Question

Four bells ring at interval of $4,6,8and14$ seconds. They start ringing simultaneously at $\text{12.00 o ' clock}$. At what time will they again ring simultaneously ?

• A. $\text{12 hrs 2 min 48 sec}$
• B. $\text{12 hrs 3 min}$
• C. $\text{12 hrs 3 min 20 sec}$
• D. $\text{12 hrs 3 min 44 sec}$

Answer 1

The correct option is A $\text{12 hrs 2 min 48 sec}$

LCM of $\text{4, 6, 8, 14 = 168}\text{seconds}$
$=\text{2 min 48 sec}$
They ring again at $12+2\text{min. 48 sec}$
$=\text{12 hrs 2 min 48 sec}$