NDA (II) 2018 · 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
45/56/19easy / medium / hard
Sections and topics
One 120-question Mathematics paper covering algebra, trigonometry, calculus, geometry, vectors, statistics and probability.
Mathematics · 120 questions
- Differential calculus14
- Coordinate geometry (2D)11
- Matrices and determinants9
- Statistics and probability9
- Vectors8
- Coordinate geometry (3D)7
- Integral calculus7
- Progressions6
- Sets and relations5
- Complex numbers5
- Quadratic equations5
- Permutations and combinations5
- Binomial theorem4
- Logarithms4
Sample question from this paper
Sets and relations · medium
How many reflexive relations can be defined on a set having 4 elements?
- A.
- B.
- C.
- D.
Show answer and solution
Answer: C
A relation on is a subset of (16 ordered pairs). Reflexivity forces the 4 diagonal pairs to be present; each of the remaining pairs is free to be in or out, giving . The trap is , which counts all relations.
A relation on is a subset of (16 ordered pairs). Reflexivity forces the 4 diagonal pairs to be present; each of the remaining pairs is free to be in or out, giving . The trap is , which counts all relations.