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Mensuration Questions

Practice 98 Mensuration questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

📚
98
Total Questions
🟢
6
Easy
🟡
89
Medium
🔴
3
Hard
Practice by Exam:Quantitative Aptitude(94)Quantitative Aptitude@NUM: 54(1)Quantitative Aptitude@NUM: 52(1)Quantitative Aptitude@NUM: 61(1)Quantitative Aptitude@NUM: 62(1)

About Mensuration — practice questions, PYQs & concepts

Mensuration is a frequently-tested topic on Quantitative Aptitude, Quantitative Aptitude@NUM: 54, Quantitative Aptitude@NUM: 52. ExamTest.live currently lists 98 Mensuration questions spanning previous-year papers from 2026 to 2026, each with worked solutions and a step-by-step explanation. Use the filters on this page to focus on a specific exam, difficulty level or year — every answer key is free, no sign-up required.

Mensuration weight in competitive exams

Across our Mensuration question bank, the largest sources are Quantitative Aptitude (94), Quantitative Aptitude@NUM: 54 (1), Quantitative Aptitude@NUM: 52 (1), Quantitative Aptitude@NUM: 61 (1) and Quantitative Aptitude@NUM: 62 (1). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 6 easy Mensuration questions are available — build fluency before moving up.
  • Target weak years: Use the year filter to focus on the most recent 2026 paper or older PYQs you have not attempted.
  • Time yourself: Every question shows the average solve time so you can benchmark your speed against other students.
  • Read every explanation: Even on questions you got right — the explanation often surfaces a faster approach you can reuse.

All Mensuration Questions(1–98 of 98)

Filter:
Q1easymcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
14% accuracy
The area of a circle is . Find its circumference (in ). (Use )
Q2mediummcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
7% accuracy
If the radius of a sphere is increased by , then what is the percentage (correct to two decimal places) increase in its volume?
Q3mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The surface area (in ) of a sphere, whose diameter is , is: (Take )
Q4mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
A rectangular field has its length and breadth in the ratio of respectively. A man riding a bicycle completes one lap of this field along its perimeter at the speed of in . What is the area of the field?
Q5mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
A right triangle with sides 5cm,12cm and 13cm is rotated about the side 12cm to form a cone. The volume of the cone so formed is:
Q6mediummcqQuantitative AptitudeSSC CGL2026
50% accuracy
What is the radius of a sphere having a volume of 38808cm
3
? (Use π=
7
22
​
)
Q7mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The slant height of a right circular cone is 15m and its height is 9m. The area of its curved surface is:
Q8mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
A hollow copper pipe is 22cm long and its external diameter is 28cm. If the thickness of the pipe is 3cm and iron weighs 8.5g/cm
3
, then the weight of the pipe is closest to:
Q9mediummcqQuantitative AptitudeCompetitive Exam 20262026
50% accuracy
The difference between the total surface area and lateral surface area of a cube, if side of the cube is 11cm (in square cm), is ___________.
Q10hardmcqQuantitative AptitudeCompetitive Exam Practice Paper2026
0% accuracy
If you have a regular icosahedron and you slice it along a plane that intersects six of its faces, what is the shape of the resulting cross-section?
Q11mediummcqQuantitative AptitudeSSC CPO 20242026
0% accuracy
How many meters of cloth will be required to make a conical tent whose base radius is and height is ? The width of the cloth is . (Take )
Q12mediummcqQuantitative AptitudeSSC CPO 20242026
0% accuracy
What is the total surface area of a cone whose radius is and slant height is ?
Q13mediummcqQuantitative AptitudePrepp2026
0% accuracy
The rim (circular boundary) of a hemispherical bowl is . Assuming the bowl is completely filled, how many people can be served if the content is distributed into hemispherical glasses, where each glass has a top diameter of ? (Take )
Q14mediummcqQuantitative AptitudePrepp2026
0% accuracy
The base of a parallelogram is twice its height. If the area of the parallelogram is , then find its height (in ).
Q15mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
Find the cost of carpeting a and room with a carpet, if the price of the carpet is ₹ per meter (not considering the cost of labour).
Q16mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
The number of balls of radius that can be made from a solid sphere of radius is:
Q17mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
The area of a rectangle with a length of is the same as that of a square with a side of . Find the width of the rectangle.
Q18mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
Calculate the area of a rectangle whose length is and width is .
Q19mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
A rhombus has a perimeter of . Find the length of each side of the rhombus.
Q20mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The lateral surface area of a cylinder is 3862.2cm
2
and its height is 15cm. Find its volume (take π=3.14) correct to one decimal place.
Q21mediummcqQuantitative AptitudeSSC Selection Post 2018 Higher Secondary Level2026
0% accuracy
एक समबा हु त्रि भुज की भुजा 12 सेमी है। समबा हु त्रि भुज का परि मा प ज्ञा त की जि ये जि सकी भुजा पहले त्रि भुज की दो गुनी है।
Q22mediummcqQuantitative AptitudeSSC Selection Post 2018 Higher Secondary Level2026
0% accuracy
3 सेमी ऊंचा ई और 5 सेमी त्रि ज्या वा ले एक बेलना का र सतह को चा रों ओर सेलो टेप लगा ना है। यदि सेलो टेप की चौ ड़ा ई 8 सेमी है तब बेलन को एकबा र लपेटने के लि ए सेलो टेप की न्यूनतम लंबा ई क्या है?
Q23mediummcqQuantitative AptitudePrepp2026
0% accuracy
If the radius of a sphere is , then find the volume of the sphere.
Q24hardmcqQuantitative AptitudeSSC CGL2026
0% accuracy
A sphere and a cube have equal surface areas. The ratio of the volume of the sphere to that of the cube is:
Q25mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The diagonal of a cubical block of wood is
192

