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JEE Advanced Geometry & Mensuration Questions
Practise geometry & mensuration (mathematics) for the Joint Entrance Examination (Advanced): 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 circle of radius 14 cm (take π = 22/7).
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Answer: D — 616 cm²
Using πr² with π = 22/7: 616 cm².
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Q2.Find the volume of a sphere of radius 7 cm (take π = 22/7).
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Answer: C — 1,437.33 cm³
Using (4/3)πr³ with π = 22/7: 1,437.33 cm³.
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Q3.Find the area of a right triangle with legs 3 cm and 4 cm.
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Answer: B — 6 cm²
Area = ½ × base × height = ½ × 3 × 4 = 6 cm².
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Q4.Find the area of a circle of radius 3.5 cm (take π = 22/7).
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Answer: B — 38.5 cm²
Using πr² with π = 22/7: 38.5 cm².
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Q5.Find the volume of a cone with radius 21 cm and height 4 cm (take π = 22/7).
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Answer: B — 1,848 cm³
Using ⅓πr²h with π = 22/7: 1,848 cm³.
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Q6.Find the distance between (-3, 3) and (2, 15).
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Answer: C — 13
Distance = √((Δx)² + (Δy)²) = √(5² + 12²) = 13.
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Q7.Find the area of a right triangle with legs 5 cm and 12 cm.
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Answer: C — 30 cm²
Area = ½ × base × height = ½ × 5 × 12 = 30 cm².
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Q8.Find the distance between (-4, -5) and (1, 7).
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Answer: B — 13
Distance = √((Δx)² + (Δy)²) = √(5² + 12²) = 13.
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Q9.Find the volume of a cylinder with radius 21 cm and height 10 cm (take π = 22/7).
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Answer: A — 13,860 cm³
Using πr²h with π = 22/7: 13,860 cm³.
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Q10.A right triangle has legs 3 cm and 4 cm. Find the hypotenuse.
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Answer: C — 5 cm
By Pythagoras, hypotenuse = √(3² + 4²) = √25 = 5.
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 JEE Advanced
Joint Entrance Examination (Advanced) — conducted by IITs (organising IIT rotates each year). The entrance exam for undergraduate programmes at the Indian Institutes of Technology.
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.
JEE Advanced practice topics
| Topic | Section | Question source |
|---|---|---|
| Algebra | Mathematics | Calculated (new numbers every set) |
| Probability & Combinatorics | Mathematics | Calculated (new numbers every set) |
| Geometry & Mensuration | Mathematics | Calculated (new numbers every set) |
| Physics | Science | Calculated + question bank |
| Chemistry | Science | Calculated + question bank |