Quant : Quiz

1. Find the number of bricks, each measuring 24 cm x 12 cm x 8 cm, required to construct a wall 24 m long, 8m high and 60 cm thick, if 10% of the wall is filled with mortar?

A) 35000

B) 45000

C) 55000

D) 65000

2. How many bricks each measuring 25cm x 11.25cm x 6cm, will be needed to build a wall 8m x 6m x 22.5m

A) 5600

B) 600

C) 6400

D) 7200

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

A) 75 m3

B) 750 m3

C) 7500 m3

D) 75000 m3

4. A cuboidal block 6cmx9cmx12cm is cut up into an exact number of equal cubes.The least possible number of equal cubes will be

A) 6

B) 9

C) 24

D) 30

5. A rectangular box measures internally 1.6m long, 1m broad and 60cm deep. The number of cubical box each of edge 20cm that can be packed inside the box is:

A) 30

B) 60

C) 90

D) 120

6. Find the ratio of the surfaces of the inscribed and circumscribed spheres about a cube.

A) 1:2

B) 1;3

C) 1:4

D) 1:5

7. If the volume of the cube is 729cm^3, then the surface area of the cube will be

A) 486cm^2

B) 456cm^2

C) 446cm^2

D) 476cm^2

 8. 66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:

A) 84

B) 90

C) 168

D) 336

9. 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 8m, the volume of the box (in m3) is:

A) 4830

B) 5120

C) 6420

D) 8960

10. The diagonal of the floor of a rectangular closet is 7 1/2 feet. The shorter side of the closet is 4 1/2 feet. What is the area of the closet in square feet?

A) 5 1/4

B) 13 1/2

C) 27

D) 37

Answers:

1.B

Volume of the wall = (2400 x 800 x 60)   cm^3

Volume of bricks   = 90% of the volume of the wall= [(90/100) x 2400 x 800 x 60] cm^3

Volume of 1 brick = (24 x 12 x 8)   cm^3

Number of bricks=(90/100) x (2400 x 800 x 60) / (24 x 12 x 8)=45000

2.C

no. of bricks= volume of the wall/volume of 1 brick = (800 x 600 x 22.5) / (25 x 11.25 x 6) = 6400

3.B

4.C

Volume of block=(6x9x12) cm^3 = 648 cm^3

Side of largest cube = H.C.F of 6,9,12 = 3cm

Volume of the cube=(3x3x3)=27 cm^3

Number of cubes=(648/27)=24

5. D

6. A

7. A

8. A

9. B

10.c