Pipe P can fill \( \frac{4}{5} \) part of a tank in 12 hours and pipe Q can fill \( \frac{2}{7} \) part of the same tank in 30 hours.
Both P and Q were kept open for 5 hours, then both were closed. Pipe R alone was then opened and it emptied the water in the tank in 8 hours.
Pipes P, Q and R together can fill the empty tank in:
The value of \( \frac{5}{3} \) + \(\left(\frac{1}{1+\frac{4}{9}}\right)\) − \( \frac{2}{5} \) is
\(\frac{384}{191}\)
\(\frac{382}{195}\)
\(\frac{379}{201}\)
\(\frac{380}{197}\)
The value of \(\sqrt{121}\) + \(\sqrt{0.0225}\) − \(\sqrt{5.76}\) =
Simplify: \(\frac{\tan^2\beta\,\mathrm{cosec}^2\beta}{1+\tan^2\beta}\)