 50 = 2*5*5 and 48=2*2*2*2*3
LCM of 50 and 48 is 2*2*2*2*3*5*5 = 1200 sec
on dividing with 60 seconds to convert it into minutes 
we get 20 minutes 
So, after 20 minutes they will beep again.
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Community Answer
Two alarm clocks ring their alarms at regular intervals of 50 seconds ...
They will ring together after, LCM of 48 and 50 secs. = 20 min. They will beep together at 12:20..
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Two alarm clocks ring their alarms at regular intervals of 50 seconds and 48 seconds. If they first beep together at 12 noon, at what time will they beep again for the first time?a)12.20 pmb)12.12 pmc)12.11 pmd)none of theseCorrect answer is option 'D'. Can you explain this answer?
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