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Mensuration Questions

Practice 270 Mensuration questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

📚
270
Total Questions
🟢
18
Easy
🟡
246
Medium
🔴
6
Hard
Practice by Exam:Quantitative Aptitude(238)Mathematics(12)Mathematics and Science(11)Quantitative Aptitude@NUM: 62(2)General Intelligence & Reasoning(2)Quantitative Aptitude@NUM: 54(1)Quantitative Aptitude@NUM: 52(1)Quantitative Aptitude@NUM: 69(1)

About Mensuration — practice questions, PYQs & concepts

Mensuration is a frequently-tested topic on Quantitative Aptitude, Mathematics, Mathematics and Science. ExamTest.live currently lists 270 Mensuration questions spanning previous-year papers from 2017 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 (238), Mathematics (12), Mathematics and Science (11), Quantitative Aptitude@NUM: 62 (2) and General Intelligence & Reasoning (2). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 18 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(1–100 of 270)

3 pages
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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
3% 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
7% accuracy
The surface area (in ) of a sphere, whose diameter is , is: (Take )
Q4mediummcqQuantitative AptitudeStaff Selection Commission2026
0% accuracy
The total surface area of a hemisphere is 41.58sq cm, find its radius.
Q5mediummcqQuantitative AptitudeStaff Selection Commission2026
0% accuracy
A circle is inscribed in a square. If the length of the diagonal of the square is 14
2

​
cm, what is the area of the circle?
Q6mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
A 70cm wide path is made around a circular garden having a diameter of 14 metres. What is the area of the path (in m
2
)?
Q7mediummcqQuantitative AptitudeCompetitive Exam Practice2026
33% 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).
Q8mediummcqQuantitative AptitudeSSC CGL2026
33% accuracy
What is the radius of a sphere having a volume of 38808cm
3
? (Use π=
7
22
​
)
Q9mediummcqQuantitative AptitudeCompetitive Exam 20262026
33% 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 ___________.
Q10mediummcqQuantitative AptitudeSSC CGL2026
33% accuracy
If the curved surface area of a right circular cone is 10010 sq cm and its slant height is 91 cm, find its total surface area.
Q11mediummcqQuantitative AptitudeSSC CGL2026
33% accuracy
A triangular prism has 9 edges. How many vertices does it have?
Q12mediummcqQuantitative AptitudeCompetitive Exam Practice2026
33% accuracy
The number of balls of radius that can be made from a solid sphere of radius is:
Q13easymcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
The material of a solid right circular cylinder is converted into the shape of a solid cone of equal radius. If the height of the cylinder was 4.5 cm, then the height of the cone is:
Q14mediummcqQuantitative 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?
Q15mediummcqQuantitative AptitudeSSC CGL2026
33% accuracy
Find the ratio of the curved surface area to the total surface area of a cylinder with diameter of base 14 cm and height 10 cm.
Q16easymcqQuantitative AptitudeSSC CGL2026
0% accuracy
A student wants to know the area of a rhombus, one of whose diagonals is 6 cm. He measures another diagonal as 8 cm. What is the area of the rhombus?
Q17mediummcqQuantitative AptitudeCompetitive Exam Practice2026
33% 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 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:
Q19mediummcqQuantitative AptitudeSSC CGL2026
50% accuracy
The total surface area of a hemisphere is 166.32sq cm. Find its curved surface area.
Q20mediummcqQuantitative AptitudeWest Bengal Civil Services2026
0% accuracy
A quadrant of a circle contains a shaded region formed by a circular arc and its bounding radii. What is the ratio of the perimeter of this shaded quadrant region to the total circumference of the original circle?

