Q.1

Find the length of the longest pole that can be placed in a room 12 m long 8m broad and 9m high.

  • 14m
  • 15m
  • 16m
  • 17m
Q.2

A cuboidal block 6cm x 9cm x 12cm is cut up into an exact number of equal cubes.The least possible number of equal cubes will be

  • 6
  • 9
  • 24
  • 30
Q.3

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 8g/cu.cm, then the weight of the pipe is

  • 3.6 kg
  • 3.696 kg
  • 36 kg
  • 36.9 kg
Q.4

There is a cylinder circumscribing the hemisphere such that their bases are common. Find the ratio of their volumes

  • 3/2
  • 5/2
  • 7/2
  • 9/2
Q.5

The capacity of a tank of dimensions (8m x 6m x 2.5m)is

  • 120 litres
  • 1200 litres
  • 12000 litres
  • 120000 litres
Q.6

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:

  • 30
  • 60
  • 90
  • 120
Q.7

In the figure AMB = 130°, then what is the value (in deg) of ABQ?

 

  • 40
  • 50
  • 60
  • 90
Q.8

What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?

  • 344.35 sq.cm
  • 462 sq.cm
  • 498.35 sq.cm
  • None of these
Q.9

The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles  ?

  • 2413 sq.m
  • 1234 sq.m
  • 4312 sq.m
  • 2143 sq.m
Q.10

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:

  • 49
  • 50
  • 53.5
  • 55
Q.11

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?

  • 35000
  • 45000
  • 55000
  • 65000
Q.12

A large cube is formed from the material obtained by melting three smaller cubes of 3,4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?

  • 2 : 1
  • 3 : 2
  • 25 : 18
  • 27 : 20
Q.13

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

  • 5600
  • 6000
  • 6400
  • 7200
Q.14

If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in sq.cm) is ?

  • 100 π
  • 101/π
  • 99 π/12
  • 54/13π
Q.15

The diagonal of a cube is 63 cm. Find its  surface area

  • 216 sq.cm
  • 316 sq.cm
  • 416 sq.cm
  • 516 sq.cm
Q.16

The size of the wooden block is 5 x 10 x 20 cm .How many such blocks will be required to construct a solid wooden cube of minimum size? 

  • 6
  • 8
  • 12
  • 16
Q.17

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:

  • 4830
  • 5120
  • 6420
  • 8960
Q.18

How many cubes of 10cm edge can be put in a cubical box of 1m edge

  • 10
  • 100
  • 1000
  • 10000
Q.19

The diagonal of a rectangle is sqrt(41) cm.  and its area is 20 sq. cm. The perimeter of the rectangle must be:

  • 9 cm
  • 18 cm
  • 20 cm
  • 41 cm
Q.20

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:

  • 12 pi cub.cm
  • 15 pi cub.cm
  • 16 pi cub.cm
  • 20 pi cub.cm
Q.21

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:

  • 90 cm
  • 1 dm
  • 1 m
  • 1.1 cm
Q.22

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

  • 5600
  • 600
  • 6400
  • 7200
Q.23

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

  • 40pi sq.m
  • 50pi sq.m
  • 60pi sq.m
  • 70pi sq.m
Q.24

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:

  • 720
  • 900
  • 1200
  • 1800
Q.25

Ratio between heights of two cylinder in the ratio 3:Their volumes are in the ratio 27:Find ratio between their radius ?

  • 1:3
  • 2:1
  • 3:4
  • 4:7
0 h : 0 m : 1 s