Q1.

The Length, breadth and height of a room are 5 m, 4 m and 3 m respectively . Find the cost of white washing the walls of the room and the ceiling at the rate of Rs 7.50 m2 . 

  • Rs. 750

  • Rs. 555

  • Rs. 666

  • Rs. 350

Solution:

NA

Q2.

The paint in a certain container is sufficient to paint on area equal to 9.375 m2 . How many bricks of dimension  22.5 cm x 10 cm x 7.5 cm can be painted out of this container ?

  • 98  bricks 

  • 50  bricks 

  • 110  bricks 

  • 100 bricks 

Solution:

NA 

Q3.

If A1 ,A2 and  A3 denote the areas of three adjacent faces of a cuboid , then its volume is : 

  • A1 A2  A3 

  • 2 A1 A2  A3 

  • (A1  x A2 x A3 )1/2

  • (A1  x A2 x A3 )1/3

Solution:

NA

Q4.

If each edge of a cube is increased by 50%, the percentage increase in its surface area is 

  • 50%

  • 75%

  • 100%

  • 125%

Solution:

NA

Q5.

A cube whose volume is 1/8 cubic centimeter is placed on the top of the cube whose volume is 1 cm3. The two cubes are then placed on the top of the third cube whose volume is 8  cm3 . The height of the stacked cubes is 

  • 3.5 cm

  • 3 cm

  • 7 cm

  • none of these 

Solution:

NA 

Q6.

On a particular day, the rain fall recorded in a terrrace 6 m long and 5 m broad is 15 cm. The quantity of water collected in the terrace is : 

  • 300 litres 

  • 450  litres 

  • 2000  litres 

  • 4500  litres 

Solution:

NA 

Q7.

Two cylindrical jars have their diameter in the ratio 3:1 , but height  1:3 . Then the ratio of there volume is  

  • 1:4

  • 1:3

  • 3:1

  • 2:5

Solution:

NA

Q8.

In a cylinder , if radius is halved and height is doubled, the volume will be 

  • same

  • doubled

  • halved

  • four times

Solution:

NA

Q9.

The altitude of a circular cylinder is increased six times and the base area is decreased one-ninth of its value . The factor by which the lateral surface of the cylinder increases, is 

  • 2/3

  • 1/2

  • 3/2

  • 2

Solution:

NA

Q10.

The slant height of a cone is increased by 10% . If the radius remains the same, the curved surface area is increased by 

  • 10%

  • 12.1%

  • 20%

  • 21%

Solution:

NA

Q11.

A right circular cylinder and a right circular cone have the same radius and the same volume . The ratio of the height of the cylinder to that of the cone is 

  • 3:5 

  • 2 : 5

  • 3 : 1

  • 1 : 3

Solution:

NA

Q12.

If the height of two cones are in the ratio of 1:4 and the radii of their bases are in the ratio 4 : 1 then the ratio of their volume is  

  • 1:2

  • 2:3

  • 3:4

  • 4:1

Solution:

NA

Q13.

A sphere and a cube are of the same height . The ratio of their volumes is 

  • 3 : 4

  • 21 : 11 

  • 4 : 3 

  • 11 : 21

Solution:

NA

Q14.

The ratio between the volume of a sphere and volume of a circumscribing right circular cylinder is 

  •  2 : 1

  • 1 : 1

  • 2 : 3 

  • 1 : 2

Solution:

NA

Q15.

If a solid sphere of radius r is melted and cast into the shape of a solid cone of height r, then the radius of the base of the cone is 

  • 2r

  • 3r

  • r

  • 4r

Solution:

NA

Q16.

A cone , a hemisphere and a cylinder stand on equal bases and have the same height . The ratio of their volumes is  

  • 1 : 2 : 3 

  • 2 : 1 : 3 

  • 2 : 3 : 1

  • 3 : 2 : 1 

Solution:

NA

Q17.

The area of cross-section of a pipe is 5.4 cm2 and water is pumped out of it at the rate of 27km/h. Find in litres the volume of water which flows out of the pipe in one minute .  

  • 243 litres

  • 234  litres

  • 200 litres

  • 250 litres

Solution:

NA

Q18.

A cuboid has length, breadth and diagonal as 4 m, 3 m, and 13 m respectively . Find its volume . 

  • 244 m3

  • 150 m3

  • 144 m3

  • 134 m3

Solution:

NA

Q19.

A cylinder is with in the cube touching all the vertical faces. A cone is inside the cylinder . If their heights are same with the same base, find the ratio of their volumes . 

  • 42 : 33 : 11

  • 22 : 33 : 44

  • 11 : 55 : 22 

  • 33 : 22 : 55

Solution:

NA

Q20.

If the radius of the base of a right circular cone is 3r and its height is equal to the radius of the base, then its volume is 

  • \({1 \over3}\pi r^3\)

  • \({2 \over3}\pi r^3\)

  • \(3 \pi r^3\)

  • \(9 \pi r^3\)

Solution:

NA