A man engaged a servant on the condition that he would pay him 90 and a turban after service of one year. He served only for nine months and received the turban and an amount of 65. The price of turban is 

If 3 + cos²θ= 3(cot²θ + Sin²θ), 0°<θ<90°, then what is the value of (cosθ +2sinθ)?

If the compound interest on a certain sum for 2 years at 4% p.a. is Rs. 102, the simple interest at the same rate of interest for two years would be:

8 men working for 9 hours a day complete a piece of work in 20 days. In how many days can 7 men working for 10 hours a day complete the same piece of work?

How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?

The average monthly income of x and y is 5050. The average monthly income of y and z is 6250 and the average monthly income of x and z is 5200. The monthly income of x is?

ABCD is square and CDE is an equilateral triangle outside the square . What is the value ( in degrees ) of ∠BEC ? 

The exterior angle of a regular polygon is one-third of its interior angle, the number of sides of the polygon is -