Volume and Surface Area on Arithmetic Aptitude related Questions and Answers

Question 1 : A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is:


1. 12 cm3
2. 15 cm3
3. 16 cm3
4. 20 cm3
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Question 2 : In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:


1. 75 cu. m
2. 750 cu. m
3. 7500 cu. m
4. 75000 cu. m
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Question 3 : 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:


1. 720
2. 900
3. 1200
4. 1800
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Question 4 : 66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:


1. 84
2. 90
3. 168
4. 336
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Question 5 : A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then the weight of the pipe is:


1. 3.6 kg
2. 3.696 kg
3. 36 kg
4. 36.9 kg
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Question 6 : 50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m3, then the rise in the water level in the tank will be:


1. 20 cm
2. 25 cm
3. 35 cm
4. 50 cm
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Question 7 : The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.


1. 30 m2
2. 40 m2
3. 60 m2
4. 55 m2
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Question 8 : A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:


1. 4830
2. 5120
3. 6420
4. 8960
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Question 9 : The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.


1. 3 : 7
2. 7 : 3
3. 6 : 7
4. 7 : 6
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Question 10 : A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:


1. 90 cm
2. 1 dm
3. 1m
4. 1.1 cm
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