Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-1

Water is flowing at the rate of 5 km/h through a pipe of diameter 14 cm into a rectangular tank which is 50 m long, 44 m wide. The time taken, in hours, for the rise in the level of water in the tank to be 7 cm is

A) 2

B) \[1\frac{1}{2}\]

C) 3

D) \[2\frac{1}{2}\]

Correct Answer: A

Solution :

[a] Water flowed by the pipe in \[1\,h=\pi {{r}^{2}}h\]

\[=\,\,\frac{22}{7}\times \frac{7\times 7}{100\times 100}\times 5000=77\,{{m}^{3}}\]

Volume of expected water in the tank

\[=\,\,\frac{50\times 44\times 7}{100}=154\,{{m}^{3}}\]

\[\therefore \] Required time \[=\,\,\frac{154}{77}=2\,h\]