

SSC Mensuration Questions test the candidate’s understanding of formulas related to 2D and 3D figures such as triangles, rectangles, circles, cylinders, cones, and pyramids. Proficiency in applying area, volume, and surface area formulas quickly is crucial, as questions appear regularly in SSC quantitative aptitude sections.
Success in SSC mensuration requires steady practice with varied problems, memorization of key formulas, and quick calculation ability. Regular practice and revision help enhance accuracy and time management for SSC exams.
Candidates preparing for SSC CGL, CHSL, MTS, and GD exams can download SSC mensuration questions PDFs. These PDFs contain a wide range of problems on triangles, rectangles, circles, trapeziums, cones, cylinders, and more. The SSC mensuration formulas are also included to help understand how to solve these questions quickly.
The practice sets have detailed solutions to help learners check their answers and improve. These resources include SSC CGL mensuration questions, SSC CHSL mensuration questions, SSC MTS mensuration questions, and SSC GD mensuration questions for targeted practice:
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SSC Mensuration Questions PDF |
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SSC Mensuration Questions PDF in English |
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SSC Mensuration Questions PDF in Hindi |
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These PDFs are designed to match the exam syllabus and difficulty level. Regular practice with these PDFs can help solve SSC mensuration questions more confidently. Below shows examples of question types found in SSC Mensuration Questions PDFs:
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Examples of SSC Mensuration Questions in PDFs |
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Question Topic |
Example |
Type of SSC Exam |
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Area of Triangle |
Find the area with base and height given |
SSC CGL, CHSL, MTS, GD |
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Perimeter of Rectangle |
Calculate the perimeter with given sides |
SSC CHSL, GD, MTS |
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Volume of Cylinder |
Find volume with radius and height |
SSC CGL, MTS |
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Surface Area of Cone |
Calculate surface area of a cone |
SSC GD, CHSL |
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Area of Sector |
Find area of sector with central angle |
SSC CGL, CHSL |
Using SSC mensuration formulas and tricks can save time during exams. Here are some important tricks and formulas to remember:
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SSC Mensuration Tricks for Quick Revision |
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Concept |
Formula/Explanation |
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Area of Triangle |
(1/2) × base × height |
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Perimeter of Rectangle |
2 × (length + breadth) |
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Volume of Cylinder |
π × radius² × height |
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Surface Area of Cone |
π × radius × (radius + slant height) |
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Area of Sector |
(θ/360) × π × radius² (θ is central angle in degrees) |
These formulas help solve questions fast. For example, knowing the volume formula for cylinders can avoid long calculations.
Practicing various SSC mensuration questions helps sharpen problem-solving skills. Here are some sample questions:
Q1. What is the perimeter of a right angle triangle if the base of the triangle is 12 cm and the height is 35 cm?
A) 88 cm
B) 84 cm
C) 86 cm
D) 90 cm
Q2. The length of a rectangle is 2 m less than thrice its breadth. If its perimeter is 28m, find its breadth.
A) 10 m
B) 4 m
C) 6 m
D) 7.5 m
Q3. The base of a triangle is equal to the perimeter of a square whose diagonal is 7√2 cm and its height is equal to the side of a square whose area is 169 cm². The area (in cm²) of the triangle is:
A) 156
B) 175
C) 130
D) 182
Q4. A trapezium-shaped field has a surface area of 1440 square m. Its parallel sides are 24 m apart perpendicularly. If the ratio of the parallel sides is 5:3, the length of the longer parallel side is:
A) 15 m
B) 30 m
C) 45 m
D) 75 m
Q5. The areas of the two triangles are in the ratio 4:3 and their heights are in the ratio 6:5. Find the ratio of their bases.
A) 5:6
B) 10:9
C) 6:5
D) 9:10
Q6. A field is 150 m long and 80 m wide. How many times (rounded off to 1 decimal place) is its perimeter to the length of its diagonal?
A) 2.3
B) 2.5
C) 2.7
D) 3.1
Q7. If the length of a rectangular solar panel having an area of 110 m² is 10% more than its breadth, then what will be the breadth?
A) 110 m
B) 10 m
C) 20√3 m
D) 10√3 m
Q8. ABCD is an isosceles trapezium such that AD is parallel to BC, AB = 5 cm, AD = 8 cm and BC = 14 cm. What is the area (in cm²) of trapezium?
A) 36
B) 44
C) 88
D) 144
Q9. The area of a sector of a circle is 616 cm² with a central angle of 10°. The radius of the circle is (use π = 22/7):
A) 84 cm
B) 21 cm
C) 48 cm
D) 28 cm
Q10. The two parallel sides of a trapezium are 17 cm and 15 cm, respectively. If the height of the trapezium is 6 cm, then its area (in m²) is:
A) 9.6
B) 960
C) 0.96
D) 0.0096
Q11. The diameter of a circle is doubled. By how much does the area increase?
A) 2 times
B) 4 times
C) 8 times
D) 16 times
Q12. The area of the shaded portion in the given figure is (take π = 22/7):
A) 144 cm²
B) 154 cm²
C) 77 cm²
D) 308 cm²
Q13. The radius of a circular cone is 6 cm and its height is 7 cm. So, the volume of the cone in cm³ is: (Take π = 22/7)
A) 216
B) 154
C) 264
D) 188
Q14. The radius of a circular cylinder is 5 cm and its height is 14 cm. Then the volume of the cylinder in cm³ is: (Take π = 22/7)
A) 1254
B) 1100
C) 1120
D) 1504
Q15. The length, breadth of a cuboidal box are 25 cm and 15 cm, respectively. If the volume of the box is 1875 cm³, then the height of the box (in cm) is:
A) 4.0
B) 5.0
C) 5.5
D) 4.5
Q16. The lateral surface area of a cylinder is 3168 cm² and its height is 48 cm. Find the volume.
A) 15244 cm³
B) 25544 cm³
C) 35644 cm³
D) 16632 cm³
Q17. The heights of two right circular cones are in the ratio 1:5 and the perimeter of their bases are in the ratio 5:3. Find the ratio of their volumes.
A) 8:11
B) 7:6
C) 5:9
D) 3:4
Q18. A conical tent with radius 6 units and height 8 units is to be made by canvas. How much canvas is needed to make the tent? (Rounded off to two decimal places)
A) 188.57 units
B) 155.87 units
C) 166.57 units
D) 177.55 units
Q19. The total surface area of a square-based right pyramid is 1536 m², of which 37.5% is the area of the base of the pyramid. What is the volume (in m³) of this pyramid?
A) 3048
B) 3072
C) 3144
D) 3108
Q20. The total surface area of a right pyramid, with base as a square of side 8 cm, is 208 cm². What is the slant height (in cm) of the pyramid?
A) 7
B) 10
C) 9
D) 8
These practice questions mimic those in SSC exams and help students prepare better. Consistent practice with such questions enhances speed and accuracy.
Solving SSC mensuration questions regularly offers many benefits:
It improves understanding of geometric shapes and formulas.
Enhances calculation speed and accuracy.
Builds confidence for SSC CGL, CHSL, GD, and MTS exams.
Helps in scoring better in quantitative aptitude sections.
Trains students to tackle different mensuration problems seen in SSC exams.
Daily practice with SSC mensuration practice sets and PDFs can significantly boost exam performance.
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