Vikram and Vivek can finish a work in 50 days. They worked together for 20 days and then left. How much work has been done by them?

P and Q can do a work individually in 15 days and 20 days respectively. Find the respective ratio of their efficiencies.

A can do $\frac{1}{5}$ th of a work in 4 days and B can do $\frac{1}{6}$ th of the same work in 5 days. In how many days they can finish the work, if they work together?

A tank can be filled by two taps X and Y in 5 hrs and 10 hrs respectively while another tap Z empties the tank in 20 hrs. In how many hours can the tank be filled, if all 3 taps are kept open?

The perimeter of a square, the perimeter of an equilateral triangle and the circumference of a circle are equal to 132 cm. Which shape covered maximum area?

The lengths of one side of a rhombus and one of the two diagonals are 6 cm each. Find the area of the rhombus (in $cm^2$ ).

A paper cone of height 8 cm and base diameter of 12 cm is opened to form a sheet of paper. If a rectangle of dimensions 13 cm × 11 cm is cut from this paper sheet, find the area of the remaining sheet of paper. Use π = 3.14.

The area of a rhombus is $24 m^2$ and the length of one of its diagonals is 8 m. The length of each side of the rhombus will be:

In ΔABC, right angled at B, BC = 15 cm and AB = 8 cm. A circle is inscribed in ΔABC. The radius of the circle is:

The sum of the lengths of the edges of a cube is equal to half the perimeter of a square. If the numerical value of the volume of the cube is equal to one-sixth of the numerical value of the area of the square, then the length of one side of the square is:

The lengths of two adjacent sides of a parallelogram are 5 cm and 3.5 cm respectively. One of its diagonals is 6.5 cm long, the area of the parallelogram is

The weight of 8 students in kgs are 54, 49, 51, 58, 61, 52, 54, 60. Find the median weight.

What is the median of 4, 2, 7, 3, 10, 9, 13?

Find the median of the first 5 whole numbers.

Find the median for the data 8, 5, 7, 10, 15, 21.

The runs scored by 11 players in the cricket match are as follows: 7, 16, 121, 51, 101, 81, 1, 16, 9, 11, 16 Find the median of the data.

Find the value of y from the following observations if these are already arranged in ascending order. The Median is 63.

Find the median of the numbers 8, 2, 6, 5, 4 and 3

Calculate the median of the numbers 16,18,13,14,15,12

The table below shows that employees in an office , sorted according to their age. Find the median:

Age	Number of workers
25 - 30	4
30 - 35	7
35 - 40	8
40 - 45	10
45 - 50	9
50 -55	8
Total	46

The height(in cm) of 9 students are as follows 155, 160 , 145, 149, 150, 147, 152, 144, 148 find the median of this data:

If the arithmetic mean of the observations 30, 40, 50, x, 70 and 80 is 55 . Calculate the value of x:

The arithmetic mean of 4 items is 5 and arithmetic mean of 5 items is 10 . The combined arithmetic mean is

which of the following is the merits of arithmetic mean

It has a rigid definition
AM is highly affected by extreme values
AM is based upon all the observations
It is least affected by fluctuations of sampling

The table classifies 40 persons who took a test according to the marks they scored: Calculate the mean marks scored.

Marks	Persons
0 - 10	4
10 - 20	6
20 - 30	16
30 - 40	8
40 - 50	6

The table shows the number of workers of different categories in an office , grouped according to their daily wages. What is the mean daily wages?

Daily wages(Rs)	Number of workers
675	8
730	4
755	4
780	3
840	1

The arithmetic mean of 10 items is 4 and arithmetic mean of 5 items is 10 . The combined arithmetic mean is:

If the arithmetic mean of the observations 30, 40, 50, x, and 70 is 50 . Calculate the value of x:

Which of the following is a mathematical average?

Base and height of the triangle is 25 cm and 30 cm respectively. What is the 2/3rd area of the triangle?

Area of triangle cannot be measured in the unit of:

The ratio of the area (in $cm^2$ ) to circumference (in cm) of a circle is 35 : 4. Find the circumference of the circle?

A circle is drawn outside the square in such a way that it passes through the vertices of square then find the circumference of circle if the side of square is 14 cm?

Calculate the length of the diagonal of a square if the area of the square is $50 cm^2.$

Find the area of square whose diagonal is 21√2 cm.

If the perimeter of a square and an equilateral triangle are equal, then find which of the following option is correct?

Calculate the length of the diagonal of a square if the area of the square is $32 cm^2$ .

The order of rotational symmetry of rectangle is.

If A, B and C are three points on a circle, where BC is the diameter and AC = AB = 5√2 cm. Find the radius of the circle.

If the ratio of the angles of a triangle is 2 : 4 : 3, then what is the sum of the smallest angle of the triangle and the largest angle of the triangle?

If the perimeter of a triangle is 28 cm and its inradius is 3.5 cm, what is its area?

Find the area of a square inscribed in a circle of radius 8 cm.

The diagonal of a rhombus is 25% less than the other diagonal. The area of the rhombus is 24 cm². What is the length of the side of the rhombus?

The radius ‘r’ and volume of a cone and a sphere are equal. Find the height of the cone.

ABCD is a rectangle, where AB = 4 cm and AD = 2 cm. Two arcs are drawn of radius AD and BC respectively. What is the area of the shaded region?

A wheel covers a distance of 22 km. The radius of the wheel is $\frac{7}{4}$ meter. Find the number of revolutions taken by the wheel.

From a rectangular cardboard of $30\times{20} cm$ squares of $5\times{5} cm$ are cut from all four corners and the edges are folded to form a cuboid open at top. Find the volume of the cuboid.

The two sides holding the right-angle in a right-angled triangle are 3 cm and 4 cm long. The area of its circumcircle will be:

A garden is in the shape of rectangle having width of 20 feet and length of 30 feet. If in the center of garden, circular plot of diameter 14 feet need to be made and other area need to be covered by plant, then find the cost of planting per ft2 if it is Rs. 20 per $ft^2$ .

The radius of a circular wheel is $1\frac{3}{4}m$ . How many revolutions will it make in travelling 11 km. (π= $\frac{22}{7})$

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