Four different electronic devices make a beep after every 30 minutes, 1 hour, 1hour 30 minutes and 1 hour 45 minutes respectively. All the devices beeped together at 12 noon. They will again beep together at what time?
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Given that all the electronic devices beeped together at 12 noon....
Moreover, the first device ( f 1 ) beeps every 30 minutes, the second device ( f 2 ) beeps every 60 minutes, the third device ( f 3 ) beeps every 90 minutes while the fourth device ( f 4 ) beeps after every 105 minutes.....
Thus what we got to find is the L.C.M of 30, 60, 90 and 105...
30 = 2 × 3 × 5
60= 2 × 2 × 3 × 5
90= 2 × 3 × 3 × 5
105= 3 × 5 × 7
Therefore, L.C.M. = 2 × 2 × 3 × 3 × 5 × 7
= 1 2 6 0
but 1260 is in minutes, so divide it by 60 and you will get 2 1 hours....
Thus add 21 hours to 12:00 pm(noon) thus you will get 9 A . M