Four bells are arranged in such a manner that they ring once every 5,8,10 and 12 respectively. After how many minutes of their ringing simultaneously will they ring again together.

Answers (1)

The time interval between two rings :

  Take LCM 5, 8, 10, 12 minutes-:

                                                   $$ 5 = 5$$\$$ $$ 8 = 2 	imes 2 	imes 2 $$\$$ $10 = 5 	imes 2 $$ \$$ $$ 12 = 2 	imes 2 	imes 3 $$ \$$ $$ LCM = 2 	imes 2 	imes 2 	imes 3 	imes 5 = 120 $$

Hence, the bells will ring simultaneously at an interval of 120 minutes or 2 hours

 

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