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How many independent meaningful words can 'STAINLESS' be divided into without changing the order of the letters and using each letter only once?

Divide a line segment AB in the ratio 4:5, a ray AX is drawn first such that angle BAX is an acute angle and then points A_1, A_2, A_3, ........ are located at equal distances on the ray AX which should be joined to B?

The sum of the coefficients in the expasnio of (x+y)^(7) is ________

James started from a point X, 4 units away from the origin above the X-axis. He walked to the origin and turned right to Y, 3 units away. What are points X and Y? Locate them on the Cartesian plane. What is distance between X and Y ?

Asolid ball is exactly fitted inside the cubical box of side a. The volume of the ball is (1)/(6) pi a^(3).

Find the value of k so that the area of the triangle with vertices (1,-1),(-4,2k)and (-k,-5) is 24 square units.

A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. find the height of the cylinder.

If PAINT is coded as 74128 and EXCEL is coded as 93596, then how would you decode ACCEPT?

A coin is tossed once. What is the probabitlity of getting a head?

The monthly expenditure of a family on different items is given in the following table. Calculate the related central angles.

A and B are two points 150 km apart on a highway. Two cars start with different speeds from A and B at same time. If they move in same direction, they meet in 15 hours. If they move in opposite direction, they meet in one hour. Find their speeds

How many whole numbers, each divisible by 7, lie between 200 and 500?

If h,C,V respecitively are the height the curved surface area and volume of a cone prove that 3piVh^(3)-C^(2)h^(2)+9V^(2)=0

It depends upon the demand of the situation whether we are intersted in finding the acerage marks obtained by the students or the marks obtained by most of the students . What do we find in the first situation ?

It depends upon the demand of the situation whether we are intersted in finding the acerage marks obtained by the students or the marks obtained by most of the students . What do we find in the secondsituation ?

If x=cotA+cosA,y=cotA,prove that : ((x-y)/(x+y))^(2)+((x-y)/(2))^(2)=1

A solid sphere of radius 15 cm is melted and recast into solid right circular cones of radius 2.5 cm and height 8 cm. Calculate the number of cones recast.

A cylinder has a diameter of 20 cm. The area of the curved surface is 100 sq cm. Find the height of the cylinder correct to one decimal place.

Which of the following graphs shows a line where each value of y is three more than half of x?

A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.

Solve for(x - 1)^(2)and(y + 3)^(2),2x^(2) - 5y^(2) - x - 27y - 26 = 3(x + y + 5)and4x^(2) - 3y^(2) - 2xy + 2x - 32y - 16 = (x - y + 4)^(2).

What is the probability of getting no head when two coins are tossed simultaneously?

Water flows through a cylindrical pipe of internal diameter 7 cm at 5 metre per second. Calculate : (i) the volume, in litres, of water discharged by the pipe in one minute, (ii) the time, in minutes, the pipe would take to fill an empty rectangular tank 4m xx 3m xx 2.31 m.

A bag contains a red ball, a blue ball and a yellow ball, all the balls being of the same size. Kritika takes out a ball from the bag without looking into it. What is the probability that she takes out the (i) yellow hall? (ii) red ball? (iii) blue ball?

If (5,6) is the midpoint of the line segment joining (6,5) and (4,k), thenthe value of K is

Find what length of canvas, 2 m in width, is required to make a conical tent 12 m in diameter and 63 m in slant height? Also, find the cost of the canvas at the rate of Rs. 150 per metre.

Draw a right triangle in which ( other than the hypoten use ) are of lengths 4 cm and 3 cm. Then construct another triangle whose sides are 5/3 times the corresponding sides of the given triangle.

If [{:(,1,4),(,-2,3):}] +2M=3 [{:(,3,2),(,0,-3):}] find the matrix M.

If the surface area of a sphere is 144pi"cm^(2), then its volume is. . . . .

Check whether the given sequences form a G.P. or not : 9,12, 16,24,. . . . . . . . . . . .

Represent the following situations in the form of quadratic equations : A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/h less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train.

Find the third term from the end of the G.P. (2)/(27),(2)/(9),(2)/(3), . . . . . . . . . . .. . . . .,162.

Find the area of triangle with vertices (0, 0), (4, 0) and (0, 5).

triangleABC is right angled at A and AD bot BC. If BC = 13 cmand AC= 5 cm. find the ratio of the areas of triangleABC and triangleADC.

For what value of n, the nth term of A.P. 63, 65, 67,……... and nth term of A.P. 3. 10. 17. ...... are equal to each other?

Two AP’s have the same common difference. The 1 st term of one of these is -5 and that of the other is 2. What is the difference between there (z) 5th term (ii) 12th term?

Find the area of that triangle whose vertices are (2,3),(-3,4)and(7,5).

Fill in the blank using correct word given in bracket : Two polygons of the same number of sides are similar, if their corresponding agles are …………….. . (equal/propotional)

If a^(2)= b+ c, b^(2) = c+ a, c^(2) =a+b , then the value of (1)/( a+1) + (1)/( b+1) + (1)/( c+1) is equal to

Solve each the following pairs of equations by reducing them to a pair of linear equations. (i) 5/x-1 + 1/y-2 = 2 6/x-1 - 3/y-2 = 1

From the top of a church spire 96 m high, the angle of depression of two vehicles on the road, at the same level as the base of the spire and on the same side of it are x° and y°, where tan x^(@) = 1/4 and tan y^(@) =1/7.The distance between the vehicles is:

If p and q are distinct roots of the equation above and pqgt0, what is the value of the product pq?

Evaluate each of the following in terms of x and y, if it is given that x = log_(2)3 and y = log_(2)5 log_(2)15

Find what length of canvas, 1.5 m in width, is required to make a conical tent 48 m diameter and 7 m in height ? Given that 10% of the canvas is used in folds and stitchings. Also, find the cost of the canvas at the rate of Rs.24 per metre.

From the end points of a diameter a diameter of circle perpendiculars are drawn to a tngent of the same circle. Show their feet on the tangent areequidistant from the centre of the circle.

Write the value of a, b, c for quadratic equation 2z-5/z = z-6

Solve for x by fractorisation sqrt2 x ^(2) + 7x + 5 sqrt2 =0

If A=[{:(,1,2),(,2,1):}] and B=[{:(,2,1),(,1,2):}] find : (i) A(BA) (ii) (AB) B.