The curved surface area of a cylindrical pillar is 264 m² and its volume is 924 m³. Find the ratio of its diameter to its height.

If tanx = cot(50+3x), then what is the value of x ?

A sector area of 4%   is removed from a circular sheet of paper of diameter 50 cm, If the remaining part is used to make a conical surface , then the ratio of radius and height of the-

A vessel contains some mixture of Water and Alcohol in the ratio 2 ∶ 1. 12 liters of mixture is removed and replaced with water and the final ratio becomes 4: 1. What is the amount of Alcohol in the initial Mixture?

If the purchase price of an article is equal to 80 percent of its selling price then there will be profit.

The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago. If its present value is Rs.53071.20, the purchase price of the machine was:

Time taken to travel a certain distance of ‘x’ km at speed of 40 km/h is 2 hours more than the time taken to travel (x+20) km at speed of 60km/h. Find the time taken to travel (x+40) km at the speed of 40 km/h?

'G' is centroid of ΔABC if AG = BC then find ∠BGC.