image
Q21hardmcqQuantitative 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?
Q22mediummcqQuantitative AptitudeWest Bengal Civil Services2026
0% accuracy
If percent increase in radius of cylinder is 300, then volume of the cylinder changes by how much percent? (Keeping height of the cylinder constant)
Q23mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
Curved surface area of a cylinder is 1760sq cm. If the circumference of its base is 88cm, find the volume of the cylinder.
Q24mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
The surface area of a sphere is 2464 cm
2
. Calculate its volume. (Use π=
7
22
​
)
Q25mediummcqQuantitative 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?
Q26mediummcqQuantitative 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:
Q27mediummcqQuantitative 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:
Q28mediummcqQuantitative 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।
Q29mediummcqQuantitative 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?
Q30mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
A rhombus has a perimeter of . Find the length of each side of the rhombus.
Q31mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
Calculate the area of a rectangle whose length is and width is .
Q32mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
The length and breadth of a rectangle are 21 cm and 20 cm respectively. What must be the length of its diagonal (in cm)?
Q33mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
Find the volume (in cm
3
) of a sphere of diameter 21 cm.
Q34hardmcqQuantitative 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:
Q35mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
What is the length of the side of an equilateral triangle, if its area is ?
Q36mediummcqQuantitative AptitudePrepp2026
0% accuracy
If the radius of a sphere is , then find the volume of the sphere.
Q37mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
The perimeter and the length of one of the diagonals of a rhombus are and respectively. Find the length of its other diagonal (in ).
Q38mediummcqMathematicsCompetitive Exam2026
100% accuracy
The ratio of the radii of two circles is . What is the ratio of their areas?
Q39mediummcqMathematicsCompetitive Exam Mock2026
0% accuracy
The length of a rectangle is decreased by 20% while the breadth is increased by 20%. Then the area of the rectangle will
Q40mediummcqMathematicsStaff Selection Commission2026
0% accuracy
Curved surface area of a cylinder is 528sq cm. If the circumference of its base is 44cm, find the height of the cylinder.
Q41mediummcqMathematicsStaff Selection Commission2026
0% accuracy
If the radius of a circle is increased by 15%, its area increases by ____.
Q42mediummcqQuantitative AptitudeStaff Selection Commission2026
0% accuracy
The diagonal of a square is equal to the side of an equilateral triangle. If the area of the square is , what is the area of the equilateral triangle?
Q43mediummcqQuantitative AptitudeStaff Selection Commission2026
0% accuracy
If the curved surface area of a right circular cone is and its slant height is , find its total surface area.
Q44mediummcqQuantitative AptitudeStaff Selection Commission2026
100% accuracy
A dodecahedron has 20 vertices. How many edges does it have?
Q45mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
The perimeter of a square is 40cm, find its area.
Q46mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
The area of an equilateral triangle is . Find the height of the triangle.
Q47mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
Find the length of the arc whose central angle is and the radius of the circle is .
Q48mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
A cone of radius and height is completely filled with water. This water is emptied into an empty cylindrical vessel of radius . What will be the height of water in this vessel?
Q49mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
Find the perimeter (in ) of a semicircle of radius .
Q50mediummcqQuantitative Aptitude@NUM: 69SSC CGL2026
0% accuracy
The length of the diagonal of a square is . What is the area of this square?
Q51mediummcqQuantitative Aptitude@NUM: 62SSC CGL2026
0% accuracy
A circle is inscribed in a square. If the length of the diagonal of the square is , what is the area (in sq cm) of the circle?
Q52easymcqQuantitative AptitudeCompetitive Exam2026
100% accuracy
The diagonal (in ) of a cuboid with dimensions is:
Q53mediummcqQuantitative AptitudePrepp2026
0% accuracy
The base of a parallelogram is twice its height. If the area of the parallelogram is , then find its height (in ).
Q54mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
The volume of a cube is . Find its side (in ).
Q55mediummcqQuantitative Aptitude@NUM: 59SSC CGL2026
0% accuracy
If a cone of radius and height is melted and constructed into a cylinder of the same radius, what will be the height of this cylinder? (Take )
Q56mediummcqQuantitative 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:
Q57mediummcqQuantitative AptitudeSSC CPO 20242026
0% accuracy
What is the total surface area of a cone whose radius is and slant height is ?
Q58mediummcqQuantitative 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 )
Q59mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
A race track is in the shape of a ring whose inner and outer circumferences are 880 m and 1012 m, respectively. What is the area (in m
2
) of the track? (Take π=
7
22
​
)
Q60mediummcqQuantitative 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 )
Q61mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
If V and S denote the volume and Total Surface Area of a cuboid (of sides a,b,c), respectively, then which of the following is true?
Q62mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
A circle and a rectangle have the same perimeter. If the sides of the rectangle are 15cm and 7cm, then the area of circle is:
Q63mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The diagonal of a cubical block of wood is
192

