Pipe A can fill 50% of the tank in 6 hours and pipe B can completely fill the same tank in 18 hours. If both the pipes are opened at the same time, in how much time (in minutes) will the empty tank be completely filled?

A 9-digit number 846523X7Y is divisible by 9, and Y - X = 6. Find the value of $\rm\sqrt{2X+4Y}$.

ΔABC is a right triangle. If ∠B = 90° and tan A = $\frac{1}{\sqrt2}$, then the value of sin A cos C + cos A sin C is :

A policeman spots a thief at a distance of 360 m. Both the policeman and the thief simultaneously start running, with the former chasing the latter. While the thief runs at the speed of 8 km/h, the policeman runs at 9.2 km/h. How many metres will the policeman have to run before he catches up with the thief?