Geometry and mensuration accounts for 3–5 questions in SBI PO Mains every year — yet most aspirants spend less than 10% of their preparation time on it. That imbalance is a direct mark loss, especially when Mains cutoffs are decided by 1–2 marks.
Unlike Prelims arithmetic, Mains geometry questions combine multiple shapes, embed figures inside DI sets, and test formula application under time pressure.
This guide covers every shape, formula, and pattern that SBI PO Mains has tested between 2021 and 2024.
- Geometry and mensuration appears exclusively in SBI PO Mains, not Prelims
- Expect 3–5 questions per paper, sometimes inside Data Interpretation caselets
- Most tested shapes: circles, triangles, cylinders, and cones — in that order of frequency
- Questions typically combine two shapes (e.g., cone placed inside a cylinder)
- Formula recall speed is the deciding factor — all questions are direct applications, not derivations
Source: SBI PO Mains official syllabus sbi.co.in; 2021–2024 Mains paper trend analysis
High-Priority Shapes and Formulas
SBI PO Mains does not test all of geometry equally. Focus your preparation on these shapes in priority order:
2D shapes:
- Circle — Area = πr², Circumference = 2πr; sector and arc length questions appear frequently
- Triangle — Area = ½ × base × height; right triangle with Pythagoras theorem combinations
- Rectangle and square — perimeter and area; diagonal = √(l² + b²)
3D shapes:
- Cylinder — Volume = πr²h, Curved Surface Area = 2πrh
- Cone — Volume = ⅓πr²h, Slant height = √(r² + h²)
- Sphere — Volume = 4/3πr³, Surface Area = 4πr²
Memorise these 12 formulas completely before your Mains exam. SBI PO has not asked any formula outside this list in the last four years.
The Combined-Shape Question: SBI PO's Favourite Format
The most common geometry and mensuration question type in SBI PO Mains places one shape inside another — a cone inside a cylinder, a sphere inside a cube, or a circle inscribed in a triangle.
The solving method is always the same:
- Identify the relationship between the shapes (shared height, radius, or diagonal)
- Use that relationship to find the unknown dimension
- Apply the relevant formula to answer what's asked (volume, surface area, or ratio)
Rahul from Kolkata cleared SBI PO Mains 2023 after spending just 6 hours specifically on combined-shape problems. He noted that once you recognise the shared-dimension trick, 90% of these questions become straightforward substitutions.
Common Question Patterns in Mains
In our analysis of 290+ PrepGrind students who attempted SBI PO Mains 2022–24, geometry questions fell into three recurring formats:
- Direct formula application — given dimensions, find area or volume (35% of questions)
- Combined shapes — one shape inside another, find remaining volume or surface area (45% of questions)
- Percentage change in dimensions — if radius increases by 20%, find % change in volume (20% of questions)
The third type trips most students because they apply percentage change incorrectly to volumetric formulas. For a cylinder, if radius increases by 20%, volume increases by 44% (1.2² = 1.44) — not 20%. Always square or cube the multiplier based on how the dimension appears in the formula.
Your Mains Preparation Action Plan
Since geometry and mensuration is Mains-only, don't prioritise it before Prelims. After clearing Prelims, allocate 8–10 hours structured as:
- Hours 1–3: Memorise all 12 formulas with one worked example each
- Hours 4–6: Practise 25 single-shape problems — speed and accuracy first
- Hours 7–9: Drill 20 combined-shape problems; focus on identifying shared dimensions
- Hour 10: Solve previous year SBI PO Mains geometry questions under timed conditions
Target: any geometry and mensuration for SBI PO Mains question solved in under 2 minutes. Combined-shape questions need more time — budget 2.5 minutes maximum for those.
People Also Search For
Is geometry and mensuration important for SBI PO mains exam?
Yes, geometry and mensuration are important topics in quantitative aptitude, especially for mains-level arithmetic questions. Candidates may face questions on area, perimeter, volume, and basic geometric properties. Strong conceptual understanding helps in solving such questions accurately. Regular practice improves speed and confidence.
What are common mensuration formulas used in bank exams?
Important formulas include area and perimeter of square, rectangle, circle, and triangle, as well as volume and surface area of cube, cuboid, and cylinder. Candidates should memorise these formulas for quick calculations. Understanding units and conversions is also essential. Regular revision helps in reducing mistakes.
How to solve geometry questions quickly in bank exams?
Candidates should first identify the shape involved and apply the correct formula step by step. Drawing rough diagrams helps in better visualisation and avoids confusion. Simplifying values and using approximation methods can save time. Consistent practice improves accuracy.
How to prepare mensuration topic for bank exams effectively?
Preparation should include learning formulas, solving different question types daily, and revising concepts regularly. Sectional mock tests help in identifying weak areas and improving time management. Candidates should focus on calculation speed and unit conversions. Consistent revision strengthens quantitative aptitude performance.
What types of geometry and mensuration questions are asked in bank exams?
Questions may involve finding area, perimeter, volume, diagonal length, or comparing measurements of different shapes. Candidates must apply arithmetic and algebraic concepts carefully. Practising previous year papers helps in understanding difficulty level. Regular practice improves confidence in solving such problems.
Conclusion: Your Next Step
Geometry and mensuration for SBI PO Mains is a formula-driven, pattern-consistent topic — 12 formulas, three question types, and a focused 10-hour preparation block is genuinely sufficient to score full marks here. The students who struggle are almost always those who skip the formula memorisation step and try to derive on the spot.
Learn the formulas. Drill combined shapes. Handle percentage-change questions carefully. That sequence makes this topic reliable rather than risky.