​
cm. Find its volume.
Q64mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
How many balls of radius 3cm can be made by melting a bigger ball of diameter 48cm?
Q65mediummcqQuantitative AptitudeStaff Selection Commission2026
0% accuracy
A solid metallic sphere of radius 4.2 cm is melted and recast into a right circular cylinder of radius 6 cm. What is the height (in cm) of the cylinder (correct to one decimal place)?
Q66mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
What is the side of a cube (in metres) in which an iron rod of maximum length can be put?
Q67mediummcqQuantitative 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?
Q68mediummcqQuantitative 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.
Q69mediummcqQuantitative 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?
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 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:
Q72mediummcqQuantitative AptitudeCompetitive Exam2026
The volume of a cube is 64cm
3
. The total surface area of the cube is:
Q73mediummcqQuantitative 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:
Q74mediummcqQuantitative AptitudeCompetitive Exam2026
The volume of a solid sphere is 4851 m
3
. What is the surface area of the sphere? (Take π=
7
22
​
)
Q75mediummcqQuantitative AptitudeCompetitive Exam2026
Find the area of a right angle whose base is 15 cm and hypotenuse is 17 cm.
Q76mediummcqQuantitative 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?
Q77mediummcqQuantitative AptitudeCompetitive Exam2026
Which of the following best describes the perimeter of a shape?
Q78mediummcqQuantitative 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
​
)
Q79mediummcqQuantitative AptitudeCompetitive Exam2026
A circle has a radius of . What is the circumference of the circle? (Use )
Q80mediummcqQuantitative AptitudeCompetitive Exam2026
The total surface area of a cube is . What is the length of its diagonal?
Q81mediummcqQuantitative 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
​
)
Q82mediummcqQuantitative AptitudeCompetitive Exam2026
The dimensions of a pond are 20m, 14m and 6m. Find the capacity of the pond.
Q83mediummcqQuantitative AptitudeCompetitive Exam2026
Find the maximum length of a rod, that can be placed in a room of dimension 12m×12m×14m.
Q84mediummcqQuantitative AptitudeCompetitive Exam2026
The radii of the two spheres are in the ratio 4:3. What is the ratio between their volumes?
Q85easymcqQuantitative AptitudeStaff Selection Commission2026
Find the surface area of a ball of radius 21 mm. (Use π=
7
22
​
)
Q86mediummcqQuantitative AptitudePractice Test2026
A square area is enclosed by fencing. If the total length of the fencing is , find the area of the square.
Q87easymcqQuantitative 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.
Q88mediummcqQuantitative 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?
Q89mediummcqQuantitative AptitudePractice Test2026
A sphere has a radius of . What is its volume? (Use )
Q90mediummcqQuantitative AptitudeCompetitive Exams2026
The diagonal of a cube is 5
3

​
cm. Find the surface area of the cube.
Q91mediummcqQuantitative AptitudeCompetitive Exams2026
If the cylinder height is 9cm and the base area is 25πcm
2
, then find the total surface area.
Q92mediummcqQuantitative AptitudeCompetitive Exams2026
The radius of a hemisphere is 9cm. Its volume will be:
Q93mediummcqQuantitative 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 )
Q94mediummcqQuantitative 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
.
Q95mediummcqQuantitative AptitudeCompetitive Exam2026
A cube has a surface area of 5400square units. Its volume would increase approximately _______ if the side is increased by 5units.
Q96mediummcqQuantitative 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
​
)
Q97mediummcqQuantitative AptitudePractice Test2026
A triangle has a base of and a height of . What is the area of the triangle?
Q98mediummcqQuantitative 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 )
Q99mediummcqQuantitative 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.
Q100hardmcqQuantitative 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
.
123

Frequently Asked Questions

How many Mensuration questions are on ExamTest.live?▼
We have 270 Mensuration questions spread across 3 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Mensuration MCQs free?▼
Yes. All Mensuration questions, answers, and explanations on ExamTest.live are completely free. No account or subscription required.
Which exams include Mensuration questions?▼
Mensuration questions are commonly asked in Quantitative Aptitude, Mathematics, Mathematics and Science, Quantitative Aptitude@NUM: 62, General Intelligence & Reasoning. 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.