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CDS (II) 2016 · 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
45/47/8easy / medium / hard

Topics in this paper

Mathematics · 100 questions

  • Number system6
  • Heights and distances6
  • Percentage4
  • Quadratic equations4
  • Time, speed, distance3
  • Algebraic identities3
  • Identities3
  • Profit and loss2
  • Simple interest2
  • Compound interest2
  • Ratio2
  • Time and work2
  • Averages2
  • Mixtures2

Sample question from this paper

Number system · medium

The number of positive divisors of 360 is
  1. A. 18
  2. B. 24
  3. C. 20
  4. D. 30
Show answer and solution
Answer: B
360=23⋅32⋅5360=2^3\cdot3^2\cdot5, so the divisor count is (3+1)(2+1)(1+1)=24(3+1)(2+1)(1+1)=24. Counting only prime factors, or forgetting to add 1 to each exponent, gives the wrong options.