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RRB NTPC Geometry & Mensuration — practice questions

Explore 57 free Geometry & Mensuration questions in RRB NTPC Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Geometry & Mensuration questions and exercises with answers

Showing questions 1–30 of 57.

A rectangular hall is 12 m long and 9 m wide. What is its floor area?Read the answer and worked solution →A square field has a side of 15 m. What is its area?Read the answer and worked solution →A triangle has a base of 14 cm and a height of 9 cm. What is its area?Read the answer and worked solution →A parallelogram has base 18 cm and height 7 cm. Find its area.Read the answer and worked solution →A trapezium has parallel sides 10 cm and 16 cm, and they are 8 cm apart. Find its area.Read the answer and worked solution →The diagonals of a rhombus measure 16 cm and 30 cm. What is its area?Read the answer and worked solution →Taking pi as 22/7, what is the area of a circle of radius 7 cm?Read the answer and worked solution →A circle has circumference 44 cm. Using pi = 22/7, find its radius.Read the answer and worked solution →A right triangle has legs of 9 cm and 12 cm. What is its perimeter?Read the answer and worked solution →What is the volume of a cube whose edge is 6 cm?Read the answer and worked solution →Find the total surface area of a cube of edge 5 cm.Read the answer and worked solution →A cuboid measures 8 cm by 5 cm by 4 cm. What is its volume?Read the answer and worked solution →What is the longest diagonal of a cuboid measuring 3 cm by 4 cm by 12 cm?Read the answer and worked solution →With pi = 22/7, find the volume of a cylinder of radius 7 cm and height 10 cm.Read the answer and worked solution →If a cylinder's radius is doubled and height kept the same, its volume becomes how many times?Read the answer and worked solution →A cylinder's radius is doubled and its height is halved. What happens to its volume?Read the answer and worked solution →A cone has base radius 6 cm and height 8 cm. What is its slant height?Read the answer and worked solution →Find the total surface area of a cone with r = 7 cm and l = 25 cm (pi = 22/7).Read the answer and worked solution →A cone and a cylinder share the same base and height. The cone's volume is what part of the cylinder's?Read the answer and worked solution →A cone with radius 7 cm has volume 154 cm³ (pi = 22/7). What is its height?Read the answer and worked solution →Find the surface area of a sphere of radius 7 cm (pi = 22/7).Read the answer and worked solution →Using pi = 22/7, find the volume of a solid hemisphere of radius 21 cm.Read the answer and worked solution →Two spheres have radii in the ratio 1:2. What is the ratio of their surface areas?Read the answer and worked solution →Archimedes found a sphere's volume is what part of its circumscribed cylinder's volume?Read the answer and worked solution →A sphere inscribed in a cube fills about what share of the cube's volume?Read the answer and worked solution →Which solid has the least surface area for a given enclosed volume?Read the answer and worked solution →Among closed plane figures with the same perimeter, which has the largest area?Read the answer and worked solution →A cube has total surface area 294 cm². What is its volume?Read the answer and worked solution →A toy is a cone fixed on a hemisphere. Its paintable surface equals what?Read the answer and worked solution →The volume of a solid formed by joining two solids equals what?Read the answer and worked solution →

Worked practice questions

A rectangular hall is 12 m long and 9 m wide. What is its floor area?

  1. 42 m²
  2. 21 m²
  3. 96 m²
  4. 108 m²
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Correct answer: D. 108 m²

Area of a rectangle is length times width, so 12 x 9 = 108 square metres.

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A square field has a side of 15 m. What is its area?

  1. 30 m²
  2. 60 m²
  3. 150 m²
  4. 225 m²
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Correct answer: D. 225 m²

A square of side s has area s squared, and 15 x 15 = 225 square metres.

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A triangle has a base of 14 cm and a height of 9 cm. What is its area?

  1. 63 cm²
  2. 56 cm²
  3. 126 cm²
  4. 23 cm²
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Correct answer: A. 63 cm²

Triangle area is half of base times height, so 0.5 x 14 x 9 = 63 square centimetres.

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