four alarm clocks are set in such a way that they beep at a gap of every 21 36 45 and 52 seconds
Answers
Answer:
60 minutes
The clock will ring after 60 minutes.
Step-by-step explanation:
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Given : Four alarm clocks are set in such a way that they beep at a gap of 21,36,45 and 52 seconds
clock beeped together at 10 : 30 AM
To Find : At what time will these clocks beep together
Solution:
21 = 2 * 7
36 = 2 * 2 * 3 * 3
45 = 3 * 3 * 5
52 = 2 * 2 * 13
LCM = 2 * 2 * 3 * 3 * 5 * 7 * 13
= 16,380 seconds
= 4 hrs 55 mins
Hence clocks will beep every 4 hrs 55 mins together
clock beeped together at 10 : 30 AM
=> 10 : 30 + 4 : 55
= 3 : 25 pm
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