The ratio between the three angles of a quadrilateral is 1 : 6 : 2 respectively. The value of the fourth angle of the quadrilateral is 45^∘. What is the difference between the value of the largest and the smallest angles of the quadrilateral?

A spiral is made up of 13 successive semi-circles with centre at X and Y, starting with centre at X. The radii of semi-circles thus developed are 0.5 cm, 1.0 cm, 1.5 cm and 2.0 cm and so on. The total length in the spiral is

 The length and breadth of a rectangular plot are in the ratio of 9 : 7. If the cost of fencing the plot at the rate of 27.75 per metre is 3,552/­, what is the area of the plot ? (in sq m)

A wheel males 19 revolutions to cover a distance of 4598 m.what is the diameter of the wheel>(In m)

The perimeter of a rectangular field is 120 m and the difference between its two adjacent sides is 40 m. The sides of the square field whose area is equal to this rectangular field is?

A hemispherical vessel of internal diameter 162 cm contains milk. The milk is to be filled in cylindrical flasks of radius 9 cm and height 27 cm. How many flasks are required to empty the vessel?

A sphere of 30 cm radius is dropped into a cylindrical vessel of 80 cm diameter, which is partly filled wikth water, then its level rises by x cm. Find x:

Ratio between height of 2 cylinder is in the ratio 3:5. Their volumes are in the ratio 27:80. Find ratio between their radius.

BH is perpendicular to AC. Find x the length of BC.

If the sum of circumference of a circle and the circumference of a semicircle of same radius (R) is 400cm. Then find the radius of another circle whose radius is 200% more than R?

A slice from a circular pizza of diameter 14 inches is cut in a such a way that each slice of pizza has a central angle of 45°. What is the area of each slice of Pizza(in square inches)?

The cost of fencing a circular plot at the rate of Rs.15 per meters is Rs.3300. What will be the cost of flooring the plot at the rate of Rs.100 per sq m?

The length of a rectangle is three-fifths of the side of a square .the radius of a circle is equal to side of the square.the circumference of the circle is 132 cm.what is the area of the rectangle if the breadth of he rectangle is 8cm?

The area of a square is 1444 square metres. The breadth of a rectangle is 1/4th the side of the square and the length of the rectangle is thrice the breadth. What is the difference between the area of the square and the area of the rectangle?

Perimeter of a rectangle is x and circumference of a circle is 8 more than the perimeter of the rectangle. Ratio of radius of circle and length of the rectangle is 1:2 and ratio of length and breadth of rectangle is 7:3. Find the length of the rectangle ?

The smallest side of a right angled triangle is 8cm less than the side of a square of perimeter 56cm.the second largest side of the right-angled triangle is 4cm less than the length of the rectangle of area 96 sq cm and breadth 8cm.what is the largest side of the right angled triangle?

The ratio of the adjacent angles of a parallelogram is 7:8.also,the ratio of the angles of quadrilateral is 5:6:7:12.what is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral?

A wheel makes 19nrevolutions to cover a distance of 4598 m. What is the diameter of the wheel? (In ml)

The ratio of the radii of two circles id 2:5. What is the ratio of their circumferences?

The ratio between the three angles of a quadrilateral is 1 : 4 : 5 respectively. The value of the fourth angle of the quadrilateral is 60⁰. What is the difference between the value of the largest and the smallest angles of the quadrilateral?

If 10, 12 and ‘x’ are sides of an acute angled triangle, how many integer values of ‘x’ are possible?

A rectangular grassy plot is 112 m by 78 m. It has a gravel path 2.5 m wide all round it on the inside. Find the area of the path and the cost of constructing it at Rs. 2 per square metre?

Area of a rectangular field is 3584 and the length and the breadth are in the ratio 7 : 2 respectively. What is the perimeter of the rectangle?

A circle and a rectangle have the same perimeter. The sides of the rectangle are 14 cm and 30 cm. What is the area of the circle?

A copper wire is bent in the form of an equilateral triangle and has area 121 3cm2 . If the same wire is bent into the form of a circle. The area (in cm2) enclosed by the wire is (take π = 22/7 )

A hemispherical bowl of internal diameter 54 cm contains a liquid. The liquid is to be filled in cylindrical bottles of radius 3 cm and height 9 cm. How many bottles are required to empty the bowl?

