Find the value of ∠x in the given figure.

x = y = 333 and z = 334, then value of x³ + y³ + z³ – 3xyz is 

A trader sells his goods at a discount of 20 %. He still makes a profit of 25 %. If he sells the goods at the marked price only. His profit will be 

Dilip, Ram and Amar started a shop by investing Rs.2700, Rs.8100 and Rs.7200 respectively. At the end of 1 year, the profit was distributed. If Ram's share was Rs.3600, their total profit was

If a boat goes upstream at a speed of 24 km/hr and comes back the same distance at 40 km/hr. What is the average speed (in km/hr) for the total journey?

A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do the work in

Pipes A and B can fill a tank in 43.2 minutes and 108 minutes, respectively. Pipe C can empty it at 3 litres/minute. When all the three pipes are opened together, they fill the tank in 54 minutes. The capacity (in litres) of the tank is:

If x⁴+2x³+ax²+bx+9 is a perfect square where a and b are positive real numbers, then the value of a and b