Mensuration Practice Questions for SSC CGL, Solved Problems

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Mensuration Practice Questions for SSC CGL: The exam includes four sections, each carrying 25 questions worth 50 marks, making a total of 100 questions and 200 marks. As candidates prepare for this exam, it’s important to focus on the Quantitative Aptitude section. This blog includes over 30 Mensuration Practice Questions, a key topic that frequently appears in SSC CGL exams. These questions will help strengthen your preparation and improve accuracy.

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Mensuration: Common Mistakes Students Make

Mensuration questions often appear simple, but can lead to mistakes if basic concepts are not clear. Many SSC aspirants lose marks due to calculation errors or confusion in formulas. Here are the most common mistakes to avoid:

Confusing between area and volume formulas (especially for cylinders, cones, and spheres)
Using wrong units or forgetting to convert units (e.g., cm to m)
Ignoring π value consistency (using 3.14 in one step and 22/7 in another)
Incorrectly calculating curved vs. total surface area
Not visualizing the 3D shape properly before applying formulas
Rushing through calculations without verifying the steps

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Tips and Tricks to Solve Mensuration Questions

Mensuration can fetch you quick marks if you know the right approach. Instead of just memorizing formulas, learn how and where to apply them smartly. Use the tips below to boost your performance in the exam:

Revise all standard formulas regularly (area, volume, surface area)
Practice converting units properly (e.g., cm² to m², etc.)
Draw rough diagrams to visualize the shapes clearly
Understand when to use curved vs. total surface area
Use π as 22/7 or 3.14 consistently in one question
Focus more on cylinder, cone, sphere, and cube-based questions
Solve previous year papers to identify common patterns and traps

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SSC CGL Mensuration, Geometry & Pipe-Cistern Questions

Mensuration, Geometry, and Pipes & Cisterns are key topics in both Tier-1 and Tier-2 of SSC CGL exam. These questions test your conceptual clarity and calculation speed. Practice the 30 questions below to boost your accuracy and score in the exam.

