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Six bells starts ringing logether and ring at intervals of 4, 8, 10, 12, 15 and 20 seconds respectively. How many times will they ring together in 60 minutes?

Six bells starts ringing logether and ring at intervals of 4, 8, 10, 12, 15 and 20 seconds respectively. How many times will they ring together in 60 minutes? Correct Answer 31

LCM of 4, 8, 10, 12, 15 and 20 = 120 120 seconds = 2 minutes Hence all the bells will ring together in every 2 minutes Hence, number of times they will ring together in 60 minutes = 1 + <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>60</mn><mn>2</mn></mfrac></math> = 31

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