Question : Five bells commence tolling together and toll at intervals of 5, 10, 15, 20, and 25 seconds respectively. In 1 hour 20 minutes, how many times do they toll together?
Option 1: 20
Option 2: 15
Option 3: 14
Option 4: 17
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Correct Answer: 17
Solution : Time after which the 5 bells will toll together = LCM of 5, 10, 15, 20, and 25 = 5 × 5 × 3 × 2 × 2 = 300 seconds = 5 minutes Total time = 1 hour 20 minutes = 60 + 20 = 80 minutes Number of times the bells toll together = $\frac{80}{5}$ + 1 = 16 + 1 = 17 Hence, the correct answer is 17.
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