A kite is flying in the sky. The length of string between a point on the ground and kite is 420 m. The angle of elevation of string with the ground is 30^o. Assuming that there is no slack in the string, then what is the height (in metres) of the kite?

The angle of elevation of an aeroplane from a point on the ground is 60°. After flying for 15 second, the angle of elevation changes to 30°. If the Aeroplane is flying at a height of 4500 meter, then what is the speed (in m/s) of aeroplane?

The ratio of curved surface area and volume of a cylinder is 1 : 7. The ratio of total surface area and volume is 187 : 770. What is the respective ratio of its base radius and height?

There are 500 students in a school out of which 60% are boys. 40% of the boys play hockey and girls don’t play hockey. 75% of the girls play badminton. If there are only two games to be played, number of students who don’t play any game.

In an election 20% of the voters did not vote and 120 votes were invalid. Winner got 200 votes more than this opponent and secured 41% votes of the total number of votes. What percentage of the votes defeated candidate got out of the total votes cast?

In the given figure, PQR is an equilateral triangle with side as 12 cm. S and T are the midpoints of the sides PQ and PR respectively. What is the area (in cm²) of the shaded region?

Rahul plans to buy a scooter for his sister for which he saves Rs. 15625 at the start of every year for 3 year. If the rate of CI is 4% pa. then amount at which he plans to buy the scooter is (in Rs.)

In the given figure , ABCD is a square of side 6 cm. What is the value (in cm) of radius of circle?