NDA (II) 2024 · 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
36/61/23easy / medium / hard
Sections and topics
One 120-question Mathematics paper covering algebra, trigonometry, calculus, geometry, vectors, statistics and probability.
Mathematics · 120 questions
- Trigonometric identities7
- 3D geometry7
- Vectors6
- Complex numbers5
- Quadratic equations5
- Conic sections5
- Definite integrals5
- Logarithms4
- Matrices4
- Determinants4
- Limits4
- Maxima and minima4
- Differential equations4
- Statistics4
Sample question from this paper
Sets · medium
How many subsets of a set of 5 elements contain two particular elements?
- A. 32
- B. 10
- C. 8
- D. 24
Show answer and solution
Answer: C
Fix the two given elements as members; each of the remaining elements may be present or absent independently, giving subsets. Trap: counts all subsets; is meaningless here.
Fix the two given elements as members; each of the remaining elements may be present or absent independently, giving subsets. Trap: counts all subsets; is meaningless here.