The radius of a semicircular park is 14 m. What is its perimeter?
a. 72 m
b. 71 m
c. 69 m
d. 66 m
e. None of these
Answer: b
The area of a rhombus is 240 cm². One diagonal is 12 cm. Find the other diagonal.
a. 20 cm
b. 30 cm
c. 40 cm
d. 25 cm
e. 28 cm
Answer: a
A cylinder has radius 7 cm and height 10 cm. What is its curved surface area?
a. 440 cm²
b. 420 cm²
c. 450 cm²
d. 462 cm²
e. None of these
Answer: d
A conical tent is 14 m high and its base radius is 10.5 m. Find its canvas area.
a. 798 m²
b. 858 m²
c. 924 m²
d. 924.5 m²
e. 880 m²
Answer: c
A pipe can fill a tank in 12 hours. Another can empty it in 20 hours. If both are opened together, in how many hours will the tank be full?
a. 40 h
b. 36 h
c. 30 h
d. 48 h
e. 60 h
Answer: e
Volume of a cuboid is 360 cm³. Its dimensions are 6 cm and 5 cm. Find height.
a. 10 cm
b. 12 cm
c. 8 cm
d. 6 cm
e. 15 cm
Answer: a
A square park has an area of 1936 m². Find its perimeter.
a. 144 m
b. 156 m
c. 176 m
d. 164 m
e. 172 m
Answer: c
A pipe fills a tank in 10 hours. Another fills it in 20 hours. Both are opened together but the second is closed after 5 hours. Time taken to fill tank?
a. 8 h
b. 9 h
c. 10 h
d. 7.5 h
e. 7 h
Answer: a
Volume of a cone is 616 cm³ and height is 12 cm. Find its radius.
a. 7 cm
b. 6 cm
c. 5 cm
d. 4 cm
e. 3.5 cm
Answer: a
The perimeter of a semicircle (excluding diameter) is 44 cm. Find radius.
a. 7 cm
b. 14 cm
c. 21 cm
d. 28 cm
e. 10 cm
Answer: b
A circular path is 7 m wide and surrounds a circular lawn of radius 35 m. What is the area of the path?
a. 1617 m²
b. 1540 m²
c. 1320 m²
d. 1375 m²
e. 1200 m²
Answer: a
Two pipes can fill a cistern in 12 and 15 hours. A third pipe can empty it in 10 hours. All three opened together. Find time to fill tank.
a. 24 h
b. 20 h
c. 30 h
d. 18 h
e. 16 h
Answer: d
A right triangle has sides 6 cm and 8 cm. What is its hypotenuse?
a. 10 cm
b. 12 cm
c. 9 cm
d. 11 cm
e. 14 cm
Answer: a
The area of a trapezium is 480 cm². Its parallel sides are 24 cm and 36 cm. Find the height.
a. 8 cm
b. 10 cm
c. 12 cm
d. 14 cm
e. 16 cm
Answer: b
A cube has a total surface area of 216 cm². Find its volume.
a. 216 cm³
b. 324 cm³
c. 512 cm³
d. 729 cm³
e. 343 cm³
Answer: d
A cylinder has volume 1386 cm³ and height 9 cm. Find radius.
a. 7 cm
b. 6 cm
c. 5 cm
d. 4 cm
e. 3.5 cm
Answer: a
The radius of a hemisphere is 3.5 cm. Find its surface area.
a. 77 cm²
b. 154 cm²
c. 132 cm²
d. 110 cm²
e. 120 cm²
Answer: b
Two pipes can fill a tank in 15 h and 20 h. They are opened alternately, each for 1 hour. How many hours will it take to fill the tank?
a. 16 h
b. 17 h
c. 18 h
d. 19 h
e. 20 h
Answer: b
Area of a parallelogram is 300 cm². Its base is 25 cm. Find height.
a. 10 cm
b. 12 cm
c. 14 cm
d. 15 cm
e. 18 cm
Answer: d
A hollow cylinder has external radius 10 cm and internal radius 7 cm. Height is 14 cm. Find volume.
a. 4620 cm³
b. 4400 cm³
c. 4200 cm³
d. 4004 cm³
e. 3840 cm³
Answer: d
In a triangle, one angle is 90°. The other two angles are equal. What are they?
a. 30°, 60°
b. 45°, 45°
c. 60°, 60°
d. 40°, 50°
e. 35°, 55°
Answer: b
A water tank is 12 m long, 6 m wide, and 4 m deep. Find its capacity in litres.
a. 288000 L
b. 28800 L
c. 2880 L
d. 280000 L
e. 300000 L
Answer: a
A cube is painted on all sides and then cut into 64 smaller cubes. How many of these have only one face painted?
a. 8
b. 12
c. 24
d. 36
e. 48
Answer: c
A conical vessel has height 24 cm and radius 7 cm. Find its curved surface area.
a. 528 cm²
b. 550 cm²
c. 510 cm²
d. 484 cm²
e. 462 cm²
Answer: e
A rectangular sheet is 30 cm long and 20 cm wide. If it is rolled to form a cylinder along its length, find the volume.
a. 960 cm³
b. 954 cm³
c. 1000 cm³
d. 990 cm³
e. 900 cm³
Answer: a
A pipe can fill a tank in 10 h. Another fills it in 12 h. A third empties it in 15 h. All are opened together. Time taken?
a. 8 h
b. 7.5 h
c. 6.67 h
d. 7 h
e. 6 h
Answer: c
Diagonal of a square is 10√2 cm. Find area.
a. 100 cm²
b. 90 cm²
c. 80 cm²
d. 120 cm²
e. 75 cm²
Answer: a
A triangle has sides 13 cm, 14 cm, and 15 cm. What is its area?
a. 84 cm²
b. 91 cm²
c. 96 cm²
d. 98 cm²
e. 100 cm²
Answer: b
The height of a cone is 12 cm and slant height is 13 cm. Find the radius.
a. 5 cm
b. 6 cm
c. 7 cm
d. 8 cm
e. 9 cm
Answer: b
The perimeter of a semicircular protractor is 72 cm. Find the diameter.
a. 21 cm
b. 22 cm
c. 23 cm
d. 24 cm
e. 25 cm
Answer: b

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SSC CGL Mensuration Practice – FAQs

Q1. Is Mensuration important for SSC CGL Tier 2 also?

Ans. Yes, Mensuration is a scoring topic in Tier 2 Quantitative Paper, with higher difficulty and conceptual application.

Q2. Which topics are frequently repeated in SSC CGL Mensuration questions?

Ans. Cylinder surface area, cone volume, cube and cuboid dimensions, and mixed figures are often repeated.

Q3. Is it better to practice previous year papers or mock tests for Mensuration?

Ans. Both are essential. Start with previous year papers to identify trends, and then move to timed mock tests for accuracy and speed.

Q4. Which books are best for SSC CGL Mensuration preparation?

Ans. Recommended books include R.S. Aggarwal’s “Quantitative Aptitude” and Kiran’s SSC CGL Previous Year Papers for Mensuration practice.

Q5. What are the most important Mensuration formulas for SSC CGL?

Ans. Key formulas include surface area and volume of cube, cuboid, cylinder, cone, sphere, and hemisphere, as well as area and perimeter of 2D shapes.

Aadib Nagori

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