InterviewSolution
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Four Bells Begin To Toll Together And Then Each One At Intervals Of 6 S, 7 S, 8 S And 9 S Respectively.the Number Of Times They Will Toll Together In The Next 2 Hr Is? |
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Answer» first we to find the L.C.M. of 6, 7, 8 and 9. Prime factorization of 6 = 2*3 Prime factorization of 7 = 7 Prime factorization of 8 = 2*2*2 Prime factorization of 9 = 3*3 L.C.M. = 2*2*2*3*3*7 = 504 The L.C.M. of 6 SECONDS, 7 seconds, 8 seconds and 9 seconds is 504 seconds. Now, 1 hour = 3600 seconds So, 2 hours = 3600*2 = 7200 seconds The number of times the FOUR bells will toll together in the next 2 hour = 7200/504 = 14.28 or 14 times They will toll together 14 times in the next 2 hours first we to find the L.C.M. of 6, 7, 8 and 9. Prime factorization of 6 = 2*3 Prime factorization of 7 = 7 Prime factorization of 8 = 2*2*2 Prime factorization of 9 = 3*3 L.C.M. = 2*2*2*3*3*7 = 504 The L.C.M. of 6 seconds, 7 seconds, 8 seconds and 9 seconds is 504 seconds. Now, 1 hour = 3600 seconds So, 2 hours = 3600*2 = 7200 seconds The number of times the four bells will toll together in the next 2 hour = 7200/504 = 14.28 or 14 times They will toll together 14 times in the next 2 hours |
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