NDA (I & II) 2020 · 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
32/61/27easy / medium / hard
Sections and topics
One 120-question Mathematics paper covering algebra, trigonometry, calculus, geometry, vectors, statistics and probability.
Mathematics · 120 questions
- Complex numbers7
- Matrices and determinants7
- Vectors7
- 3D geometry6
- Quadratic equations5
- Trigonometric identities5
- Statistics5
- Probability5
- Sets4
- AP, GP, HP4
- Permutations and combinations4
- Binomial theorem4
- Properties of triangles4
- Straight lines4
Sample question from this paper
Sets · medium
If , , , , , and , then is
- A. 78
- B. 73
- C. 68
- D. 83
Show answer and solution
Answer: B
Use inclusion-exclusion: . Forgetting to add back the triple intersection gives 68, a common slip, while 78 results from adding it twice.
Use inclusion-exclusion: . Forgetting to add back the triple intersection gives 68, a common slip, while 78 results from adding it twice.