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NDA (II) 2021 · Mathematics

A full Mathematics paper in the UPSC NDA pattern. 120 questions in 150 minutes, with a third of the marks deducted for every wrong answer.

120questions
300marks
+2.5 / −0.83per question
37/61/22easy / medium / hard

Sections and topics

One 120-question Mathematics paper covering algebra, trigonometry, calculus, geometry, vectors, statistics and probability.

Mathematics · 120 questions

  • Straight lines6
  • Vectors6
  • Complex numbers5
  • Quadratic equations5
  • Binomial theorem4
  • Logarithms4
  • Plane4
  • Statistics4
  • Probability4
  • Sets3
  • Functions3
  • Binary system3
  • Arithmetic progression3
  • Determinants3

Sample question from this paper

Sets · medium

Of 120120 employees, 7575 can drive, 6060 can cook and 2525 can do neither. The number of employees who can do exactly one of the two tasks is
  1. A. 3535
  2. B. 9595
  3. C. 7575
  4. D. 5555
Show answer and solution
Answer: D
At least one task: 120−25=95120-25=95. Both: 75+60−95=4075+60-95=40. Exactly one: 95−40=5595-40=55, equivalently (75−40)+(60−40)=35+20(75-40)+(60-40)=35+20. The value 95 includes those who do both.