
question_answer1) A polyhedron has 6 vertices and 12 edges. It is a
A) tetrahedron done
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B) octahedron done
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C) icosahedron done
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D) dodecahedron done
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E) None of these done
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question_answer2) A room of the hall is such that the ratio of the height of the room to its semi perimeter is \[\mathbf{6}:\mathbf{10}\] and the cost of wall paper to cover the walls of the room is Rs. 1700, when the width of the paper is 100 cm at the rate of Rs. \[\mathbf{10}\text{ }\mathbf{per}\text{ }\mathbf{mete}{{\mathbf{r}}^{\mathbf{2}}}\], except the door and window whose area is \[\mathbf{40}\text{ }{{\mathbf{m}}^{\mathbf{2}}}\]. The height of the room is:
A) \[2\sqrt{6}~m\] done
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B) \[6\sqrt{1.75}~m\] done
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C) \[4\sqrt{6}~m\] done
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D) \[5~\sqrt{6}\,m\] done
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E) None of these done
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question_answer3) An ant is moving around a few food pieces of different shapes scattered on the floor. For which foodpiece would the ant have to take a longer round?
A) Food Piece done
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B) Food Piece (b) done
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C) Food Piece done
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D) Food Pieces and (b) done
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E) None of these done
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question_answer4) A flooring tile has the shape of a parallelogram whose base is 24 cm and the corresponding height is 10 cm. How many such tiles are required to cover a floor of area \[1080\,{{m}^{2}}\]? (If required you can split the tiles in whatever way you want to fill up the corners).
A) 30,000 done
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B) 40,000 done
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C) 45,000 done
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D) 60,000 done
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E) None of these done
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question_answer5) A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:
A) \[720\,{{m}^{3}}\] done
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B) \[900\,{{m}^{3}}\] done
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C) \[1200\,{{m}^{3}}\] done
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D) \[1800\,{{m}^{3}}\] done
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E) None of these done
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question_answer6) A tool is made up of a cone on top of a cylinder as shown in the figure below. The cylinder has a height of 15 cm and a radius of 5 cm. The volume of the cone is \[100\,\pi \,c{{m}^{3}}\]. If O is the vertex of the cone and AB is the diameter of the base of the cone and C is its centre. Points O, A, B and C are in the same plane. Calculate the lateral surface area of the tool.
A) \[675.714\,c{{m}^{2}}\] done
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B) \[685.4\,c{{m}^{2}}\] done
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C) \[695.4\,c{{m}^{2}}\] done
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D) \[775.4\,c{{m}^{2}}\] done
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E) None of these done
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question_answer7) The external diameter of an iron pipe is 25 cm and its length is 20 cm. If the thickness of the pipe is 1 cm, find the total surface area of the pipe.
A) \[3267\,c{{m}^{2}}\] done
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B) \[3384\,c{{m}^{2}}\] done
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C) \[3224\,c{{m}^{2}}\] done
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D) \[3168\,c{{m}^{2}}\] done
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E) None of these done
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question_answer8) The length of a cylindrical metallic tube is one meter. Its thickness is 1 cm and its internal diametre is 12 cm. Find the weight of the tube if the density of the metal is 7.7 gram per cubic cm.
A) 32.67 kg done
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B) 33.84 kg done
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C) 32.24 kg done
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D) 31.46 kg done
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E) None of these done
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question_answer9) A hollow garden roller whose external diametre is 42 cm and has a length of 132 cm is made of 2 cm thick cast iron. Find the weight of the roller if \[\mathbf{1}\text{ }\mathbf{c}{{\mathbf{m}}^{\mathbf{3}}}\] of iron weighs 10 gram.
A) 331.89 kg done
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B) 277.78 kg done
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C) 279.78 kg done
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D) 278.5 kg done
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E) None of these done
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question_answer10) A hollow iron pipe is 21 cm long and its external diameter is 8 cm. Sf the thickness of the pipe is 1 cm and iron weighs \[\mathbf{8}\text{ }\mathbf{g}/\mathbf{c}{{\mathbf{m}}^{\mathbf{3}}}\], then the weight of the pipe is:
A) 3.6 kg done
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B) 3.696 kg done
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C) 36 kg done
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D) 36.9 kg done
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E) None of these done
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question_answer11) A metallic sheet is of rectangular shape with dimensions \[\mathbf{48m}\times \mathbf{36m}\]. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8m, the volume of the box \[(in\,\,{{m}^{3}})\] is :
A) 4830 done
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B) 5120 done
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C) 6420 done
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D) 8960 done
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E) None of these done
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question_answer12) A large cube is formed from the material obtained by melting three smaller cubes of side 3, 4 and 5 cm. What is the ratio of the total surface areas of the smaller cubes and the large cube?
A) \[2:1\] done
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B) \[3:2\] done
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C) \[25:18\] done
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D) \[27:20\] done
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E) None of these done
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question_answer13) The slant height of a right circular cone is 10m and its height is 8m. Find the area of its curved surface.
A) \[30\pi \,{{m}^{2}}\] done
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B) \[40\pi \,{{m}^{2}}\] done
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C) \[60\pi \,{{m}^{2}}\] done
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D) \[80\pi \,{{m}^{2}}\] done
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E) None of these done
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question_answer14) From a solid cylinder of height 4 cm and radius 3 cm, a conical cavity of height 4 cm and of base radius 3 cm is hollowed out. What is the total surface area of the remaining solid?
A) \[15\pi \,sq\,cm\] done
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B) \[22\pi \,sq\,cm\] done
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C) \[33\pi \,sq\,cm\] done
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D) \[48\pi \,sq\,cm\] done
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E) None of these done
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