Given that,
- $\text{P}$ is rung every $20$ minutes
- $\text{Q}$ is rung every $30$ minutes
- $\text{R}$ is rung every $50$ minutes
Now, ${\color{Green}{\text{LCM(50, 30, 50) = 300 minutes = 5 hours}}.}$
If all the three bells are rung at $12: 00\;\text{PM}$, when will after that all the three bells ring together again the next time $ = 12:00\;\text{PM} + 5\;\text{hours} = 5:00\;\text{PM}.$
Correct Answer $:\text{A}$