The volumes of a right circular cylinder and a sphere are equal. Their radii are also equal . If h is the height of the cylinder and d is the diameter of the sphere, then find the correct relation from the given options

The smallest side of right-angled triangle is 8cm less than the side of a square of perimeter 56cm. The second largest side of the right angled triangle is 4cm less than the length of the rectangle of area 96 sq cm and breadth 8cm. What is the largest side of the right angled triangle?

One of the angles of a triangle is two-thirds of the sum of the adjacent angles of parallelogram. Remaining angles of the triangle are in the ratio 5:7. What is the value of second largest angle of the triangle?

What would be the area of a rectangle whose area is equal to the area of a circle of radius 7 cm?

If the sum of the interior angles of a regular polygon measures upto 1440 degrees, how many sides does the polygon have?

The ratio between the angles of a quadrilateral is 7:2:5:6 respectively. What is the sum of double the smallest angle and half the largest angle to the quadrilateral?

The largest and the second largest angles of a triangle are in the ratio of 3:2 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 5450 sq. cm. The diameter of the circle is 70 cms. What is the sum of the circumference of the circle and the perimeter of the square?

The areas of a square and a rectangle are equal. The length of the rectangle is greater than the length of any side of the square by 5 cm. and breadth is less by 3 cm. The perimeter of the rectangle is

Find the area of right angled triangle whose base is 12 cm and hypotenuse 13 cm.

A sphere of 30 cm radius is dropped into a cylindrical vessel of 80 cmj diameter, which is partly filled wikth water, then its level rises by x cm. Find x:

In a rectangle the ratio of the length and breadth is 3:2. If each of the length and breadth is increased by 4m their ratio becomes 10:7. The area of the original rectangle in m² is?

The perimeter of a rectangle and a square is 160 cm each. If the difference between their areas is 500 cm. If the area of the rectangle is less than that of a Square then find the area of the rectangle?

Circumference of a circle A is 22/7 times perimeter of a square. Area of the square is 441 cm². What is the area of another circle B whose diameter is half the radius of the circle A(in cm²)?

The area of a rectangle is equal to the area of a square whose diagonal is 12√2 metre. The difference between the length and the breadth of the rectangle is 7 metre. What is the perimeter of rectangle ? (in metre).

The area of a rectangle gets reduced by 9 square units,if its length is reduced by 5 units and breadth is increased by 3 units. If we increase the length by 3 units and breadth by 2 units, then the area is increased by 67 square units. Find the area of the rectangle?

The length of a plot is four times its breath. A playground measuring 900 square meters occupies one fourth of the total area of a plot. What is the length of the plot in meter.?

The sum of the radius and height of a cylinder is 19m. The total surface area of the cylinder is 1672 m², what is the radius and height of the cylinder?(in m)

If each side pair of opposite sides of a square is increased by 20 m, the ratio of the length and breadth of the rectangular so formed becomes 5:3. The area of the old square is?

The length of a park is four times of its breadth. A playground whose area is 1024 m² covers 1/4th part of the park. The length of the park is?

The width of a rectangular piece of land is 1/4 th of its length. If the perimeter of the piece of land is 320m its length is?

A deer and a rabbit can complete a full round on a circular track in 9 minutes and 5 minutes respectively. P, Q, R and S are the four consecutive points on the circular track which are equidistant from each other. P is opposite to R and Q is opposite to S. After how many minutes will they meet together for the first time at the starting point, when both have started simultaneously from the same point in same direction?

A deer and a rabbit can complete a full round on a circular track in 9 minutes and 5 minutes respectively. P, Q, R and S are the four consecutive points on the circular track which are equidistant from each other. P is opposite to R and Q is opposite to S. After how many minutes will they meet together for the first time, when both have started simultaneously from the same point in same direction(in min)?

A cylindrical cistern whose diameter is 14 cm is partly filled with water. If a rectangular block of iron 22 cm in length, 14 cm in breadth and 7 cm in thickness is wholly immersed in water, by how many centi metre will the water level rise?

A well with 28 m inside diameter is dug out 18 m deep. The earth taken out of it has been evenly spread all around it to a width of 21 m to form an embarkment. Find the height of the embarkment.

The ratio between the sides of a room is 3:2. The cost of white washing the ceiling of the room at 5 Rs per square metre is Rs. 2500 and the cost of papering the walls at Rs. 2 per square metre is Rs. 960.  The height of the room is? 

A park is in the form of a square one of whose sides is 50 m. The area of the park excluding the circular lawn in the centre of the park is 1884 m². The radius of the circular lawn is ?

The perimeter of a rectangle and a square is 160 cm each. If the difference between their areas is 600 cm. Find the area of the rectangle.

