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What do we get on simplifying the expression xx+1+x+1x1x(x+1)\frac{x}{x+1}+\frac{x+1}{x}-\frac{1}{x(x+1)}

A batsman has an average of 36.5 runs in 10 innings. How many runs should he get in the next two innings to make the average 40.
If the surface area of a cube is 24 sq.cm. then find the length of its diagonal.
The volume of a cylinder is twice the volume of a sphere whose radius is twice the height of the cylinder. Then the ratio of the radius of the cylinder to the height is:
If the radius of a cylinder is increased by 10% and height remains unchanged, then what is the percentage of increase in volume ?
If the surface area of a cube is 24 sq.cm, Then find the length of its diagonal.
What is the eccentricity of the conic with equation 3y²-x²=108 ?
A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?
ഒരു സമചതുരത്തിന്റെ ചുറ്റളവ് ഒരു ദീർഘചതുരത്തിന്റെ ചുറ്റളവിന്റെ നാലിലൊന്ന് ആണ്. സമചതുരത്തിന്റെ ചുറ്റളവ് 44 സെന്റിമീറ്ററും ദീർഘചതുരത്തിന്റെ നീളം 51 സെന്റിമീറ്ററും ആണെങ്കിൽ, ദീർഘചതുരത്തിന്റെ വീതിയും സമചതുരത്തിന്റെ വശവും തമ്മിലുള്ള വ്യത്യാസം എന്താണ്?
രണ്ട് അർദ്ധ ഗോളങ്ങളുടെ ആരങ്ങൾ തമ്മിലുള്ള അനുപാതം 3 : 4 ആണെങ്കിൽ അവയുടെ വക്രതല വിസ്തീർണങ്ങൾ തമ്മിലുള്ള അനുപാതം എത്ര ?
Find the equation of the circle concentric with the centre x²+y²-4x-6y-9=0 and passing through the point (-4,-5) ?
A sphere of surface area 500𝝅 square centimeters is cut into two equal hemispheres. The surface area of each hemisphere in square centimeters is

A quadrilateral is given in the figure. The length of one diagonal is 16 centimeters and the lengths of the perpendiculars from the opposite vertices to that diagonal are 9 centimetres and 7 centimetres. The area of the quadrilateral in square centimeters is :

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In the figure P and Q are mid points of AB and AC respectively. The perimeter of triangle ABC is:

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A courtyard is 16 metres long and 8 metres broad. How many square tiles of side 40 centimeters are required to pave the courtyard?

Observe the picture of a hall. It has been divided by a line. One part of the hall is a stage of length x and breadth y. The remaining area of the hall is a square. What is the total area of the hall?

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In the figure, APCB is a trapezium. AF is parallel to BC. The diagonals of the trapezium divide it into four parts. The areas of two parts are given as 45 and 15 sq. units. The area of the trapezium in sq units is:

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The base radii of two cones are in the ratio 5:3 and their heights are equal. If the volume of the first cone 750𝝅 cu centimeters, then what is the volume of the second come cu. centimeters?
A rectangle has a perimeter 64 centimeters. Its length is represented by 4x + 6 and breadth by 3x - 2 What is its length and breadth in centimeters?
A square pyramid of base edge 10 centimeters and slant height 12 centimetres is made of paper.What are the lengths of the edges of the lateral face in centimetres?
The lengths of the adjacent sides of a parallelogram are 5 centimetres and 12 centimetres. The length of one of its diagonals is 13 centimetres. The area of the parallelogram is :

In the figure of the trapezium a =8 cm, b = 14cm h = 6cm what is its area ?

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A rectangular box is of length 3 metres, breadth 2 metres and height 1 metre. How many bricks of length 30 centimetres , breadth 20 centimetres and height 10 centimetros will exactly fill the box?
The perimeter of an equilateral triangle is 24 centimetres. Its area in square centimetres is
The surface area of a cube is 216 sq centimetres. Its volume in cu. centimetres is :
വശങ്ങളുടെ നീളം ഒന്നര മീറ്റർ ആയ സമചതുരത്തിന്റെ പരപ്പളവ് എത്രയാണ് ?
If the length and breadth of a rectangle are 15cm and 10cm, respectively, then its area is:
The area of a rhombus whose diagonals are of lengths 10 cm and 8.2 cm is:
The area of a rhombus is 240 cm² and one of the diagonals is 16 cm. Find the other diagonal.
If a cuboidal box has height, length and width as 20 cm, 15 cm and 10 cm respectively. Then its total surface area is:
The height of a cylinder whose radius is 7 cm and the total surface area is 968 cm2 is:
The height of a cuboid whose volume is 275 cm3 and base area is 25 cm2 is:
What is the C.S.A of resulting solid if two identical cubes are joined end to end together with the length of the sides of the cube is 4 m?
What is the length of the resulting solid if two identical cubes of side 8 cm are joined end to end?
The length, breadth and height of the cuboid is 8 cm, 4 cm and 4 cm. Find the volume of the cuboid?
What is the length of the resulting solid if two identical cubes of side 7 cm are joined end to end?
A toy is in the form of a cone mounted on a hemisphere and a cylinder. The radius and height of the cone are 3 m and 4 m. Find the volume of the given solid?
Find the volume of the largest right circular cone that can be cut out of cube having 5 cm as its length of the side.
The radius of a sphere is 2r, then its volume will be
The surface area of a sphere of radius 14 cm is:
The curved surface area of a right circular cylinder of height 14 cm is 88 cm². The diameter of the base is:
If the radius of a cylinder is 4cm and height is 10cm, then the total surface area of a cylinder is:
The surface area of cuboid-shaped box having length=80 cm, breadth=40cm and height=20cm is:
The surface area of a cube whose edge equals to 3cm is:
Ratio of volume of a cone to the volume of a cylinder for same base radius and same height is
A cone has slanted height of 5cm and height of 4cm, its volume (in cm³) is __________
What is the volume of a cone having radius of 21cm and height of 5cm?
The radius of cone is 10 cm. The ratio of curved surface area and the total surface area of cone is 4: 5. Find the slant height of the cone.
Find the length of the edge of a cube whose surface area is given as 54 cm².
Find the area of a rhombus whose diagonals are given to be of lengths 6 cm and 7 cm.