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Geometry and Mensuration PYQs (previous year questions) for XAT: Geometry and Mensuration (Quantitative Ability and Data Interpretation) had 49 questions across the 9 official XAT papers we tagged (2016–2024), and appeared in 9 of them. Asked in 9 of 9 years. The concepts asked in the most papers: Triangles, Circles, Mensuration 3D.
Year-wise question count
Asked in 9 of 9 years.
Most-asked concepts
Sorted by the number of papers a concept appeared in.
| Concept | Questions | Papers | Years |
|---|---|---|---|
| Triangles | 12 | 8 | 2024, 2023, 2022, 2021, 2019, 2018, 2017, 2016 |
| Circles | 11 | 7 | 2024, 2021, 2020, 2019, 2018, 2017, 2016 |
| Mensuration 3D | 5 | 4 | 2020, 2019, 2018, 2017 |
| Heights and Distances | 4 | 4 | 2022, 2021, 2018, 2016 |
| Quadrilaterals | 3 | 3 | 2023, 2017, 2016 |
| Coordinate Geometry | 3 | 2 | 2023, 2019 |
| Trigonometry | 2 | 2 | 2023, 2017 |
| Area | 1 | 1 | 2016 |
| Cubes | 1 | 1 | 2021 |
| Mensuration | 1 | 1 | 2023 |
| Pythagoras Theorem | 1 | 1 | 2020 |
| Rhombus | 1 | 1 | 2018 |
| Similar Triangles | 1 | 1 | 2020 |
| Squares and Triangles | 1 | 1 | 2019 |
| Trapezium | 1 | 1 | 2019 |
| Triangles and Circles | 1 | 1 | 2024 |
How to practise Geometry and Mensuration PYQs
- Start with the concepts at the top of the table. They have come back the most.
- Solve one year’s Geometry and Mensuration questions from the official PDF against the clock, then check the answer listed below.
- Log every miss as a concept gap, a calculation slip or a misread. Each needs a different fix.
- Once a concept is clean in two papers, move to the next. Then sit a full paper from the year pages.
Questions by year
Each line gives the question number, type, concept, our one-line summary, with a link to the official PDF.
XAT2024
XAT2023
- Q.52 · MCQ · Triangles: Value of an expression in a triangle with an altitude PDF
- Q.53 · MCQ · Coordinate Geometry: Area of a triangle from given coordinates PDF
- Q.59 · MCQ · Quadrilaterals: Area of a triangle in a trapezoid with an equilateral triangle PDF
- Q.64 · MCQ · Triangles: Data sufficiency for a fielder's distance from a thrower PDF
- Q.66 · MCQ · Trigonometry: Value of a ratio of powers of sin 15 and sin 75 PDF
- Q.70 · MCQ · Mensuration: Shortest path for an ant across a cubical room PDF
XAT2022
XAT2021
- Q.59 · MCQ · Circles: Overlap area of two circles built from intersecting circles PDF
- Q.60 · MCQ · Triangles: Total path length for a courier using similar triangles PDF
- Q.61 · MCQ · Cubes: Unpainted small cubes when three adjacent faces are painted PDF
- Q.62 · MCQ · Heights and Distances: Ratio of pole segments from angles of elevation PDF
- Q.63 · MCQ · Triangles: Maximum angle to a median in an integer-sided triangle PDF
XAT2020
- Q.2 · MCQ · Similar Triangles: Height of the intersection point of lines joining two towers PDF
- Q.3 · MCQ · Pythagoras Theorem: Distance of one traveller from a landmark on another's path PDF
- Q.4 · MCQ · Mensuration 3D: Volume of water in a pool with linearly varying depth PDF
- Q.9 · MCQ · Circles: Maximum non-overlapping circles centred on a field's diagonals PDF
- Q.14 · MCQ · Circles: Area bounded by segments and an arc around a circle and rectangle PDF
- Q.15 · MCQ · Circles: Overlap area of two equal circles inside a square PDF
- Q.19 · MCQ · Circles: Relation that always holds for a point on a circumcircle arc PDF
XAT2019
- Q.51 · MCQ · Mensuration 3D: Number of cones cast from a melted cylinder PDF
- Q.55 · MCQ · Coordinate Geometry: Parameter value from slope of line joining two intersections PDF
- Q.58 · MCQ · Coordinate Geometry: Possible centre of a circle from a tangent and a line PDF
- Q.59 · MCQ · Squares and Triangles: Ratio of areas of two squares linked by equilateral triangles PDF
- Q.60 · MCQ · Trapezium: Ratio of sines of two angles in a trapezium PDF
- Q.63 · MCQ · Triangles: Bounds on the area of an isosceles triangle PDF
- Q.64 · MCQ · Circles: Maximum points on a disc at least 1 m apart PDF
- Q.65 · MCQ · Triangles: Angle between two right triangles sharing a vertex PDF
XAT2018
- Q.50 · MCQ · Rhombus: Area of a rhombus from side and diagonal ratio PDF
- Q.54 · MCQ · Mensuration 3D: Paint needed after slicing a sphere into four pieces PDF
- Q.56 · MCQ · Heights and Distances: Distance between two boats sighting a lighthouse top PDF
- Q.60 · MCQ · Triangles: Return time along the third side of a triangle path PDF
- Q.65 · MCQ · Mensuration 3D: Slant height of a frustum from a curved surface area ratio PDF
- Q.66 · MCQ · Circles: Common area of two intersecting circles PDF
XAT2017
- Q.49 · MCQ · Circles: Length of a perpendicular segment to a chord PDF
- Q.56 · MCQ · Trigonometry: Range of a trigonometric expression for a small angle PDF
- Q.57 · MCQ · Mensuration 3D: Slant edge of a square pyramid from volume and height PDF
- Q.61 · MCQ · Quadrilaterals: Value of a side when another side is least between parallel lines PDF
- Q.62 · MCQ · Triangles: Ratio of a triangle's area to a rectangle's area PDF
XAT2016
- Q.50 · MCQ · Triangles: Angle BAD in a figure with three equal segments PDF
- Q.52 · MCQ · Triangles: Area of a hexagram formed by two equilateral triangles PDF
- Q.64 · MCQ · Area: Area of a square paper from its thrice-folded triangle PDF
- Q.65 · MCQ · Circles: Area of an equilateral triangle from circle area difference PDF
- Q.66 · MCQ · Heights and Distances: Time-based problem on an object sighted at 30 degree angles PDF
- Q.70 · MCQ · Circles: Length of one arc given another arc and their angles PDF
- Q.71 · MCQ · Quadrilaterals: Integer values of a side giving maximum area of a quadrilateral PDF
Other Quantitative Ability and Data Interpretation topics
- Arithmetic PYQs
- Algebra PYQs
- Number System PYQs
- Permutations, Probability and Sets PYQs
- Data Interpretation PYQs
FAQ
How many Geometry and Mensuration questions come in XAT?
In the official papers we tagged: 3 in 2024, 6 in 2023, 2 in 2022, 5 in 2021, 7 in 2020, 8 in 2019, 6 in 2018, 5 in 2017 and 7 in 2016. That is 49 questions in all, about 20% of Quantitative Ability and Data Interpretation.
Which Geometry and Mensuration topics repeat in XAT?
Asked in the most papers: Triangles, Circles, Mensuration 3D. The concept table lists every one with its count.
Are these official XAT questions?
Yes. Every question is from an official XAT paper hosted on our year pages. The one-line summaries are ours; open the PDF linked beside each question for the full text.