Geometry – Verified PYQ Authority Guide
Geometry is a sub-subject authority hub. It is designed to expose the important topic/concept clusters represented by verified SRO PYQs and guide students from broad revision into the exact solved questions that support each area. Every factual learning cue below is drawn from the existing verified, published and approved English PYQ corpus or from its Knowledge Graph relationships; the hub does not invent unsupported technical claims.
PYQ evidence snapshot
28 verified PYQs are currently mapped to this Sub Subject hub. The represented years include 2025. Exam coverage currently includes RRB NTPC Under Graduate Level. Subject context includes Quantitative Aptitude. These values come from live mappings and can expand automatically when new verified PYQs are added.
Most useful verified PYQs to solve first
Start with the actual questions rather than memorising a generic note. The links below are ranked from the mapped corpus using repeat history and editorial quality, while the complete explanation stays on the individual question page.
- A triangle has sides of lengths 5 cm, 12 cm, and 13 cm. If a perpendicular is drawn from the vertex opposite the longest side to the longest side, what is the…
RRB NTPC Under Graduate Level · 2025 · Area and Perimeter
Use the standard Area and Perimeter method and simplify; the result matches 4.62 cm. - A city is planning a new park in the shape of a regular hexagon with each side measuring 10 meters. Which of the following is closest to the area of the park?
RRB NTPC Under Graduate Level · 2025 · Area and Perimeter
Use the standard Area and Perimeter method and simplify; the result matches 259.8 square meters. - A pentagon is divided into three triangles by drawing diagonals from one of its vertices. The areas of two of these triangles are 24 cm2 and 30 cm2. The third triangle has…
RRB NTPC Under Graduate Level · 2025 · Area and Perimeter
Use the standard Area and Perimeter method and simplify; the result matches 282. - The total surface area of a cube having side 64 cm is:
RRB NTPC Under Graduate Level · 2025 · Surface Area and Volume
Use the standard Surface Area and Volume method and simplify; the result matches 24,576 cm2. - The radius of the base of a cylinder is 3.5 cm and its curved surface area is 616 cm². Find the volume of the cylinder.
RRB NTPC Under Graduate Level · 2025 · Surface Area and Volume
Use the standard Surface Area and Volume method and simplify; the result matches 1078 cm³. - Which of the following are true to construct a quadrilateral uniquely? ( i ) Rhombus and square can be constructed when 2 diagonals are given. ( ii ) The lengths of 2…
RRB NTPC Under Graduate Level · 2025 · Area and Perimeter
Use the standard Area and Perimeter method and simplify; the result matches ( i ) and ( iv ). - The sum of the surface areas of two spheres is 12584 π sq. cm. The radius of the larger sphere is five times the radius of the smaller sphere. Find the diameter…
RRB NTPC Under Graduate Level · 2025 · Surface Area and Volume
Use the standard Surface Area and Volume method and simplify; the result matches 110 cm. - A parallelogram has sides 12 cm and 9 cm long. The length of one of its diagonals is 15 cm. What is the area (in cm2) of the parallelogram?
RRB NTPC Under Graduate Level · 2025 · Area and Perimeter
Use the standard Area and Perimeter method and simplify; the result matches 108.
Formula & key-relationship bank from verified solutions
Triangle area = ½ × base × height; use Pythagoras for right triangles when applicableCube: TSA = 6a²; Volume = a³; diagonal = a√3Cylinder: CSA = 2πrh; TSA = 2πr(r+h); Volume = πr²hRhombus area = d₁d₂/2; side = √[(d₁/2)² + (d₂/2)²]Sphere: Surface area = 4πr²; Volume = 4πr³/3
Use these as revision triggers and open the linked PYQ before applying a formula numerically; variable definitions and assumptions belong to the exact solved question.
Core ideas repeatedly reinforced by the solved corpus
- Use the standard Area and Perimeter method and simplify; the result matches 4.62 cm.
- Use the standard Area and Perimeter method and simplify; the result matches 259.8 square meters.
- Use the standard Area and Perimeter method and simplify; the result matches 282.
- Use the standard Surface Area and Volume method and simplify; the result matches 24,576 cm2.
- Use the standard Surface Area and Volume method and simplify; the result matches 1078 cm³.
Exam tips already validated in SRO solutions
- Identify the Area and Perimeter relationship before calculation and keep units/bases consistent.
- Identify the Surface Area and Volume relationship before calculation and keep units/bases consistent.
Common mistakes to avoid
- Using a shortcut without checking its conditions or using the wrong base/unit.
Topic and concept coverage
Mapped topic labels include Mensuration. The concept trail includes Area and Perimeter, Surface Area and Volume. Use these labels as a revision map: move from the broad area to the narrow concept, solve a verified PYQ, inspect the detailed reasoning, and then attempt another question from the same cluster.
Knowledge Graph navigation
Continue with Quantitative Aptitude, Mensuration, Mensuration, Mensuration, Mensuration, Mensuration, Area and Perimeter, Area and Perimeter, Area and Perimeter, Area and Perimeter, Area and Perimeter. These are canonical SRO entity links based on the Knowledge Graph and shared question mappings, not keyword-stuffed tag pages.
How to revise this authority page efficiently
- Solve before reading: answer a mapped PYQ first.
- Read the exact explanation: verify the correct principle, formula, distractor logic and common mistake on that question page.
- Move one level in the graph: use the closest concept/sub-topic/topic link rather than opening unrelated content.
- Reattempt: solve another verified PYQ from this hub and check whether the same error repeats.
Quality scope: this page is automatically maintained from SRO’s verified mapped corpus. It enriches one canonical authority URL instead of generating multiple near-duplicate pages for keyword variants. Manual authority articles are never overwritten by the automated engine.