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SSC CGL Geometry & Mensuration Questions
Practise geometry & mensuration (mathematics) for the SSC Combined Graduate Level Examination: 10 multiple-choice questions, each with the correct answer and a worked explanation. Click an option to check it, or “New questions” for another set.
Geometry & Mensuration practice
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Q1.Find the area of a right triangle with legs 20 cm and 21 cm.
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Answer: C — 210 cm²
Area = ½ × base × height = ½ × 20 × 21 = 210 cm².
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Q2.A right triangle has legs 6 cm and 8 cm. Find the hypotenuse.
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Answer: A — 10 cm
By Pythagoras, hypotenuse = √(6² + 8²) = √100 = 10.
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Q3.Find the volume of a sphere of radius 7 cm (take π = 22/7).
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Answer: D — 1,437.33 cm³
Using (4/3)πr³ with π = 22/7: 1,437.33 cm³.
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Q4.A right triangle has legs 8 cm and 15 cm. Find the hypotenuse.
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Answer: C — 17 cm
By Pythagoras, hypotenuse = √(8² + 15²) = √289 = 17.
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Q5.Find the volume of a sphere of radius 14 cm (take π = 22/7).
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Answer: D — 11,498.67 cm³
Using (4/3)πr³ with π = 22/7: 11,498.67 cm³.
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Q6.A right triangle has legs 5 cm and 12 cm. Find the hypotenuse.
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Answer: C — 13 cm
By Pythagoras, hypotenuse = √(5² + 12²) = √169 = 13.
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Q7.Find the area of a right triangle with legs 8 cm and 15 cm.
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Answer: D — 60 cm²
Area = ½ × base × height = ½ × 8 × 15 = 60 cm².
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Q8.Find the area of a right triangle with legs 5 cm and 12 cm.
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Answer: A — 30 cm²
Area = ½ × base × height = ½ × 5 × 12 = 30 cm².
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Q9.Find the distance between (-1, 4) and (4, 16).
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Answer: D — 13
Distance = √((Δx)² + (Δy)²) = √(5² + 12²) = 13.
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Q10.Find the distance between (0, -5) and (8, 10).
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Answer: A — 17
Distance = √((Δx)² + (Δy)²) = √(8² + 15²) = 17.
How to approach geometry & mensuration questions
Memorise core formulas (circle πr², triangle ½bh, Pythagoras, distance √((x₂−x₁)² + (y₂−y₁)²)). Sketch the figure — most errors come from misreading which length is given.
About SSC CGL
SSC Combined Graduate Level Examination — conducted by Staff Selection Commission (SSC). Recruits graduates to Group B and C posts in central ministries, departments and offices.
Original practice questions written for this site in the style and difficulty of each exam’s syllabus. They are not past papers and the site is not affiliated with any exam body. Exam patterns, marking schemes and syllabi change — always check the latest official notification.
SSC CGL practice topics
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