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= $\frac{22}{7})$

If the circumference of a circle is 22 cm, find the area of the semicircle.

What is the length of diagonal, if area of a rectangle is 168 cm2 and breadth is 7 cm?

Given data consists of distinct values of xi occurring with frequencies fi. The mean value for the data is

xi 5 6 8 10

fi 8 10 10 12

The marks obtained by 8 students in a mathematics test are: 15, 20, 25, 25, 30, 35, 40, 50. Find median

The marks obtained by 8 students in a mathematics test are: 15, 20, 25, 25, 30, 35, 40, 50. Find mean.

In a simultaneous throw of a pair of dice, find the probability of getting a total more than 7.

In a throw of a coin, the probability of getting a head is?

One is asked to say a two-digit number. What is the probability of it being a multiple of 9?

Example of positional average

Which of the following is an example of central tendency

What is the reminder when the polynomial $4x^3+2x^2+x+1/2$ is divided by $2x-1$ ?

The equation $(x-2)^2+1=2x-3$ is:

If $x^5+2x^4+x+6$ is divided by g(x), and quotient is $x^2+5x+7$ , then the positive degree of g(x) is :

The zeros of the quadratic polynomial $x^2+kx+k$ :k=0

If the zeros of the quadratic polynomial $ax^2+bx+c$ ,c≠ 0 are equal , then :

Zeros of $p(x) = x^2-27$ are:

Find a quadratic polynomial, the sum and product of whose zeros are -3 and 2 respectively?

Find the value of k if x - 1 is a factor of $4x^3+3x^2+4x+k$

Find the value of k if x - 1 is a factor of $2x^3+x^2-4x+k$

Which theorem states that:"Given polynomial p(x), if p(a)=0 for some number a, then (x - a) is a linear factor of p(x). Likewise if (x-a) is a linear factor of p(x) then p(a) = 0."

Find the value of k if x - 2 is a factor of

4x^3+3x^2-4x+k

Find the value of k if x - 1 is a factor of $4x^3+3x^2-4x+k$

The expression $4x^2-px+7$ leaves the reminder -2 when divided by x - 3. Find the value of p

Find the reminder when $x^3-bx^2+6x-b$ is divided by $x-b$

Find the reminder when $4x^2+3x+1$ is divided by $2x +5$

Find the reminder when $4x^2+3x+1$ is divided by $x +1$

Find the reminder when $x^4+x^3-2x^2+x+1$ is divided by $x-1$

If p(x) is a third degree polynomial and s(x) is a fifth degree polynomial then find the degree of p(x) - s(x)

If p(x) is a third degree polynomial and s(x) is a fifth degree polynomial then find the degree of p(x) + s(x)

If p(x) is a third degree polynomial and s(x) is a fifth degree polynomial then find the degree of p(x)s(x)

Find the degree of the polynomial p(x)q(x); $p(x)=2x^2+4x+2$ , $q(x)=4x+6$

What is the degree of p(x)+q(x):

$p(x)=4x^4+3x^2+6x+9$ , $q(x)=5x^4+6x^3+8$

Find the reminder when $p(x)=4x^4+6x^3+6x+6$ is divided by $x+2$

What is the length of the chord whose distance from the centre is 8 cm and radius is 10 cm?

If the distance between center to chord is 12 cm and the length of the chord is 10 cm, then the diameter of the circle is

$p(x) =2x^2+3x+7$ , $q(x)=6x^2+8x-9$ Find $p(x)\times{q(x)}$

If ∠BCD = 82°, then ∠BAC = ?

If the radius (r) of a circle is increased by ‘x’ units, what is the number of units by which the circumference of the circle is increased?

In the given figure, two chords PQ and RS intersects each other at A and SQ is perpendicular to RQ. If ∠PAR – ∠PSR = 30°, then find the value of ∠ASQ?

In the figure, PA is a tangent from an external point P to the circle with centre O. If ∠POB = 110°, then the measure of ∠APO is:

In a circle of centre O, PR = 3a + 5 and RQ = 5a – 5, OR = 15 units, ∠ORP = 90°. Find the radius of the circle.

If a pizza is cut into eight equal parts, then what is the angle made by each sector?

In a circle with radius 5 cm, AG and CD are two diameters perpendicular to each other. The length of chord AC is:

In the given figure, ∠BOQ = 60° and AB is diameter of the circle. Find ∠ABO.

Find the reminder when $p(x)=2x^4+4x^2-1$ is divided by $x+1$

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