Explore topic-wise MCQs in Maths.

The total surface area of a solid right circular cylinder is twice that of a solid sphere. If they have the same radii, the ratio of the volume of the cylinder to that of the sphere is given by

A hemispherical cup of radius 4 cm is filled to the brim with coffee. The coffee is then poured into a vertical cone of radius 8 cm and height 16 cm. The percentage of the volume of the cone that remains empty is:

A rectangular plot is 32m by 24m. The owner of that plot wants to divide the plot into equal parts and for that purpose he builds a fence of wire on one diagonal. If wire costs Rs. 15.50 per metre, how much amount will be spent on fencing?

The total surface area of a hemisphere is 166.23 sq cm, find its radius?

At each corner of a triangular field of sides 26m, 28m, and 30m, a cow is tethered by a rope of length 7m. the area unglazed by the cow?

A tank is 25m long 12m wide and 6m deep. The cost of plastering its walls and bottom at 225 paise per sq m is

The length, breadth and height of a room are in the ratio 3 : 2 : 1 if the volume of the room is 1296 metre3. Then find the breadth of the room?

A rectangular piece of paper of dimensions 22 cm by 12 cm is rolled along its length to form a cylinder. The volume (in cm³) of the cylinder so formed is

A rectangular sheet of metal is 40 cm by 15 cm. Equal squares of side 4 cm. are cut off at the corners and the remainder is folded up to form an open rectangular box. The volume of the box is-

In a triangle, lengths of all the three medians are 9 cm, 12 cm. and 15 cm respectively. Then what will be the area of the triangle?

If the perimeter of a rectangle is 180 m and the difference between the Length and breadth is 8 m, what is the area of the rectangle?

The area of a circle, is 3850 sq.m. What will be its circumference?

The base of an isosceles triangle is 6 cm and its perimeter is 16 cm. Its area is

The ratio of the outer and the inner perimeter of a circular path is 23 : 22, If the path is 5 meters wide the diameter of the inner circle is :

A circular wire of radius 42 cm is bent in the form of a rectangle whose sides are in the ratio of 6 : 5 . The smaller side of the rectangle is
( Take $$ = 22 over 7$$ ) :

Cost of fencing a circular plot at the rate of Rs.15 per m is Rs.3300. what will be the cost of flooring the plot at the rate of Rs.100 per square metre?

The cost of levelling a ground in rectangular shape for a proposed garden at 80 paise per square meter is Rs.132 and the cost of fencing the same along its perimeter is Rs.78 at Rs.1.50 per meter. If the garden is extended in rectangular shape with its sides as cubes of the originally proposed garden, what will be the perimeter of the garden after extension?

A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. If the radius of the hemisphere is 4.2 cm. and the total height of the toy is 10.2 cm., find the volume of the wooden toy (nearly).

The length, width and height of a rectangular tank are 7 meters, 6 meters and 5 meters respectively, what will be the volume (cubic metre) of this tank?

The length, width and height of a room are 10 meters, 8 meters and 6 meters respectively. What will be the largest bamboo length that can be kept in this room?

The perimeter of the five squares is 24 cm, 32 cm, 40 cm, 76 cm, and 80 cm, respectively. What will be the perimeter of a square whose area is equal to the sum of the area of these squares?

Find the inner surface area of all walls of a rectangular room with length 7 m breadth 5 m and height 3.5 m -

From each of the four corners of a rectangular sheet of dimensions 30 cm 25 cm, a square of side 2 cm is cut off and a box is made. The volume of the box is

How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?

The length of the diagonal and the breadth of a rectangle is 13 cm and 5 cm respectively. Calculate its area (in cm ).

A solid copper sphere of radius 1.2 cm is converted into a right circular cylinder rod of length 16 cm. The ratio of total surface area of the rod to the sphere is

One of the four angles of a rhombus is 60 . If the length of each side of the rhombus is 8 cm, then the length of the longer diagonal is

The perimeter of a rhombus is 100 cm, if one of its diagonals is 14 cm. Then the area of the rhombus is

The length of one side of a rhombus is 6.5 cm and its altitude is 10 cm. If the length of its diagonal be 26 cm, the length of the other diagonal will be :

The area of a rhombus is 216 cm² and the length of its one diagonal is 24 cm . The perimeter ( in cm ) of the rhombus is

ABCD is parallelogram. P and Q are the mid points of sides BC and CD respectively. If the area of ABC is 12 cm² then the area of APQ is

The measure of each of two opposite angles of a rhombus is 60 and the measure of one of its sides is 10 cm. The length of its smaller diagonal is:

The perimeter of a square and a circular field are same. If the area of circular field is 3850 sq meter. What is the area in meter of the square?

If Diagonal of rectangle is 41 cm and one side of Rectangle is 9 cm Then find out Ratio of perimeter and area of Rectangle?

In measuring the sides of a rectangle, there is an excess of 5% on one side and 2% deficit on the other. Then the error percent in the area is?

A street of width 10 metres surrounds from outside a rectangular garden whose measurement is 200 m 180 m. The area of the path (in square metres) is?

If the length of the diagonal AC of a square ABCD is 5.2 cm, then the area of the square is?

The largest and the second largest angle of a triangle are in the ratio of 13:12 respectively. The smallest angle is 20% of the sum of the largest and the second largest angles. What is the sum of the smallest and the second largest angles?

The total area of a circle and a square is equal to 2611 sq.cm. The diameter of the circle is 42 cms. What is the sum of the circumference of the circle and the perimeter of the square?

The base of a right prism is an equilateral triangle. If its height is one-fourth and each side of the base is tripled, then the ratio of the volumes of the old to the new prism is /

A square has a perimeter equal to 24 units. If the length of each side of the square is reduced by 2 units, then find the area( in sq units) of the square.

The area of two equilateral triangles are in the ratio 25 : 36 . Their altitudes will be in the ratio:

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

A man crosses a diagonal of square in two minutes at the speed of 6 km./hr. Find the area of the square-

Base of the right prism is an equilateral triangle. If its height reduced to one-fourth and each side of the base is tripled, then the ratio of the volumes of the old prism to the new prism is-

If a regular polygon has 5 sides then the measure of its interior angle is greater than the measure of its exterior angle by how many degrees?

In a regular polygon, the exterior and interior angles are in the ratio 1 : 4. The number of sides of the polygon is

A pipe of diameter d can drain a certain water tank in 40 minutes. The time taken by a pipe of diameter 2d for doing the same job in:

If the length and breadth of a rectangle are increased by 8 % and 12 % respectively, then by what percent does the area of that rectangle increase?

A school play ground is 120 m long and 80 m wide, there is 2 m wide path parallel to its width and and Parallel to its length. The area of remaining ground.