Question : six bells commence tolling together at 7:59 am. They toll at intervals of 3, 6, 9,12, and 15 seconds respectively. How many times will they toll together till 8:16 am? (excluding the toll at 7:59 am)
Option 1: 5
Option 2: 6
Option 3: 3
Option 4: 4
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Correct Answer: 5
Solution : Six bells tolling at 7:59 am Time duration = 8:16 am - 7:59 am = 17 minutes All five bells toll together after the interval = Least Common Multiple of 3, 6, 9, 12, and 15 = 180 sec = 3 minutes Now, ⇒ Number of tolls = $\frac{\text{Total Time Duration}}{\text{Time interval of tolling together}}$ = $\frac{17}{3}$ = 5.66 (5 times) Hence, the correct answer is 5.
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