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Four sirens at a Nagpur factory sound every 10, 15, 25 and 30 minutes. All four sound together at 6:00 am.
How many MORE times will all four sound together before 6:00 pm the same day?

Class 10HCF and LCMNumber Systems
  • A5
  • B4
  • C3
  • D24

Step-by-Step Solution

LCM(10, 15, 25, 30) = minutes = 2 h 30 min. From 6:00 am they next sound together at 8:30 am, 11:00 am, 1:30 pm and 4:00 pm - that is 4 more times, since the following one falls at 6:30 pm. Answering 5 counts the 6:00 am start as well; 24 divides the 12 hours by the longest interval, 30 minutes.
Answer: B) 4

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