TCS NQT 2026 || PYQ || APTITUDE || MENSURATION 2D & 3D || CLASS

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Question 1

The edges of a cuboid are in the ratio 1:2:3 and its surface area is 88cm2. The volume of the cuboid is

  • 120 cm3

  • 64 cm3

  • 48 cm3

  • 24 cm3

Question 2

Find the length of the largest rod that can be placed in a room of 16m long, 12m broad and 10 2/3 m high.

  • 23 m

  • 68 m

  • 22 2/3m

  • 22 1/3 m

Question 3

Water flows into a tank which is 200m long and 150m wide, through a pipe of cross-section 0.3m x 0.2m at 20 km/hr. Then the time (in hours) for the water level in the tank to reach level of 8m is.

  • 50

  • 120

  • 150

  • 200

Question 4

Three solid iron cubes of edges 4cm, 5cm and 6cm are melted together to make a new cube. 62cm3 of the melted material is lost due to improper handling. The area (in cm2) of the whole surface of the newly formed cube is.

  • 294

  • 343

  • 125

  • 216

Question 5

The same string, when wound on the exterior four walls of a cube of siden cm, starting at point c and ending at point D, can give exactly one turn. The length of the string in cm is..

  • √2n

  • √17n

  • n

  • √13n

Question 6

A hollow iron pipe is 21 cm long and its exterior diameter is 8cm. If the thickness of the pipe is 1cm and iron weight 8gm/cm3, then the weight of pipe is (π = 22/7)

  • 3.696kg

  • 3.6kg

  • 36kg

  • 36.9kg

Question 7

A right circular cylinder is formed by rolling a rectangular paper 12cm long and 3cm wide along its length. The radius of the base of the cylinder.

  • 3/2π cm

  • 6/π cm

  • 9/2π cm

  • 2π cm

Question 8

A reservoir is supplied water by a pipe 6cm in diameter. How many pipes of 1.5 cm diameter would discharge the same quantity, supposing the velocity of water is same?

  • 8

  • 12

  • 16

  • 20

Question 9

The ratio of the volume of two cones is 2:3 and ratio of their bases is 1:2. The ratio of their heights is ?.

  • 3:8

  • 8:3

  • 4:3

  • 3:4

Question 10

From a circular sheet of paper of radius 10 cm. a sector of area 40% is removed. If the remaining part is used to form a cone. The radius & the higth of the cone will be?

  • 1:2

  • 1:1

  • 3:4

  • 4:3

There are 10 questions to complete.

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