The length of a plot is four times its breath. A playground measuring 400 square meters occupies one fourth of the total area of a plot. What is the length of the plot in meter.?

If the radius of the cone is doubled, keeping the height constant, what is the ratio of the volume of the smaller cone to larger cone?

A room has floor size of 15*6sq cm. What is the height of the room , if the sum of the areas of the base and roof is equal to the sum of the areas of the four walls ?

What is the volume of a right cone whose cross section is isosceles triangle with a base 10cm and slant height 13cm ?

Smallest side of a right angled triangle is 6 cm less than the side of a square of perimeter 60 cm. Second largest side of the right angled triangle is 4 cm less than the length of rectangle of area 80 sq. cm and breadth 5 cm. What is the largest side of the right angled triangle?

Circumference of a circle-A is 5/4 times perimeter of a square. Area of the square is 961 sq. cm. What is the area of another circle-B whose diameter is half the radius of the circle-A?

A horse is tethered to a peg with a 16 cm long rope at the corner of a 31 cm long and 27cm wide rectangular grass field. What area of the field will the horse graze?

The biggest possible circle is inscribed in rectangle of length 10 m and breadth 7 m. Then the area of circle is?

In a swimming pool measuring 80 cm x 30 cm, 120 men take a dip. If the average displacement of water by a man is 5 cm cube, What will be the rise in water level  ?

A cylindrical tank of diameter 14 cm is full of water. If 9 litres of water is drawn off, the water level in the tank will drop by

A circular wire of diameter 42cm is folded in the shape of a rectangle whose sides are in the ratio 6:5. Find the ratio of the enclosed rectangle ?

A cylindrical tub of radius 10 cm contains water up to a depth of 25cm. A spherical iron ball is dropped into the tub and thus the level of water is raised by 5cm. What is the radius of the iron ball(approximate) ?

The radii of two cylinders are in the ratio 4:5 and their heights are in the ratio 5:7, What is the ratio of their curved surface areas?

A circular wire of radius 56 cm is cut and bent in the form of a rectangle whose sides are in the ratio of 6:5. The smaller side of the rectangle is 

The circumference of a circle is twice the perimeter of a rectangle. The area of the circle is 5544sq cm. What is the area of the rectangle if the length of the rectangle is 30cm ?

The ratio between the perimeter and the breadth of a rectangle is 5:1. If the area of the rectangle is 294 square cm, what is the length of the rectangle?

A rectangular sheet of metal is 40cm by 15cm. Equal squares of side 5cm are cut off at the corners and the remainder is folded up to form an open rectangular box. The volume of the box is

10 cylindrical pillars of a building have to be painted. The diameter of each pillar is 70 cm and the height is 4m. What is the cost of painting at the rate of Rs. 10 per square metre?

The length of a rectangular plot is 10 metres more than its breadth. If the cost of fencing the plot @ 26.50 per metre is Rs. 5300, what is the length of the plot in metres?

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

A rectangular field is to be fenced on three sides leaving a side of 30 feet uncovered. If the area of the field is 720 sq. feet, how many feet of fencing will be required?

The perimeter of a rectangular field is 120 m and the difference between its two adjacent sides is 40 m. The sides of the square field whose area is equal to this rectangular field is?

If the area of a square is equal to the area of that rectangle whose width is double of the one side of the square then the ratio of the length to the breadth of the rectangle will be?

In a rectangle the ratio of the length and breadth is 3:2. If each of the length and breadth is increased by 3m their ratio becomes 10:7. The area of the original rectangle in m² is?

The perimeter of a rectangular field is 120 m and the difference between its two adjacent sides is 30 m. The sides of the square field whose area is equal to this rectangular field is?

If each side pair of opposite sides of a square is increased by 10m, the ratio of the length and breadth of the rectangular so formed becomes 5:3. The area of the old square is?

The area of the garden formed by two concentric circles with circumferences 44m and 176 m respectively is?

One of the adjacent sides of a rectangular courtyard is 5m and its diagonal measures 13 m long. What is the area of the courtyard?

The length of a park is four times of its breadth. A playground whose area is 1600 m² covers 1/4th part of the park. The length of the park is?

Two roads each 10m wide has been made running perpendicularly to each other inside a rectangular field of dimension 90m X 50m. What is the cost of spreading pebbles over them at the rate of Rs.8 per m².?

The width of a rectangular piece of land is 1/3 rd of its length. If the perimeter of the piece of land is 320m its length is?

