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Question Bank : Age Group 1415 : VII1. Find the three numbers in arithmetic progression whose sum is 24 and the sum of their cubes is 1968. 3. Find 4 numbers in Geometric progression whose sum is 85 and whose product is 4096. 4. Find the least value of n such that if the sum to n terms is given by 5. How many meters of cloth 11 meters wide would be required to make a conical tent, the radius of whose base is 7 meters and whose height is 24 meters? 6. An iron sphere of diameter 12 centimeters is dropped into a cylindrical can of diameter 24 centimeters containing water.Find the rise in the level of water if the sphere is completely immersed in water. 7. Given f(x0 = 5x+2, g(x) = 2x3, and h(x) = 3x+1, verify fo(goh) = (fog)oh. 8. Solve: and . 9. Find the Greatest Common Divisor of . 10. Simplify: . 11. Decompose into partial fractions: . 12. If m and n are the roots of the equation , find the values of . Character is who you are when no one is looking. 