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Topic

Equations

Asked 2 times across 2 UPSC exams over 1 years (2024–2025), peaking in 2025.
2
PYQs
2
Exams
2
Years active
2024–2025
Span
2025
Peak
2/2
Answers
📅 Full chronological timeline →

Key insights

  • Most tested in CISF — 1 of 2 PYQs
  • Most asked in 2025
  • Recurs across 2 years (2024–2025)

How it travelled across exams

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

How the concept evolved

124
125
Rising — more than half its appearances (2 of 2) are since 2016.

Sample questions

You've seen the pattern — here are a few of the actual PYQs.
CISF2025
The present age of A is the square of the present age of B. Five years back, the sum of squares of their ages is two years more than the product of their present ages. The present ages of A and B (in years) are, respectively :
  1. A 1, 1
  2. B 4, 2 ✓
  3. C 9, 3
  4. D 16, 4
✓ Correct answer: (B)
Quantitative Aptitude › Algebra
ESE2024
Anuhya picks a number. She doubles the number, squares the result, divides the square by 3, subtracts 30 from the quotient, and gets 18. What are the possible numbers that Anuhya could have picked?
  1. A 6 or −6 ✓
  2. B 16 or −16
  3. C 26 or −26
  4. D 36 or −36
✓ Correct answer: (A)
Quantitative Aptitude › Algebra

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