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Previous year question hub

Geometry - General Aptitude (GA) Previous Year Questions

Practice Geometry - General Aptitude (GA) previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

6Papers
6Years
11Questions
1Topics

Geometry question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Geometry. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 9 81.8%
Easy 2 18.2%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

MCQ 11 100%

Subject weightage

Top subjects by unique question coverage.

General Aptitude (GA)
11 Qs

Most asked topics

Top topics across the included previous year papers.

Geometry
11 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Cones
2 Qs
Triangles
2 Qs
Circles
2 Qs
Polygons
1 Qs
Symmetry
1 Qs
Trapezoids
1 Qs
Squares
1 Qs
Quadrilaterals
1 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

Environmental Science & Engineering (ES) 2026
1 Qs
Environmental Science & Engineering (ES) 2025
1 Qs
Environmental Science & Engineering (ES) 2024
1 Qs
Environmental Science & Engineering (ES) 2023
2 Qs
Environmental Science & Engineering (ES) 2022
3 Qs
Environmental Science & Engineering (ES) 2021
3 Qs

Browse by subtopics

Open a focused page built from the same verified paper data.

Cones

Explore previous-paper coverage, trends and focused practice for Cones.

2 questions2 papers2 years

Triangles

Explore previous-paper coverage, trends and focused practice for Triangles.

2 questions2 papers2 years

Circles

Explore previous-paper coverage, trends and focused practice for Circles.

2 questions2 papers2 years

Polygons

Explore previous-paper coverage, trends and focused practice for Polygons.

1 questions1 papers1 years

Symmetry

Explore previous-paper coverage, trends and focused practice for Symmetry.

1 questions1 papers1 years

Trapezoids

Explore previous-paper coverage, trends and focused practice for Trapezoids.

1 questions1 papers1 years

Squares

Explore previous-paper coverage, trends and focused practice for Squares.

1 questions1 papers1 years

Quadrilaterals

Explore previous-paper coverage, trends and focused practice for Quadrilaterals.

1 questions1 papers1 years

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
Environmental Science & Engineering (ES) 202620261View paper
Environmental Science & Engineering (ES) 202520251View paper
Environmental Science & Engineering (ES) 202420241View paper
Environmental Science & Engineering (ES) 202320232View paper
Environmental Science & Engineering (ES) 202220223View paper
Environmental Science & Engineering (ES) 202120213View paper

Sample previous year questions

A varied preview from the papers represented in this selection, with every available option.

1
2024 · General Aptitude (GA) · Geometry · Cones
Environmental Science & Engineering (ES) 2024

Visualize two identical right circular cones such that one is inverted over the other and they share a common circular base. If a cutting plane passes through the vertices of the assembled cones, what shape does the outer boundary of the resulting cross-section make?

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2
2025 · General Aptitude (GA) · Geometry · Polygons
Environmental Science & Engineering (ES) 2025
A regular dodecagon (12-sided regular polygon) is inscribed in a circle of radius \(r\) cm as shown in the figure. The side of the dodecagon is \(d\) cm. All the triangles (numbered 1 to 12) in the figure are used to form squares of side \(r\) cm and each numbered triangle is used only once to form a square.
The number of squares that can be formed and the number of triangles required to form each square, respectively, are:
Note: The figure shown is representative.

Source question diagram

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3
2021 · General Aptitude (GA) · Geometry · Symmetry
Environmental Science & Engineering (ES) 2021
The least number of squares that must be added so that the line P-Q becomes the line of symmetry is _____
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4
2022 · General Aptitude (GA) · Geometry · Trapezoids
Environmental Science & Engineering (ES) 2022
A trapezium has vertices marked as P, Q, R and S (in that order anticlockwise).
The side PQ is parallel to side SR.
Further, it is given that, PQ = 11 cm, QR = 4 cm, RS = 6 cm and SP = 3 cm.
What is the shortest distance between PQ and SR (in cm)?
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5
2023 · General Aptitude (GA) · Geometry · Triangles
Environmental Science & Engineering (ES) 2023

How many triangles are present in the given figure?

Question source image

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6
2026 · General Aptitude (GA) · Geometry · Circles
Environmental Science & Engineering (ES) 2026
Circles \(C_1\), \(C_2\), and \(C_3\), with centers \(O_1\), \(O_2\), and \(O_3\), and radii \(r_1\), \(r_2\), and \(r_3\), respectively, touch each other as shown in the following figure. Given \(r_1 = 2\) cm, \(r_2 = 1\) cm and the angle \(\angle O_1 O_3 O_2 = 90^\circ\), \(r_3 = \) ______ cm.
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