MAH MBA CET Geometry Questions

The length of a rectangle is twice its breadth. If the length of the rectangle is increased by 20% and its breath is decreased by 40% then what will be the percentage change in the area of the rectangle?

If the height of a triangle is increased by 10% and base is decreased by 10%, then its area would be 198 sq-cm. What was the original area?

A rectangular plot has a perimeter of 68m. The ratio of the side and the diagonal is 5 : 13. Find the area of the plot (in sq. m).

A metallic sphere of radius 6 cm is melted down and re casted into three metallic spheres of equal radii. Find the radius of the spheres formed.

A circular area is carved out of the square sheet of side 10 cm as shown in the figure. What is the area of the sheet that remains after the circle has been carved out?

A rectangular swimming pool has a length of 12 m, a width of 6 m, and a depth of 2 m. The pool is to be painted (bottom floor and the four walls). If the cost of painting per square meter is Rs. 25, what would be the total cost incurred in painting the pool?

Find the internal angle of a polygon with 35 diagonals. 

What would be the area of a triangle formed by the medians of an equilateral triangle that has a side length of 12 cm?

The dimensions length, breadth and height of a wooden plank are in the ratio 4:5:7, and its surface area is 20086 square meters. Find the length of the plank.

If the height of a right circular cone is increased by 200% and the radius of the base is reduced by 50%, then volume of the cone shall :

If the Angle PQS is 35$$^{\circ}$$, determine the Angle QRS :

In a triangle ABC, AD is the bisector of angle A If AC = 4.2 cm , DC = 6 cm, BC =10 cm , then find AB ?

A copper wire having a length of 243 m and a diameter of 4 mm was melted to form a sphere. Find the diameter of the sphere thus formed. 

Let A and B be two solid spheres such that the surface area of B is 300% higher than the surface area of A. The volume of A is found to be k% lower than the volume of B. Determine the value of k.

In measuring the side of a square, an error of 5% in excess is made.
The error % in the calculated area is:

A rectangular field of dimension $$180m \times 105m$$ is to be paved by identical square tiles. Find the number of tiles required to cover the field fully leaving no area unpaved.

A well with 7 m inside diameter is dug 22.5 m deep and the earth taken out of it has been spread around it to a width of 10.5 m to form an embankment. Find the height of the embankment so formed .