​
cm. Find its volume.
Q26mediummcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
100% accuracy
The area of a triangular plot, whose sides are 100m, 105m and 145m, is equal to a rectangular field, whose sides are in the ratio 7:10. The perimeter (in m) of the rectangular field is:
Q27mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The length of cold storage of cuboidal shape is double its breadth and its height is half of its breadth. If its volume is 216m
3
, then what are the dimensions of the cold storage?
Q28mediummcqQuantitative AptitudeSSC Selection Post 20212026
0% accuracy
A field is in the shape of a rhombus. Its perimeter is 584 m and the length of one of its diagonals is 220 m. What is the area (in m
2
) of the field?
Q29mediummcqQuantitative AptitudeCompetitive Exam2026
Find the maximum length of a rod, that can be placed in a room of dimension 12m×12m×14m.
Q30mediummcqQuantitative AptitudeCompetitive Exam2026
A circle has a radius of . What is the circumference of the circle? (Use )
Q31mediummcqQuantitative AptitudeCompetitive Exam2026
The total surface area of a cube is . What is the length of its diagonal?
Q32mediummcqQuantitative AptitudeCompetitive Exam2026
Which of the following best describes the perimeter of a shape?
Q33mediummcqQuantitative AptitudeCompetitive Exam2026
A cube has a surface area of 5400square units. Its volume would increase approximately _______ if the side is increased by 5units.
Q34mediummcqQuantitative AptitudeCompetitive Exam2026
The volume of a solid sphere is 4851 m
3
. What is the surface area of the sphere? (Take π=
7
22
​
)
Q35mediummcqQuantitative AptitudeCompetitive Exam2026
The ratio between the perimeter and the breadth of a rectangle is 3:1. If the area of the rectangle is 310 sq. cm, the length of the rectangle is nearly:
Q36mediummcqQuantitative AptitudeCompetitive Exam2026
A solid metallic sphere of radius 4 cm is melted and recast into 4 identical cubes. What is the side of the cube?
Q37hardmcqQuantitative AptitudeCompetitive Exam Practice2026
If the semi-perimeter and area of a rectangular field whose length and breadth are 'x' and 'y' is 12cm and 28cm
2
, respectively, then find the value of x
4
+x
2
y
2
+y
4
.
Q38mediummcqQuantitative Aptitude@NUM: 62SSC CGL2026
The diagonal of a rectangular field is and its area is . What is the cost of fencing the field at per ?
Q39mediummcqQuantitative Aptitude@NUM: 61SSC CGL2026
The volume of a right circular cone is . If the radius of its base is , then its curved surface area (in ) is: (Take )
Q40mediummcqQuantitative Aptitude@NUM: 52SSC CGL2026
How many spherical balls each of radius can be made out of a solid metallic cube of edge ? (Take )
Q41easymcqQuantitative AptitudeSSC CGL2026
The largest sphere is carved out of a cube of side . What is the volume of the sphere in ? (Take )
