Four bells tolling together will sound quite loud.

Number Theory Level 1

Four bells toll at intervals of 12 12 min. , 24 24 min. , 9 9 min. and 18 18 min. respectively. If they toll together at 11.30 a m 11.30 \ am , then find the time at which they toll together again for the first time.

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11 : 31 a m 11:31 \ am 12 : 30 p m 12:30 \ pm All other options are wrong. They will never toll together again. 12 : 42 p m 12:42 \ pm

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Sandeep Bhardwaj by Sandeep Bhardwaj , 28, India

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3 solutions

72 is the smallest number which can be divided by 12, 24, 9 & 18 (i.e LCM ). Adding 72 min to 11:30 we get 12:42 pm

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Kartik Bhardwaj
May 20, 2015

LCM of 12, 24, 9 and 18 = 72. So on adding it to 11:30 am we get the answer as 12:42pm.

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Parth Tandon
May 20, 2015

take the lcm and add to 11:30....:)

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