The centroid of an equilateral triangle ABC is G. If AB is 6 cms, the length of AG is

The radius and the height of a cone are each increased by 20%. Then the volume of the cone increases by:

The area of the largest sphere (in cm²) that can be drawn inside a square of side 18 cm is

Area of the circle inscribed in a square of diagonal 6√2 cm (in sq cm) is

The diagonals of two squares are in the ratio 5:2. The ratio of their area is

A solid sphere of radius 9 cm is melted to form a sphere of radius 6 cm and a right circular cylinder of same radius. The height of the cylinder so formed is ?

The area of the circle with radius Y is W. The difference between the areas of the bigger circle (radius Y) and the smaller circle (radius X) is W'. So x/y is equal to:

A right circular conical structure stands on a circular base of 21 m diameter and is 14 m in height. The total cost of colour washing for its curved surface at ₹6 per sq. m is:
(Take π = 22/7)

Thousands of solid metallic spheres of diameter 6 cm are melted and recast into a new solid sphere. The diameter of the new sphere (in cm) is?

A solid cube is painted yellow, blue and black such that opposite faces are of same colour. The cube is then cut into 36 cubes of two different sizes such that 32 cubes are small and the other four cubes are Big. None of the faces of the bigger cubes is painted blue. How many cubes have only one face painted?

A and B are two heavy steel blocks. If B is placed on the top of A, the weight increases by 60%. How much weight will reduce with respect to the total weight of A and B, if B is removed from the top of A?

A gardener increased the area of his rectangular garden by increasing its length by 40% and decreasing its width by 20%. The area of the new garden

A village having a population of 4000 requires 150 liters of water per head per day. It has a tank measuring 20 m x 15 m x 6 m. The water of this tank will last for