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CDS (II) 2024 · Elementary Mathematics

A full Elementary Mathematics paper in the UPSC CDS pattern: 100 questions in 2 hours, with a third of the question's marks deducted for every wrong answer. Arithmetic, algebra, trigonometry, geometry, mensuration and statistics at Class 10 level, against the clock.

100questions
100marks
2 hoursno calculator
30/48/22easy / medium / hard

Topics in this paper

Mathematics · 100 questions

  • Heights and distances6
  • Number system5
  • Mean5
  • Percentage4
  • Ratio and proportion4
  • Time and work4
  • Identities4
  • Triangles4
  • Cylinder4
  • Profit and loss3
  • Time, speed and distance3
  • Quadratic equations3
  • Logarithms3
  • Complementary angles3

Sample question from this paper

HCF and LCM · medium

Three runners start together on a circular track and take 40 s, 60 s and 90 s per lap respectively. They are next together at the starting point after the slowest runner has completed
  1. A. 3 laps
  2. B. 6 laps
  3. C. 9 laps
  4. D. 4 laps
Show answer and solution
Answer: D
LCM(40,60,90)=360(40,60,90)=360 s. The slowest runner needs 4 laps in that time (the others need 9 and 6). Trap: 9 is the fastest runner's count, not the slowest's.