Topic Density
Asked 19 times across 4 UPSC exams over 47 years (1979–2026), peaking in 2022.
Key insights
- Most tested in NDA — 8 of 19 PYQs
- Most asked in 2022
- Recurs across 13 years (1979–2026)
How it travelled across exams
First appearance in each exam — the same idea, reframed.
CSE 1979 → CDS 2018 → NDA 2021 → GEO 2022
How the concept evolved
179
181
182
186
188
100
118
119
121
422
223
324
126
Rising — more than half its appearances (13 of 19) 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
NDA2024
A pumpkin weighs 7.5 N. On submerging it completely in water, 3/4 L of water gets displaced. The acceleration due to gravity at the place where the pumpkin was weighed is 10 m/s2. Which one of the following is the correct value of the density of the pumpkin ?
- A 10 kg/m3
- B 100 kg/m3
- C 1000 kg/m3 ✓
- D 10000 kg/m3
✓ Correct answer: (C)
Science & Technology › Physics & Chemistry
NDA2024
At which temperature does liquid water show maximum density ?
- A 299 K
- B 277 K ✓
- C 285 K
- D 373 K
✓ Correct answer: (B)
Science & Technology › Physics & Chemistry
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