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Previous year question hub

Spheres - Geometry - General Aptitude (GA) Previous Year Questions

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

1Papers
1Years
1Questions
1Topics

Spheres question pattern

Every graph below is calculated only from this selection.

Questions by year

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

Difficulty distribution

How the classified questions are distributed by difficulty.

Easy 1 100%

Question type distribution

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

MCQ 1 100%

Subject weightage

Top subjects by unique question coverage.

General Aptitude (GA)
1 Qs

Most asked topics

Top topics across the included previous year papers.

Geometry
1 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Spheres
1 Qs

Paper coverage

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

Electrical Engineering (EE) 2025
1 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
Electrical Engineering (EE) 202520251View paper

All Spheres previous year questions

Practice every matching question in batches of 20, with every available option.

1
2025 · General Aptitude (GA) · Geometry · Spheres
Electrical Engineering (EE) 2025
Spheres of unit diameter are centered at \((l, m, n)\) where \(l, m,\) and \(n\) take every possible integer values.
The distance between two spheres is computed from the center of one sphere to the center of the other sphere. For a given sphere, \(x\) is the distance to its nearest sphere and \(y\) is the distance to its next nearest sphere. The value of \(\frac{y}{x}\) is:
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