Let us think about a puzzle.
There are two electonic devices on the
table.The device A makes BEEP sound in
every 1 minute.
The device B makes BEEP sound in every 62
seconds.
Both of the devices beeped at 10 O’clock.
The times of beeping the first device is
written as a sequence below
10:01:00 , 10:02:00 , 10:03:00 , 10:04:00 · · ·
a) Write the sequence of the beeping time
of the second device
b) What is the nearest time at which
the devices beeped together after 10
O’clock
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Answers
Step-by-step explanation:
Four different electronic devices make a beep after every 30 minutes, 1 hour, 3/2 hours and 1 hour and 45 minutes respectively. All the devices beeped together at 12 noon. When will they beep together again?
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Hello ‘Jay Prakash Yadav’…..
I think you are not able to understand the concept used by the others to solve the ques…..
Lets take a small similar example..
There are 2 bells: Bell A & Bell B
Bell A rings after every 2 mins & Bell B rings after every 3 mins. If at 12 noon both bells ring together, then the time after which they will again ring together:
Let do manually:
Bell A : 2 mins + 2 mins + 2 mins = 6 mins
Bell B: 3 mins + 3 mins = 6 mins
=> After 6 mins they will ring again. This is what L.C.M do (For the defn. of L.C.M search Wikipedia)…..
So return to the original ques.
Device A: 30 mins
Device B: 60 mins
Device C: 90 mins
Device D: 105 mins
So L.C.M of above devices is 1260 mins = 21 hrs.
That means they will make a beep together again after 21 hrs to 12 Noon, that is 9:00 am (12 noon + (12 + 9) = 9 am ) of next day…
Hope it Helps…..
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