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“What is the different between height and radius of solid cylinder?” Which of the following option is sufficient alone to find the answer? A) A solid cylinder is made by melting a solid sphere. The radius of cylinder is 3 times the radius of a circle whose area is 154 sq.m. Height of cylinder is equal to the height of cone whose volume is 2772 cubic meters. B) Area of a rectangle whose longer side is ¾ times the radius of a solid cylinder, is 168 sq.m and, Volume of solid cylinder is 2772 cubic meters and its height is 18 m. C) A metallic cone of radius 15m and height 35m is melted into the solid cylinder of radius equal to the radius of a circle whose area is equal to the area of rectangle whose sides are in the ratio 4 : 3 respectively. D) The curved surface area of the solid cylinder is 3 time the surface area of a sphere of radius 7m and height of cylinder is equal to the height of a metallic cone whose curved surface area is 308 sq.m. 
Rearrange the given 5 sentences A, B, C, D and E in proper sequence to form a meaningful paragraph and mark the correct sequence from the given options as your answer. Child labour interferes with the proper growth and development of the children in all aspects like mentally, physically, socially and intellectually. Child labour is the service paid by the children in their childhood in any field of work.  Childhood is the great and happiest period of the lives of everyone during which one learns about the basic strategy of the life from parents, loved ones and nature. This is done by the child due to the lack of resources for the survival of life and irresponsibility of the parents. It does not matter what is the cause of child labour as all the causes force children to live their life without childhood.
Consider a given volume of liquid at a temperature T below Tm with a free energy G’. If some of the atoms of the liquid cluster together to form a small sphere of solid, the free energy of the system will change to G, given by________ (Assume V1 volume of the solid sphere, V2 volume of liquid, A is the solid/liquid interfacial area, γ solid/liquid interface free energy, G1 and G2 are the free energies per unit volume of solid and liquid respectively).
Which of the following among item A and item B are correct?
Item A: Common intention within the meaning of Section 34 of the Penal Code means:
1. Evil intention of many persons to commit the same act
2. Implication of a pre-arranged plan, prior meeting of mind, between all the persons constituting the group
3. A desire of several persons to commit an act without contemplating the consequences
Item B: Within the meaning of section 149 in prosecution of common object of an unlawful assembly's means:
1. In relation to common intention of the group
2. In order to attain the common object
3. In relation to a common object
Select the correct answer:
A solid cube is cut out from a solid cuboid of length, breadth are in the ratio 3 : 2 and the height of cuboid is 3 less than the breadth. If the area of four walls of cuboid is 200 cm2 then find the total surface area of the resultant solid where side length of cube is 60% of the height of the solid cuboid. 
A solid X is in thermal equilibrium with a solid Y. Solid Y has the same temperature as solid Z. If the three solids have different masses and compositions, which one of the following statements is correct? 
A hollow cylinder is formed by cutting out a solid cylinder of radius r/k from a solid cylinder of radius r. The height of both solid cylinders was equal. The volume of the hollow cylinder m times the volume of the new solid cylinder. What is the relationship between m and k?
200 kg of solids (on dry basis) is subjected to a drying process for a period of 5000 seconds. The drying occurs in the constant rate period with the drying rate as, Nc = 0.5 × 10-3 kg/m2.s. The initial moisture content of the solid is 0.2 kg moisture/kg dry solid. The interfacial area available for drying is 4 m2/1000 kg of dry solid. The moisture content at the end of the drying period is (in kg moisture/kg dry solid)
In the following sentence, the word 'childhood' is grammatically classified as: Childhood memories are sources of great joy.
The least common multiple of two numbers is 24 times their greatest common factor. The sum of the least common multiple and the greatest common factor is 450. If one of them is 54, what will be the sum of digits of the second number?