Topic Volume
Asked 3 times across 3 UPSC exams over 6 years (2020–2026), peaking in 2020.
Key insights
- Most tested in EPFO — 1 of 3 PYQs
- Most asked in 2020
- Recurs across 3 years (2020–2026)
How it travelled across exams
First appearance in each exam — the same idea, reframed.
EPFO 2020 → CISF 2021 → GEO 2026
How the concept evolved
Rising — more than half its appearances (3 of 3) are since 2016.
Related concepts
Ideas UPSC tests alongside this one — keep exploring.
Sample questions
You've seen the pattern — here are a few of the actual PYQs.
GEO2026
The diameter of a sphere and the side of a cube are of equal length. Which one of the following is the correct ratio of their mass if both of them are made of the same material?
- A π / 6
- B 4π / 3
- C π
- D π / 3
Answer key not yet available (pending official release)
Science & Technology › Physics & Chemistry
CISF2021
A solid metal ball of diameter 10 cm is melted and cast into smaller balls of diameter 1 cm. How many such small balls can be made ?
- A 250
- B 500
- C 1000 ✓
- D 100
✓ Correct answer: (C)
Quantitative Aptitude › Geometry & Mensuration
EPFO2020
A hollow closed cube of side 10 cm, each weighing 200 gm, is made. This cube is placed in water with a horizontal face. How many cm of its height sinks in water if the density of water is 1 gm per cm³ ?
- A 1 cm
- B 1·5 cm
- C 2 cm ✓
- D 2·5 cm
✓ Correct answer: (C)
Quantitative Aptitude › Geometry & Mensuration
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