Q42mediummcqQuantitative AptitudeSSC CGL2026
A sector is cut from a circle of diameter . If the angle of the sector is , then what is its area in ? (Take )
Q43mediummcqQuantitative AptitudeSSC CGL2026
A circus tent is cylindrical to a height of and conical above it. If the radius of the base is and the slant height of the cone is , then the total area of the canvas required to make it is:
Q44mediummcqQuantitative AptitudeCompetitive Exam2026
Find the total surface area of a cube whose volume is 64cm
3
.
Q45mediummcqQuantitative AptitudeCompetitive Exam2026
The length and breadth of a painting are 15cm and 10cm respectively. A 1cm wide border is made around the painting. What is the area of the border?
Q46mediummcqQuantitative AptitudeCompetitive Exam2026
What is the perpendicular distance (in cm) between the parallel sides of a trapezium whose area is 108sq cm and the lengths of the parallel sides are 9cm and 36cm?
Q47mediummcqQuantitative AptitudeCompetitive Exam Practice2026
The area of a sector of a circle is 88cm
2
and the angle of the sector is 36
∘
. Find the radius (in cm) of the circle. [Use π=
7
22
​
.]
Q48mediummcqQuantitative AptitudeCompetitive Exam Practice2026
Find the area (in cm
2
) of a circle with a maximum radius that can be inscribed in a rectangle of length 18cm and breadth 12cm.
Q49mediummcqQuantitative AptitudeCompetitive Exam2026
The radii of the two spheres are in the ratio 4:3. What is the ratio between their volumes?
Q50mediummcqQuantitative AptitudeCompetitive Exam Practice2026
The area of the rhombus (in cm
2
) having each side equal to 13cm and one of its diagonals equal to 24cm is:
Q51mediummcqQuantitative AptitudePractice Test2026
A triangle has a base of and a height of . What is the area of the triangle?
Q52mediummcqQuantitative AptitudeCompetitive Exam2026
If the radius of a sphere is increased by 2cm, its surface area increases by 704cm
2
. What was the radius of the sphere before the increase? (Use π=
7
22
​
)
Q53mediummcqQuantitative AptitudePrepp2026
A copper sphere of diameter is drawn into a wire of diameter . What is the length (in ) of the wire? (Where )
Q54mediummcqQuantitative AptitudeCompetitive Exam2026
The height of one cone is 3 times the height of another cone, while its radius is half of the radius of the other cone. If their total volume is 100unit
3
, then the difference in the volumes of the cones is _______ unit
3
.
Q55mediummcqQuantitative AptitudeCompetitive Exams2026
The radius of a hemisphere is 9cm. Its volume will be:
Q56mediummcqQuantitative AptitudeCompetitive Exams2026
If the cylinder height is 9cm and the base area is 25πcm
2
, then find the total surface area.
Q57mediummcqQuantitative AptitudeCompetitive Exams2026
The diagonal of a cube is 5
3

