QUANT : QUIZ

1. 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 weights 8 gms/cubic cm, then the weight of the pipe is

A) 3.6 kg

B) 3.696 kg

C) 36 kg

D) 36.9 kg

2.A rectangular block 6 cm by 12 cm by 15 cm is cut up into an exact number of equal cubes. Find the least possible number of cubes.

A) 30

B) 40

C) 10

D) 20

3. The curved surface area of a cylindrical pillar is 264 sq.m and its volume is 924 cub.m. Find the ratio of its diameter to its height

A) 3 : 7

B) 7 : 3

C) 6 : 7

D) 7 : 6

4.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) 50 m^2

C) 53.5 m^2

D) 55 m^2

5.How many cubes of 3cm edge can be cut out of a cube of 18cm edge

A) 36

B) 232

C) 216

D) 484

6.If each edge of a cube is increased by 50%, find the percentage increase in Its surface area

A) 125%

B) 150%

C) 175%

D) 110%

7. The volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is 12.8 cu. meters. Find the breadth of the wall.

A) 40cm

B) 30cm

C) 20cm

D) 10cm

8. 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:

A) 90 cm

B) 1 dm

C) 1 m

D) 1.1 cm

9. 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 , then the rise in the water level in the tank will be:

A) 20 cm

B) 25 cm

C) 35 cm

D) 50 cm

10.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) 720

B) 900

C) 1200

D) 1800

Answers 
1.B
External radius = 4 cm,
Internal radius = 3 cm.
Volume of iron =  22/7*(4*4-3*3)= 462cm^3 
Weight of iron = (462 x 8)gm = 3696 gm = 3.696 kg

2.B
3.B
4.A
Area of the wet surface = [2(lb + bh + lh) - lb]
= 2(bh + lh) + lb
= [2 (4 x 1.25 + 6 x 1.25) + 6 x 4] m^2
= 49 m^2.

5.C
number of cubes=(18 x 18 x 18) / (3 x 3 x 3) = 216

6.A

7.A
Let the breadth of the wall be x metres.
Then, Height = 5x metres and Length = 40x metres.
x * 5x * 40x = 12.8
X^3 = 12./200= 64/1000 
X= 4/10m*100 = 40 cm

8.B



9.B 

10. c
2(15+12)*h = 2(15*12)
h = 180/27= 20/3m
volume (15*12*20/3)=1200 m^3