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Surface Areas and Volumes

Surface area and Volumes  Qustion 1   The dimension of a iron cuboid are 4.4m×2.6m×1.0m. It is melted and recast into a hollow cylindrical pipe of 30 cm inner radius and thickness 5cm find the length of the pipe?
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Quadratic Equations

  Quadratic Equations Qustion 1 Divide 27 into 2 parts such that the sum of their reciprocals is 3/20. Qustion 2 A rectangular feild 16m long and 10m wide. There is a path of uniform width all around it having an atea of 120m^2. form the quadrotic equation for the givn problem? Qustion 3 An employer finds that he increases the weekly wages of each worker by Rs 3 and employs 1 worker less, He reduces his weekly wage bill from Rs 816 to Rs 781. Taking the original weekly wage of each worker as Rs 'x', form an equation in 'x' and solve it to find the weekly wage of each worker. QUSTION 4 Swati can raw a boat at a speed of 5km/h in still water.  If she takes 1houer more to row the boat 5.25 km upstream and them  to return downstream. Ten find the speed of the still water.                 Quadratic Equation: ax 2 + bx + c = 0   a =   b =   c =  X 1 =   X 2 = ...
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Real Numbers

Real Numbers Question 1 Find the rational number between root 2 and root 3? Question 2  Tow positive integers a and b can be written as a = x^3y^2 and b= xy^3. x, y are prime numbers, then LCM (a, b). Question 3 Find the HCF of 1260 and 7344 using Euclid's algorithm. Question 4 Show that every positive integer is of the form 4q+1 or9 4q+3 where q is some integer. Question 5 Prove that root 2 is an irrational number. Question 6 Prove that 2+(root 3/5) is an irrational number, given that root 3 is an irrational number. Question 7 Prove that 2+5 root 3 is an irrational number. Question 8 What is the HCF of smallest prime number and the smallest composite number? Question 9 Given that root 2 is irrrational, prove that (5+3 root 2) is an irrational number. Question 10 Find HCFand LCM of 404 and 96 and verifiy that HCF*LCM = Product of the two given numbers. Question 11 Write whether ( 2 root 45 + 3 root 20)/( 2 root 5 ) on simplification gives an irrationa...
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