AE-JE Foundation || Quantitative Aptitude || Mensuration & Geometry.

If the internal angle of a regular polygon is  times than that of a regular hexagon, then find the number of sides of the polygon.

If the radius of a right circular cylinder is decreased by 20% while its height is increased by 40%, then the percentage change in its volume will be:

The areas of three adjacent faces of a cuboidal tank are 3 m², 12 m² and 16 m². The capacity of the tank, in litres, is:

A sphere of radius 6 cm is melted and recast into spheres of radius 2 cm each. How many such spheres can be made?

In a triangle ABC, DE is parallel to BC; AD = a, DB = a +4, AE = 2a + 3, EC = 7a. What is the value of ‘a’ if a>0 ?

600 coins of the same radius and height of 4 cm and 1 cm respectively. Six of them are placed in such a way that one coin touches other two coins in such a way that it forms a regular hexagon. Rest of the coins are stacked on these 6 coins having uniform height. Find the volume of the enclosed region?

Anuj observed that he required 45 seconds less to cross a circular ground along its diameter than to complete one round along its boundary. If his speed was 40 m/min, what is the radius of the circular ground? (take π = 22/7)

A solid hemisphere of a radius of 12 cm is melted to form a cylinder. If the curved surface area of the cylinder is 288π, then what is the height of the cylinder ()?