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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
7Questions
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 4 57.1%
Easy 3 42.9%

Question type distribution

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

MCQ 7 100%

Subject weightage

Top subjects by unique question coverage.

General Aptitude (GA)
7 Qs

Most asked topics

Top topics across the included previous year papers.

Geometry
7 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Cubes
2 Qs
Lines
1 Qs
Polygons
1 Qs
Cylinders
1 Qs
Triangles
1 Qs
Circles
1 Qs

Paper coverage

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

Life Sciences (XL) 2026
1 Qs
Life Sciences (XL) 2025
1 Qs
Life Sciences (XL) 2024
1 Qs
Life Sciences (XL) 2023
1 Qs
Life Sciences (XL) 2022
2 Qs
Life Sciences (XL) 2021
1 Qs

Browse by subtopics

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

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
Life Sciences (XL) 202620261View paper
Life Sciences (XL) 202520251View paper
Life Sciences (XL) 202420241View paper
Life Sciences (XL) 202320231View paper
Life Sciences (XL) 202220222View paper
Life Sciences (XL) 202120211View paper

Sample previous year questions

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

1
2021 · General Aptitude (GA) · Geometry · Cubes
Life Sciences (XL) 2021
If \(\theta\) is the angle, in degrees, between the longest diagonal of the cube and any one of the edges of the cube, then, cos \(\theta\) =
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2
2022 · General Aptitude (GA) · Geometry · Lines
Life Sciences (XL) 2022
Consider the following equations of straight lines:
Line L1: 2x – 3y = 5
Line L2: 3x + 2y = 8
Line L3: 4x – 6y = 5
Line L4: 6x – 9y = 6
Which one among the following is the correct statement?
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3
2023 · General Aptitude (GA) · Geometry · Cylinders
Life Sciences (XL) 2023

An opaque cylinder (shown below) is suspended in the path of a parallel beam of light, such that its shadow is cast on a screen oriented perpendicular to the direction of the light beam. The cylinder can be reoriented in any direction within the light beam. Under these conditions, which one of the shadows P, Q, R, and S is NOT possible?

Source question diagram

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4
2024 · General Aptitude (GA) · Geometry · Cubes
Life Sciences (XL) 2024

A cube is to be cut into 8 pieces of equal size and shape. Here, each cut should be straight and it should not stop till it reaches the other end of the cube. The minimum number of such cuts required is

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5
2025 · General Aptitude (GA) · Geometry · Triangles
Life Sciences (XL) 2025
Three villages P, Q, and R are located in such a way that the distance PQ = 13 km, QR = 14 km, and RP = 15 km, as shown in the figure. A straight road joins Q and R. It is proposed to connect P to this road QR by constructing another road. What is the minimum possible length (in km) of this connecting road?
Note: The figure shown is representative.

Source question diagram

Source question diagram

Source question diagram

Source question diagram

Source question diagram

Source question diagram

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6
2026 · General Aptitude (GA) · Geometry · Circles
Life Sciences (XL) 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 \(\angle O_1 O_3 O_2\) is \(90^\circ\), \(r_3 = \) ______ cm.

Question source image

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