The perimeter of a square and a rectangle are equal. If the length of rectangle is 24m and breadth of the rectangle is 1/3 rd of its length, then the area of the square will be?

A slice from a circular pizza of diameter 14 inches is cut in a such a way that each slice of pizza has a central angle of 45°. What is the area of each slice of Pizza(in square inches)?

A rectangular courtyard 3.78 m long and 5.25 m broad is to be paved exactly with square tiles, all of the same size. What will be the minimum number of such tiles is?

Circumference of a circle A is 22/7 times perimeter of a square. Area of the square is 784 cm². What is the area of another circle B whose diameter is half the radius of the circle A(in cm²)?

The area of a rectangle is equal to the area of a square whose diagonal is 12√6 metre. The difference between the length and the breadth of the rectangle is 6 metre. What is the perimeter of rectangle ? (in metre).

The area of a rectangle gets reduced by 9 square units,if its length is reduced by 5 units and breadth is increased by 3 units.If we increase the length by 3 units and breadth by 2 units, then the area is increased by 67 square units. Find the length and breadth of the rectangle.

Height of a cylindrical jar is decreased by 36%. By what percent must the radius be increased, so that there is no change in its volume?

The sum of the radius and height of a cylinder is 19m. The total surface area of the cylinder is 1672 m², what is the volume of the cylinder?(in m³)

The respective ratio of curved surface area and total surface area of a cylinder is 4:5. If the curved surface area of the cylinder is 1232cm², What is the height?

The perimeter of a square is equal to twice the perimeter of a rectangle of length 8 cm and breadth 7 cm. What is the circumference of a semicircle whose diameter is equal to the side of the square ?

Perimeter of a square and an equilateral triangle is equal. If the diagonal of the square is 10√2 cm, then find the area of equilateral triangle?

Length of a rectangular field is increased by 10 meters and breadth is decreased by 4 meters, area of the field remains unchanged. If the length decreased by 5 meters and breadth is increased by 7 meters, again the area remains unchanged. Find the length and breadth of the rectangular field.

If the length of the rectangle is increased by 20%, by what percent should the width be reduced to maintain the same area?

A cone whose height is half of its radius is melted to from a hemi-sphere. Find the ratio of the radius of the hemi-sphere to that of cone.

Find the number of spherical balls of radius 1 cm that can be made from a cylinder of height 8 cm and diameter 14 cm?

A rectangle whose sides are in the ratio 6:5 is formed by bending a circular wire of radius 21cm. Find the difference between the length and breadth of the rectangle?

A right circular cone is exactly fitted inside a cube in such a way that the edges of the base of the cone are touching the edges of one face of the cube and the vertex is on the opposite face of the cube. If the volume of the cube is 512 cubic cm. find the approximate volume of the cone?

if the radius of a cylinder is doubled and height is halved, what is the ratio between the new volume and the previous volume?

A cone of radius 12 cm and height 5 cm is mounted on a cylinder of radius 12 cm and height 19 cm. Find the total surface area of the figure thus formed?

A rectangular garden is 30 meter long and 20 meter broad. It has 6 meter wide pavements all around it both on its inside and outside. Find the total area of pavements?

A rectangular box has dimensions 1.6 m × 1 m × 0.6 m. How many cubical boxes each of side 20 cm can be fit inside the rectangular box? 

What is the volume of a cylinder whose curved surface area is 704 cm² and height is 14 cm? 

If the volume of wire remains the same but its radius decreases to 1/3rd of previous, then the new length of the wire will be how many times of the previous length?

A cone with diameter of its base as 12 cm is formed by melting a spherical ball of diameter 6 cm. What is the height of the cone? 

The total cost of painting the walls of a room is Rs 475. Find the cost of painting the walls of another room whose length, breadth and height each are double than the dimensions of the previous room. 

A circular wire of diameter 84 cm is bent into a rectangle with sides ratio 6 : 5. What are the respective sides of the rectangle? 

The ratio of the outer and the inner perimeters of a circular path is 9 : 8. The path is 3 metres wide. What is the diameter of the outer circle? 

A solid sphere of radius 20 cm is melted to form 12 spherical balls. Find the radius of each of the ball. 

The perimeter of a rectangular plot is 210 m. Find the cost of gardening 2 m broad boundary around rectangular plot whose perimeter The cost of gardening is Rs 14 per m². 

Four circular cardboard pieces, each of diameter 28 cm are placed in such a way that each piece touches two other pieces. Find the area of the space enclosed by the four pieces.