Quantitative Aptitude Quiz for SSC (Mensuration): 27 March 2021

Updated Sat, 27 Mar 2021 08:20 PM IST

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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:

a) 16π cm^3
b) 18π cm^3
c) 15π cm^3
d) 12π cm^3



2. In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:

a) 720 m^3
b) 600 m^3
c) 750 m^3
d) 900 m^3

 
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:

a) 900 m^3
b) 1800 m^3
c) 1200 m^3
d) 1500 m^3

4. 66 cubic centimetres of silver is drawn into a wire 1 mm in diameter.

Source: safalta

The length of the wire in metres will be:

a) 72
b) 80
c) 84
d) 88

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/cm^3, then the weight of the pipe is

a) 369.6 kg
b) 3.996 kg
c) 36.96 kg
d) 3.696 kg
 
6. A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:

a) 60 kg
b) 45 kg
c) 72 kg
d) 48 kg


7. 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 m^3, then the rise in the water level in the tank will be:

a) 15 cm
b) 20 cm
c) 25 cm
d) 30 cm


8. The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.

a) 54π m^2
b) 48π m^2
c) 72π m^2
d) 60π m^2


9. A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:

a) 49 m^2
b) 44 m^2
c) 42 m^2
d) 55 m^2



10. 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 m^3) is:

a) 5540
b) 5120
c) 4980
c) 5240

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