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On a plate in the shape of an equilateral triangle ABC with area 16 √3sq.cm , a rod GD, of height 8 cm, is fixed vertically. G is a point on the plate. If the areas of the triangles AGD and BGD are both equal to 4√19 sq.cm, find the area of the triangle CGD (in sq.cm).
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A cylinder vessels of height 5 cm and radius 4 cm is completely filled with sand. When this sand is poured out it forms a right circular cone of radius 6 cm. What will be the height of this cone?
10 persons begin to work together on a job but after some days 4 persons leave. As a result, the job which could have been completed in 40 days is completed in 50 days. How many days after the commencement of the work did the 4 persons leave?
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