a) 1 : 2 b) 2 : 3 c) 3 : 4 d) 4 : 5 Answer: b Explanation: ...
View QuestionIf a hollow sphere of internal and external diameters 4 cm and 8 cm respectively is melted into a cylinder of base diameter 8 cm, then the height of the cylinder is :
a) 4 cm b) $$\frac{13}{3}$$ cm c) $$\frac{14}{3}$$ cm d) 5 cm Answer: c Explanation: Let the ...
View QuestionA hollow spherical metallic ball has an external diameter 6 cm and is 1/2 cm thick. The volume of metal used in the ball is :
A hollow spherical metallic ball has an external diameter 6 cm and is $$\frac{1}{2}$$ cm thick. The volume ...
View QuestionIce cream completely filled in a cylinder of diameter 35 cm and height 32 cm is to be served by completely filling identical disposable cones of diameter 4 cm and height 7 cm. The maximum number of persons that can be served this way is :
a) 950 b) 1000 c) 1050 d) 1100 Answer: c Explanation: Volume of cylinder : $$\eqalign{ & = \left( ...
View QuestionIf the area of the base of a right circular cone is 3850 cm^2 and its height is 84 cm, then the curved surface area of the cone is :
If the area of the base of a right circular cone is 3850 cm2 and its height is ...
View QuestionWhat part of a ditch, 48 metres long, 16.5 metres board and 4 metres deep can be filled by the earth got by digging a cylindrical tunnel of diameter 4 metres and length 56 metres ?
a) $$\frac{1}{9}$$ b) $$\frac{2}{9}$$ c) $$\frac{7}{9}$$ d) $$\frac{8}{9}$$ Answer: b Explanation: Volume of earth dug : $$\eqalign{ & = \left( {\frac{{22}}{7} ...
View QuestionCapacity of a cylindrical vessel is 25.872 litres. If the height of the cylinder is three times the radius of its base, what is the area of the base ?
a) 336 cm2 b) 616 cm2 c) 1232 cm2 d) None of these Answer: b Explanation: ...
View QuestionA cube of length 1 cm is taken out from a cube of length 8 cm. What is the weight of the remaining portion ?
a) $$\frac{7}{8}$$ of the weight of the original cube b) $$\frac{8}{9}$$ of the weight of the original cube c) $$\frac{63}{64}$$ of ...
View QuestionA swimming bath is 24 m long and 15 m broad. When a number of men dive into the bath, the height of the water rises by 1 cm. If the average amount of water displaced by one of the men be 0.1 cu.m, how many men are there in the bath ?
a) 32 b) 36 c) 42 d) 46 Answer: b Explanation: Volume of water displaced : $$\eqalign{ & = \left( {24 \times ...
View QuestionA rectangular water tank is open at the top. Its capacity is 24 m^3. Its length and breadth are 4 m and 3 m respectively. Ignoring the thickness of the material used for building the tank, the total cost of painting the inner and outer surface of the tank at the rate of Rs. 10 per m^2 is :
A rectangular water tank is open at the top. Its capacity is 24 m3. Its length and breadth ...
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