1. If the sum of three dimensions and the total surface area of a rectangular box are 12 cm and 94 cm^2 respectively, then the maximum length of a stick that can be placed in side the box is
(a) 5 √2 cm
(b) 5 cm
(c) 6 cm
(d) 2 √5 cm
2. A rectangular sheet of metal is 40 cm by 15cm. Equal squares of side 4 cm are cut off at the corners and the remainder is folded up to form an open rectangular box. The volume of the box is
(a) 896 cm^3
(b) 986 cm^3
(c) 600 cm^3
(d) 916 cm^3
3. A hall is 15m. long and 12m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of the four walls, the volume of the hall, in cu. m, is
(a) 720
(b) 900
(c) 1200
(d) 1800
4. 3 cubes each of edge 1 m, 6 m and 8 m respectively are melted into one single cube. The surface area of the new cube is:
(a) 294 m^2
(b) 324 m^2
(c) 486 m^2
(d) 468 m^2
5. The ratio of radii of two right circular cylinder is 2 : 3 and their heights are in the ratio 5: 4. The ratio of their curved surface area is
(a) 5 : 6
(b) 3 : 4
(c) 4: 5
(d) 2 : 3
6. If cylinder A has three times the heights and one-third the diameter of cylinder B, then volume of A: volume of B equals
(a) 4 : 9
(b) 9 : 1
(c) 1: 3
(d) 1 : 9
7. 10 cylindrical pillars of a building have to be painted. The diameter of each pillar is 70 cm and the height is 4m. What is the cost of painting at the rate of Rs. 5 per square metre?
(a) Rs. 400
(b) Rs. 440
(c) Rs. 480
(d) Rs. 500
8. A solid cylinder has total surface area of 462 cm^2. Its curved surface area is 1/3 rd of the total surface area. Then the radius of the cylinder is
(a) 7 cm
(b) 3.5 cm
(c) 9 cm
(d) 11 cm
9. The amount of cubic units of the volume of a sphere is double the amount of whole surface area of the same in square units, then the same radius of the sphere is
(a) 8 units
(b) 5.5 units
(c) 6 units
(d) 10 units
10. If the diameter of a sphere is doubled, how does its surface area change?
(a) It increases two times.
(b) It increases three times.
(c) It increases four times.
(d) It increases eight times.
Note: Answers and Solutions are updated soon...........
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