Question 9
Four different electronic devices make a beep after every 30 minutes, 1 hour, 1½ hour and 1 hour 45 minutes, respectively. All these devices beeped together at 12 noon. They will again beep together at
Solution
All the devices will again beep together after every N minutes where N is the LCM of 30 mis, 1hr, 1hr 30 mins and 1 hr 45 mins.
We need to find the LCM of 30, 60, 90 and 105 mins.
Their LCM will be 1260 mins i.e. 21 hrs.
So, if they beeped together at 12 noon, next time, they will beep together at 12 noon + 21 hrs = 9 am.
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