50 bells $B_{1}, B_{2}, B_{3}, . . . . . . . B_{50}$ start ringing together. The bells ring after every 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.....50 sec respectively. Answer the following questions.
1. Bells $B_{1}, B_{2} . . . . . B_{7}$ ring together after how many seconds ?

10 sec

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420 sec

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2520 sec

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1280 sec

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Solution

The correct option is B
420 sec

The bells will ring together whenever they overlap. In other words, the bells will ring together when time equals the LCM of all the number of bells.
LCM of 1, 2, 3, ...... 7 is 420. SO the bells will ring togther after a gap of 420 seconds.

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50 bells B1,B2,B3,.......B50 start ringing together. The bells ring after every 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.....50 sec respectively. Answer the following questions. 1. Bells B1,B2.....B7 ring together after how many seconds ?

The correct option is B 420 sec The bells will ring together whenever they overlap. In other words, the bells will ring together when time equals the LCM of all the number of bells. LCM of 1, 2, 3, ...... 7 is 420. SO the bells will ring togther after a gap of 420 seconds.

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The bells will ring together whenever they overlap. In other words, the bells will ring together when time equals the LCM of all the number of bells.
LCM of 1, 2, 3, ...... 7 is 420. SO the bells will ring togther after a gap of 420 seconds.