4 Bells toll together at 9:00 A.M. They toll after 7, 8, 11, and 12 seconds respectively. How many times will they toll together again in the next 3 times?

Answer: 5 times

From given, we have,

9:00 AM + LCM ( 7, 8, 11 & 12 )

⇒ 9:00 AM + 1848/60 Min

= 9:00 AM + 30.80 min

  • In 3 hours there are =  secs.
  • Number of times the bell would toll 
  • Number of times the bell would toll 

After every 1848 secs, they will toll together.

So, The sequence will be 9:00 AM , 9:31 AM , 10 : 02 AM , 10:33 AM, 11:04 AM , 11: 35 AM…

Thus, in the 3 hours, the bells will toll together 5 times.

Articles to Explore:

  1. Find the series of this number 3, 11, 25, 45?
  2. Find the next number in the series 2, 3, 6, 18, 108, …..?

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