(a) 3.4 kg
(b) 4.8 kg
(c) 6.4 kg
(d) 7.2 kg
Q 2. The base of a right prism is a right angled isosceles triangle whose hypotenuse is "a" cm. If the height of the prism is h cm, then its volume is:
(a) (a2 h)/4 cm3
(b) (a2 h)/6 cm3
(c) (a2 h)/8 cm3
(d) (a2 h)/12 cm3
Q 3. The perimeter of the triangular base of a right prism is 60 cm and the side of the base are in the ratio 5 : 12 : 13. Then, its volume will be (height of the prism being 50 cm)
(a) 6000 cm3
(b) 6600 cm3
(c) 5400 cm3
(d) 9600 cm3
Q 4. Find the total surface area of a pyramid having a slant height of 8 cm and a base which is a square of side 4 cm (in cm^2)?
(a) 80
(b) 64
(c) 72
(d) 84
Q 5. A prism and a pyramid have the same base and the same height. Find the ratio of the volumes of the prism and the pyramid.
(a) 1 : 1
(b) 1 : 3
(c) 3 : 1
(d) Cannot be determined
Q 6. A solid metallic cylinder of base radius 3 cm and height 5 cm is melted to form cones, each of height 1 cm and base radius 1mm. The number of cones is:
(a) 7500
(b) 13500
(c) 3500
(d) 4500
Q 7. A solid consists of circular cylinder with exact fitting right circular cone placed on the top. The height of the cone is h. If total volume of the solid is three times the volume of the cone, then the height of the circular cylinder is :
(a) 2 h
(b) (2 h)/3
(c) 4 h
(d) (3 h)/2
Q 8. Water flows at the rate of 10 m/min from a cylindrical pipe 5 mm in diameter. How long will it take to fill up a conical vessel whose diameter at the base is 40 cm and depth is 24 cm?
(a) 51 min 12 s
(b) 52 min 1 s
(c) 48 min 15 s
(d) 55 min
Q 9. A cylindrical jar, whose base has a radius of 15 cm, is filled with water upto a height of 20 cm. A solid iron spherical ball of radius 10 cm is dropped in the jar to submerge completely in water. Find the increase in the level of water (in cm).
(a) 5 (17/27)
(b) 5(5/7)
(c) 5(8/9)
(d) 5(25/27)
Q 10. A sphere of radius r has the same volume as that of a cone with a circular base of radius r. Find the height of the cone.
(a) 2r
(b) r/3
(c) 4r
(d) (2/3)r
Q 11. Let A be a pyramid on a square base and B be a cube. If a, b and c denote the number of edges, number of faces and number of corners, respectively. Then, the result a = b + c is true for
(a) only A
(b) only B
(c) both A and B
(d) neither A nor B
Q 12. Seven equal cubes each of side 5 cm are joined end-to-end. Find the surface area of the resulting cuboid.
(a) 750 sq cm
(b) 1500 sq cm
(c) 2250 sq cm
(d) 700 sq cm
Q 13. A hemispherical basin of 150 cm diameter holds water 120 times as much as a cylindrical tube. If the height of the tube is 15 cm, then the diameter of the tube is
(a) 27 cm
(b) 24 cm
(c) 25 cm
(d) 26 cm
Q 14. A well of inner diameter 14 m is dug to a depth of 15 m. Earth taken out of it has been evenly spread all around it to a width of 7 m to form an embankment. Find the height of embankment so formed.
(a) 7 m
(b) 5 m
(c) 14 m
(d) None
Q 15. In a shower, 10 cm of rain falls. What will be the volume of water that falls on 1 hectare area of ground?
(a) 500 cm3
(b) 650 cm3
(c) 1000 cm3
(d) 750 cm3
Solutions will be updates soon...
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