The ratio of the area of a square to that of the square drawn on its diagonal is

If the arcs of square length in two circles subtend angles of 60° and 75° at their centres, the ratio of their radii is 

In a triangle ABC, D is a point on BC such that $${AB\over AC}={BD\over DC}.$$ If ∠B = 68° and ∠c = 52°, then measure of ∠BAD is equal to:

A circular grass field of diameter 42 m is surrounded by a path of width 3.5 m. What will be the cost of graveling the path at the rate ₹ 4 square meter?

A solid metallic sphere of radius 12 cm is melted and recast into a cone having diameter of the base as 12 cm. What is the height of the cone?

If a store room of a house is in the shape of a cuboid having a length of 3 m, a width of 2 m, and a height of 4m, find the total area of its four walls.

The sides of a triangle are in the ratio 3 : 4 : 5. The measure of the largest angle of the triangle is

The diameters of two cylinders are in the ratio 3:2 and their volumes are equal. The ratio of their heights is