Numerical Appli...

A booster pump can be used for filling as well as emptying a tank. The capacity of the tank is $$2400$$ $$\displaystyle m^{3}$$. The emptying capacity of the tank is 10$$\displaystyle m^{3}$$/min higher than its filling capacity and the pump needs 8 min lesser to empty the tank than it need to fill it. What is the filling capacity of the pump?

Pipes A and B can fill a tank in $$5$$ and $$6$$ hours respectively. Pipe C can empty it in $$12$$ hours. If all the three pipes are opened together then the tank will be filled in

$$A$$ takes twice as much time as $$B$$ or thrice as much time as $$C$$ to finish a piece of work. Working together, they can finish the work in $$2$$ days. $$B$$  can do the work alone in

How many times are the hands of a clocks coincide in a day?

If February 1, 1996 is a Thusrday, then what day is March 10, 1996 ?

On what dates of October, 1975 did Tuesday fall ?

Robert is travelling on his cycle and has calculated to reach point $$A$$ at $$2$$ $$p.m.$$ If he travels at $$10$$ $$kmph$$, he will reach there at $$12$$ noon, if he travels at $$15$$ $$kmph$$, at what speed must he travel to reach $$A$$ at $$1$$ $$p.m.$$

Find the day of the week on 26 January, 1950.

Find the day of the week on 18 July, 1776 (leap year). 

Find the day of the week on 16 January, 1969