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How is T related to K? I. R's sister J hasmarried T's brother L, who is the only son of his parents. II. K is the only daughter of L and J.

A rectangular sheet of metal 44cm long and 20cm broad is rolled along its length into a cylinder.Find the curved surface area of the cylinder.

The rainfall recorded in a city for 60 days is given in the following table Calulate the median rainfall using a more than type ogive.

Pointing to a man, Komal said “His son is my son's uncle." How is the man related to Komal?

A linear equation in two variables represent a ………………. In xy plane.

A child has a dice whose six faces show the letters are given below : A B C D E A

If r(x)=0 when f(x)is divided by g(x) then g(x) is called ___ of the polynomials.

Write the following rational numbers in their decimal form and also state which are terminating and which are non-terminating, repeating decimal. 3/8

Write the following rational numbers in their decimal form and also state which are terminating and which are non-terminating, repeating decimal. 8/125

Write the following rational numbers in their decimal form and also state which are terminating and which are non-terminating, repeating decimal. 2/11

Write the following rational numbers in their decimal form and also state which are terminating and which are non-terminating, repeating decimal. 4 (1)/(5)

Write the following rational numbers in their decimal form and also state which are terminating and which are non-terminating, repeating decimal. (229)/400

A man ivests 11200rs in a company paying 6 percent per annum when its 100rs shares can be bought for 140rs Find : (i) his annual dividend (ii) his percentage return on his investment

From a rectangular solid of metal 42 cm xxx 30 cm xx20 cm a conical cavity of diameter 14 cm and depth 24 cm is drilled out. Find: (i) the surface area of remaining solid (ii) the volume of remaining solid (iii) the weight of the material drilled out if it weighs 7 gm//cm^(3)

If there an p terms in A.P. then what is the n^(th) term from the end.

Use graph paper for this question. (Take 2 cm = 1 unit along both x-axis and y-axis.) Plot the points O(0, 0), A(-4, 4), B(-3,0) and C(0, -3) .

Use graph paper for this question. (Take 2 cm = 1 unit along both x-axis and y-axis.) Plot the points 0(0, 0), A(-4, 4), B(-3,0) and C(0, -3) Reflect points A and B on the y-axis and name them A' and B' respectively. Write down their co-ordinates.

Evaluate : tan48^(@) tan23^(@) tan 42^(@) tan67^(@).

Find the distance between the following pairs of points : (a, b), (-a, -b)

Solve the following pair of linear equations by the method of substitution : s-t=3 (s)/(3)+(t)/(2)=6.

Construct any triangle ABC. Construct triangle A'BC' such that AB:A'B=5:3 and triangle ABC~ triangle A'BC'.

fg

If b^2

A solid sphere and a solid hemi-sphere have the same total surface area. Find the ratio between their volumes.

12 defective pens are accidentally mixed with 132 good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen is taken out at random from this lot. Determine the probability that the pen taken out is a good one.

Evaluate sin 15^(@) sec 75^(@)

Represent the following situations in the form of quadratic equations : Rohan's mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan's present age.

Solve the following equation 4y^2 + 6/y^2 =11

Evaluate the following (1+tan theta +sec theta ) ( 1+cot theta -cosec theta )

Find the third proportional to a + b andsqrt(a^(2) - b^(2))

A frustum of a cone has its radii of 15cm and 7cm with a height of 6cm is completely filled with water. Find the volume of water and curved surface area of frusturm ( Take pi = 3.14)

Find the point on the y-axis whose distances from the points (3, 2) and (-1, 1.5) are in the ratio 2:1.

For ths A.P. 1/4, -1/4, -3/4, -5/4…………, write the first term a and the common difference d. And find the 7th term.

A well of diameter 14m. is dug 15m. deep. The earth taken out of it has been spread evenly all around it in the shape of a circular ring of width 7 m to form an embankment. Find the height of the embankment.

Find the sum of first five multiples of 7.

Use Euclid's algorithm to find the HCF of 1651 and 2032

An aeroplane is flying over two houses which are at a distance of 300 m from each other. If at some moment from the aeroplane the angle of depression of two houses on the same side are 45^(@)" and "60^(@), at what height the plane is flying ?

Which term of the A.P. 3, 10,17,……. Will be 84 more than its 13th term ?

Evaluate the following (sec^(2) theta -1 ) (cosec ^(2) theta -1)

To draw a pair of tangents to a circle inclined to each other at 40^@, the angle at the centre of the circle between the two radii is _______

50rsshares of a company are quoted at a discount of 10%. Find the rate of dividend given by the company, the return on the investment on these shares being 20 percent.

How many triangles are contained in the figure given below ?

If A = [[1,0],[0,-1]],then find A^(2009) + (A^(T))^(2009)

How many terms of the A.P. 20, 19 1/3, 18 2/3,……… must be taken so that their sum is 300?

A life insurance agent found the following data about distribution of ages of 100 policy holders. Calculate the median age. [ Policies are given only to persons having age 18 years onwards but less than 60 years.]

Find the slope of the line passing through the given two point A(-1.4, -3.7), B(-2.4, 1.3)

Express 60^(@) in radian.

ABC is a cyclic equailateral triangle. If D be any point on the circular are BC on the oppsite side of the point A, then prove that DA=DB+DC