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?

Which of the following will yield maximum discount on Rs. 7,500?

1. Two successive discounts of 5% and 5%

2. Single discount of 10%

3. Two successive discounts of 8% and 2%