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Six bells make a sound of tick together in the beginning and after every 5 sec, 10 sec, 15 sec, 20 sec, 18 sec, and 21 sec respectively. How many times will the bells ring together in 1.5 hours?

Six bells make a sound of tick together in the beginning and after every 5 sec, 10 sec, 15 sec, 20 sec, 18 sec, and 21 sec respectively. How many times will the bells ring together in 1.5 hours? Correct Answer 5

GIVEN:

Six bells make a sound of tick after every 5 sec, 10 sec, 15 sec, 20 sec, 18 sec, and 21 sec.

CONCEPT:

LCM: denotes the least common factor or multiple of any two or more given integers.

CALCULATION:

LCM (5, 10, 15, 20, 18, 21) = 2 × 2 × 3 × 3 × 5 × 7 = 1260

1.5 hours = 1.5 × 3600 = 5400 sec

So,

Rings together = 5400/1260 = 4.28 ≈ 4

The bell will ring together at starting, hence total times = 4 + 1 = 5

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