Quant Quiz

1. The volume of a conical tent is 1232 cu m and the area of its base is 154 m². Find the length of the canvas required to build the tent, if the canvas is 2 m in width. Take π=22/7

270 m

272 m

276 m

275 m

Solution:

2. A solid cylinder has total surface area of 462 sq. cm. Curved surface area is 1/3 rd of its total surface area. The volume of the cylinder is :

530 cm²

536 cm²

539 cm²

545 cm²

Solution:

3. The length of the diagonal of a cube is 6 cm. The volume of the cube (in cm ³) is :

18 √3

24 √3

28 √3

30 √3

Solution:

4. The volume of a right circular cone is 1232 cm3 and its vertical height is 24 cm. Its curved surface area is :

154 cm²

550 cm²

604 cm²

704 cm²

Solution:

5. 3 spherical balls of radii 1 cm, 2 cm and 3 cm are melted to form a single spherical ball. In the process, the loss of material is 25%. The radius of the new ball is :

6 cm

5 cm

3 cm

2 cm

Solution:

6. A cylindrical can whose base horizontal and is of internal radius 3.5 cm contains sufficient water so that when a solid sphere is placed inside, water just covers the sphere. The sphere fits in the can exactly. The depth of water in the can before the sphere was put is :

35/7 cm

17/3 cm

7/3 cm

14/3 cm

Solution:

7. The radius of a cylinder is 10 cm and height is 4 cm. The number of centimeter that may be added either to the radius or to the height to get the same increase in the volume of the cylinder is :

5

4

25

16

Solution:

8. A semicircular sheet of metal of diameter 28 cm is bent into an open conical cup. The capacity of the cup (taking π=22/7) is :

624.26 cm³

622.36 cm³

622.56 cm³

623.20 cm³

Solution:

9. A large solid sphere is melted and moulded to form identical right circular cones with base radius and height same as the radius of the sphere. One of these cones is melted and moulded to form a smaller solid sphere. Then the ratio of the surface area of the smaller to the surface area of the larger sphere is :

1:3^(4/3)

1:2^(3/2)

1:3^(2/3)

1:2^(4/3)

Solution:

10. Water is flowing at the rate of 3 Km/h through a circular pipe of 20 cm internal diameter into a circular cistern of diameter 10 m and depth 2 m. In how much time will the cistern be filled?

1 hour

1 hour 40 mins

1 hour 20 mins

2 hour 40 mins

Solution:

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