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

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Question 1

The perimeter of a regular hexagon with area of 21 sqrt 3 cm^2 is:


  • 12 √ 3

  • 6 √ 14

  • 9√ 3

  • 7 √ 15

Question 2

A cone and sphere has the same radius of 18cm. If the cone and the sphere have the same volume,then what is the height (in cm ) of the cone ?

  • 66

  • 60

  • 54

  • 72

Question 3

A wall is of 10m 73cm in length and 6 m 67cm in height, Find the least number of square boxes of equal size required to paint the entire wall completely.

  • 851

  • 861

  • 855

  • 865

Question 4

A closed box measures externally 90 cm long, 60 cm wide and 45 cm high and it’s made of wood 2.5 cm thick. What is the cost of lining it on the inside with metal at Rs.3 per dm3?

  • Rs. 572.50

  • Rs. 642.50

  • Rs. 594.50

  • Rs. 616.50

Question 5

Two metallic right circular cones with heights of 4.9 cm and 4.7 cm and radii of their bases 2.4 cm each, have been melted together and recast into a sphere. What is the diameter of the sphere?

  • 5.6 cm

  • 5.2 m

  • 4.8 cm

  • 6.2 cm

Question 6

The length of a rectangle is increased by 331/3%. By what percent must the breadth be decreased so as to maintain its area the same?

  • 20 %

  • 30 %

  • 25 %

  • 24 %

Question 7

Four cows are tethered at four corners of a square plot of side 28 meters such that the adjacent cows can just reach one another, this is a small circular pond of area 40m^2 at the center, which is the area that is left ungrazed.

  • 40 m2

  • 136 m2

  • 154 m2

  • 136m2

Question 8

If the area of the triangle with base 16cm is equal to the area of square with side 14cm, then what is the altitude of the triangle in cm?

  • 24.5

  • 28.0

  • 21.4

  • 26.2

Question 9

An oblong piece of ground measures 19m 2.5 dm by 12m5dm. From center of each side of the ground, a path 2m wide goes across to the center of the opposite side. What is the area of the path?


  • 59.5 m2

  • 54 m2

  • 78.65 m2

  • 34 m2

Question 10

n triangle PQR, PQ-6 cm, PR=8 cm, and QR-12 cm. Calculate the area of the triangle PQR


  • 23.33 cm2

  • 175 cm2

  • 21.33 cm2

  • 28.67 cm2

There are 15 questions to complete.

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