​
cm. Find the surface area of the cube.
Q58mediummcqQuantitative AptitudePractice Test2026
A sphere has a radius of . What is its volume? (Use )
Q59mediummcqQuantitative AptitudePractice Test2026
A square area is enclosed by fencing. If the total length of the fencing is , find the area of the square.
Q60mediummcqQuantitative Aptitude@NUM: 54Competitive Exam2026
A rectangle of length and breadth is rotated about its shorter side to form a cylinder. What is the volume (in ) of the cylinder so generated? (Take )
Q61mediummcqQuantitative AptitudeCompetitive Exam2026
Three solid iron cubes of edges 8 cm, 10 cm and 12 cm are melted together to make a new cube. It is observed that 496 cm³ of the melted material is lost due to improper handling. The area (in cm²) of the whole surface of the newly formed cube is:
Q62mediummcqQuantitative AptitudeCompetitive Exam2026
Find the area of a right angle whose base is 15 cm and hypotenuse is 17 cm.
Q63mediummcqQuantitative AptitudeCompetitive Exam2026
The ratio of length and breadth of a rectangle is and its perimeter is . What is the length of its diagonal (in cm)?
Q64mediummcqQuantitative AptitudeCompetitive Exam2026
If each side of a square field is increased by , then by what percentage has the area of the field increased?
Q65mediummcqQuantitative AptitudeSSC CGL2026
The surface area of a sphere is 2464 cm
2
. Calculate its volume. (Use π=
7
22
​
)
Q66mediummcqQuantitative AptitudePrepp2026
A hemispherical bowl is round the brim. Assuming it to be full, how many persons may be served from it in hemispherical glasses, in diameter at the top? (Where )
Q67mediummcqQuantitative AptitudePrepp2026
How many metres of cloth will be required to make a conical tent, the radius of whose base is and height is , if the width of the cloth is ? (Where )
Q68mediummcqQuantitative AptitudePrepp2026
The base of a parallelogram is twice its height. If the area of the parallelogram is , then find its height (in ).
Q69mediummcqQuantitative AptitudePrepp2026
What is the total surface area of a cone whose radius is and slant height is ?
Q70easymcqQuantitative AptitudeCompetitive Exam2026
If the surface areas of two spheres are in the ratio of 9: 49, then the ratio of their volumes is:
Q71mediummcqQuantitative AptitudeCompetitive Exam2026
The square of the diagonal of a cube is 2346 cm
2
. What is the total surface area (in cm
2
) of the cube?
Q72mediummcqQuantitative AptitudeCompetitive Exam2026
The ratio of the length and breadth of a rectangular garden is 14: 11 and its perimeter is 800 m. Its area is equal to the area of a circular field. What is the perimeter (in m) of the circular field? (Take π=
7
22
​
)
Q73mediummcqQuantitative AptitudeCompetitive Exam2026
The volume of a cube is 64cm
3
. The total surface area of the cube is:
Q74mediummcqQuantitative AptitudeCompetitive Exam2026
Half the perimeter of a rectangular garden, whose length is 8cm more than its width, is 42cm. Find the area of the rectangular garden.
Q75mediummcqQuantitative AptitudeCompetitive Exam2026
If the radius of a right circular cone is increased by 20% and its height is decreased by 25%, then the volume of the right circular cone will be increased by:
Q76mediummcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
Six solid cubes, each of side , are melted to form a rectangular solid of base area . The lateral surface area (in ) of the resulting solid is:
Q77easymcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
Find the area (in m
2
) of the rectangular field, one of whose sides is 35m and a diagonal is 37m.
Q78easymcqQuantitative AptitudeCompetitive Exam2026
What is the area of a triangle with base and height ?
Q79mediummcqQuantitative AptitudeAdda2472026
When a cone is sliced by a plane parallel to its base, but not passing through its apex, what is the shape of the resulting cross-section?
Q80mediummcqQuantitative AptitudePrepp2026
