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Find the mean deviation from the mode for the following ungrouped data: 2.5, 6.5, 7.3, 12.3, 16.2.

If x + y lt 2 and y =2x - 7, then find the range of x.

The runs scored by two teams A and B on the first 60 balls in a cricket match are given below: Represent the data of both the teams on the same graph by frequency polygons.

If x+3 is a factor of x^(3) +6x^(2) + 11x + k, then k =.

If a line intersects two concenteric circles (circles with the same centre) with center O at A,B,C and D, prove that AB=CD (see figure).

Factorise : 12x^(2) - 7x + 1

What will be the output fo the following algrothim ?

A sum of Rs 22000 is divided into three parts such that the corresponding interests earned after 1 year at 2% per annum, 4 years at 2% per annum and 16 years at 1% per annum simple interest are equal. Find the least of the sum which was lent. (in Rs)

Classify the following as linear, quadratic and cubic polynomials : x^(2) + x

Select the correct answer (MCQ) : (v) If log(sqrtx) 0.25 = 4, "then" x =

Every point on a number line represents.

Which one of the followings is the transitivity law ?

I and m are two parallel lines intersected by another pair of parallel lines p and show that triangle ABC = triangle CDA

The volume of a cuboid is 1200 cm ^(3)The length 15 cm .and breadth is 10 cm , Find its height

In the following table, pass percentage of three schools from the year 2001 to the year 2006 are given. Which school students' performance is more consistent? {:(,2001,2002,2003,2004,2005,2006),("School X",80,89,79,83,84,65),("School Y",92,94,76,75,80,63),("School Z",93,97,67,63,70,85):}

The mean of 15 observations is 32. Find the resulting mean, if each observation is divided by 0*5

Mean of 15 observations is 200. If one observation is excluded, the mean of remaining observations is 198.Find the value of the excluded observation.

Simplify : (i)3^(1//3)xx(2//5)""(ii)((1)/(2))^(1//5)xx2^(3//5)

The surface area of a sphere is 616 cm^(2). Then, its radius is ……… cm.

If E be a random experiment or rolling a dice and S be its sample space, then if one dice is rolled then find the sample space of it and also find the probability ofnot getting 4.

Draw a histogram for the marks of students given below:

For each of the following polynomials, find p(0), p(1) and p(3) : p(x) = (1)/(3)x^(2) + 4x -1

Construct a Delta ABC in which BC=6 cm, angleB=60^(@) and (AB+AC)=9 cm. Measure AB andAC. Justify your answer.

Divide the polynomial x^(3) - 4x^(2) + 3x +1 by each of the following divisors and find the remainder in each case : x-3

Divide the polynomial x^(3) - 4x^(2) + 3x +1 by each of the following divisors and find the remainder in each case : x+4

Divide the polynomial x^(3) - 4x^(2) + 3x +1 by each of the following divisors and find the remainder in each case : x-1

Divide the polynomial x^(3) - 4x^(2) + 3x +1 by each of the following divisors and find the remainder in each case : x+1

Factorise : 6x^(3) + 13x^(2) + 9x + 2

Factorise : x^(3) + 8x^(2) + 19x + 12

Write each of the following as an equation in two variables : x = - 5

Prasad invested Rs.4000 to buy type A shares of a company. He invested in the same company to buy Rs.4000 worth type B shares at face value. Market value of A equals equals face value of B. If he bought a total 64 shares of both, how many type A shares did the buy?

Find the square root of (x^(2))/(9) + (9)/(4x^(2)) - (x)/(3) - (3)/(2x) + (5)/(4)

Rs 16,820 is divided between Govind and Geeta, both aged 27 and 25 years respectively. Their money is invested at 5% per annum compound interst in such a way that both receive equal to money at the age of 40 years. Find the share of each out of Rs 16,820.

State the degree of each the following polynomials : sqrt(2)x^(2) -5x^(3) + 7x +(1)/(4)

The sides containing right angles of a right angled triangle are 8 cm and 6 cm. It is rotated about its hypotenus. Find the volume and total surface area of the formed solid.

The volume of a cylinder is 308 cm ^(3) . Its heights is 8cm . Find its lateral surface area and total surface area.

Simplify the following expressions. (5+sqrt5)(5-sqrt3)

If A={:[(8,-4),(12,4)]:},B={:[(12,-8),(8,8)]:}andC={:[(4,8),(4,8)]:}, then show that AC=BC.

Find: 32^((1)/(5))

Divide the polynomial 2x ^(4) - 4x ^(3) - 3x -1 by (x-1) and find its quotient and remainder.

Evaluate : (i) sin^(2)30^(@)-2cos^(3)60^(@)+3tan^(4)45^(@) (ii) (cos0^(@)+sin45^(@)+sin30^(@))(sin90^(@)-cos45^(@)+cos60^(@))

In the givenfigure , ar (DRC) = ar ( DPC) and ar(BDP) = ar(ARC) . Showthat boththe quadrillaterals ABCDand DCPRare trapeziums.

If a point C lies between two points A and B such that AC = BC, then prove that AC=(1)/(2)AB. Explain by drawing the figure.

State the coefficient of x^(2) in each of the following polynomials : sqrt(2)x^(2) + 7x - 4sqrt(2)

Given that angleA and angleB are supplementary angles. If angleA:angleB=7:8, then find angleA and angleB.

Use suitable identities of find the following products (y^2+3/2)(y^2-3/2)

Evaluate each of the following using proper identity : 82 xx 85