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Topic

Linear Equations

Asked 5 times across 3 UPSC exams over 2 years (2023–2025), peaking in 2025.
5
PYQs
3
Exams
3
Years active
2023–2025
Span
2025
Peak
3/5
Answers
📅 Full chronological timeline →

Key insights

  • Most tested in CISF — 2 of 5 PYQs
  • Most asked in 2025
  • Recurs across 3 years (2023–2025)

How it travelled across exams

First appearance in each exam — the same idea, reframed.
CISF 2023 ESE 2024 EPFO 2025

How the concept evolved

223
124
225
Rising — more than half its appearances (5 of 5) are since 2016.

Sample questions

You've seen the pattern — here are a few of the actual PYQs.
EPFO2025
The length of candle B is 3 times the length of candle A. The speed of burning of Candle B is 4 times the speed of burning of Candle A. A party begins with the lighting of these two candles. The party ends when the heights of these candles become equal. If the numerical value of length (in metre) of the burnt away portion of Candle A and the speed (in metre per hour) of its burning are same, how long, in hours, did the party continue ?
  1. A 1/2
  2. B 1
  3. C 1 1/4
  4. D 1 1/2
Answer key not yet available (pending official release)
Quantitative Aptitude › Arithmetic
ESE2025
The weight of 3 mangoes and 2 apples is 255 grams. The weight of 2 mangoes and 3 apples is 285 grams. Each mango weighs the same and each apple weighs the same. The combined weight of 1 mango and 1 apple will be
  1. A 98 grams
  2. B 104 grams
  3. C 108 grams
  4. D 114 grams
Answer key not yet available (pending official release)
Quantitative Aptitude › Algebra
ESE2024
Nothing is known about the personal life of the ancient Greek mathematician Diophantus except for the information in the following: "Diophantus passed 1/6 his life in childhood, 1/12 in youth, and 1/7 more as a bachelor. Five years after his marriage was born a son who died four years before his father, at 1/2 his father's (final) age." How old was Diophantus when he died?
  1. A 64
  2. B 54
  3. C 74
  4. D 84 ✓
✓ Correct answer: (D)
Quantitative Aptitude › Algebra

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