The volume of a cube is four times the volume of a cuboid. If the sides of the cuboid are , and , then find the ratio of the total surface area of the cube to that of the cuboid.
Q81mediummcqQuantitative AptitudeSSC Competitive Exams2026
If the volume of spheres are 27: 8, then their ratio of surface areas is:
Q82mediummcqQuantitative AptitudeSSC Competitive Exams2026
The radius of a cylinder is 7 feet. Find the total surface area of the cylinder if the height of the cylinder is 14 feet. (Use π=
7
22
​
)
Q83mediummcqQuantitative AptitudeSSC Competitive Exams2026
The volume of a right circular cylinder of base radius r is obtained by multiplying its curved surface area by:
Q84mediummcqQuantitative AptitudePractice Mock2026
The perimeter of the rectangle is 280m and the difference between its two sides is 40m. Find the side of a square whose area is equal to the area of this rectangle.
Q85mediummcqQuantitative AptitudePractice Mock2026
A hemisphere has 14cm diameter. Find its volume.
Q86mediummcqQuantitative AptitudeSSC GD Constable2026
What is the difference between the total surface area and the curved surface area of a hemisphere when the radius is 6.3cm? (Take π=
7
22
​
)
Q87mediummcqQuantitative AptitudeSSC GD Constable2026
A cone with radius 7m is 6m high. Find the volume (in m
3
) of the cone. (Take π=
7
22
​
)
Q88mediummcqQuantitative AptitudePrepp2026
The length of the largest possible rod that can be placed in a cubical room is . The surface area (in ) of the largest possible sphere that fit within the cubical room is: [Use ]
Q89mediummcqQuantitative AptitudeD.ZU-242026
What is the area of a triangle with a base of and a height of ?
Q90mediummcqQuantitative AptitudeSSC CGL2026
A hemispherical bowl has a 21 cm radius. It is to be painted inside as well as outside. The cost of painting it at the rate of ₹0.05 per cm
2
and assuming that the thickness of the bowl is negligible, is: (Use π=
7
22
​
)
Q91mediummcqQuantitative AptitudePrepp2026
Find the total surface area of a hemisphere with a radius of ?
Q92mediummcqQuantitative AptitudePrepp2026
Find the area of a minor sector of a circle whose circumference is and the length of its minor arc is (use ).
Q93mediummcqQuantitative AptitudePrepp2026
The volumes of two spheres are in the ratio of . The ratio of their surface areas is:
Q94mediummcqQuantitative AptitudePrepp2026
What is the length of the arc of a circle whose radius is and whose arc subtends an angle of at the centre of the circle?
Q95easymcqQuantitative AptitudeStaff Selection Commission2026
Find the surface area of a ball of radius 21 mm. (Use π=
7
22
​
)
Q96mediummcqQuantitative AptitudeCompetitive Exam2026
The dimensions of a pond are 20m, 14m and 6m. Find the capacity of the pond.
Q97mediummcqQuantitative AptitudeCompetitive Exam2026
The radius and height of a cylinder are in the ratio 7:13 and its volume is 6006 cm
3
. Its radius will be: (Use π=
7
22
​
)
Q98mediummcqQuantitative AptitudeCompetitive Exam2026
How many cubes of length 50 cm can be accommodated in a container of 5 m in length, 2 m in width and 5 m in height?

Frequently Asked Questions

How many Mensuration questions are on ExamTest.live?▼
We have 98 Mensuration questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Mensuration MCQs free?▼
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Which exams include Mensuration questions?▼
Mensuration questions are commonly asked in Quantitative Aptitude, Quantitative Aptitude@NUM: 54, Quantitative Aptitude@NUM: 52, Quantitative Aptitude@NUM: 61, Quantitative Aptitude@NUM: 62. You can filter by exam using the links above.
How do I practice Mensuration questions effectively?▼
Start with easy questions to build confidence, then tackle medium and hard ones. Use the filter buttons to sort by difficulty. Reveal the answer only after attempting each question, and read the explanation thoroughly.