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Marie has two electronic beepers: one beeps 5 times every 90 seconds
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04 Mar 2021, 11:32
04 Mar 2021, 11:32
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Question Stats:
53% (02:21) correct
46% (02:47) wrong based on 15 sessions
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Marie has two electronic beepers: one beeps 5 times in every 90 seconds and the other one beeps 6 times in every 96 seconds. If both the beepers are started simultaneously, how many times will they beep together in next 3 hours 35 mins and 16 seconds?
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89
Re: Marie has two electronic beepers: one beeps 5 times every 90 seconds
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04 Mar 2021, 17:12
04 Mar 2021, 17:12
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Beeper 1 - Beeps every 18 sec (5 times for every 90s)
Beeper 2 - Beeps every 16 sec (6 times every 96s)
Therefore they overlap every 144 sec (LCM of 18 and 16)
3 hours 35 mins and 16 seconds
= 3*3600 + 35*60 + 16 = 12916
Therefore common beep times = 12916/144 = 89.xxx; discard decimal for 89
Beeper 2 - Beeps every 16 sec (6 times every 96s)
Therefore they overlap every 144 sec (LCM of 18 and 16)
3 hours 35 mins and 16 seconds
= 3*3600 + 35*60 + 16 = 12916
Therefore common beep times = 12916/144 = 89.xxx; discard decimal for 89
General Discussion
Re: Marie has two electronic beepers: one beeps 5 times every 90 seconds
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29 Aug 2024, 11:57
29 Aug 2024, 11:57
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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