NDA (II) 2017 · 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
25/67/28easy / medium / hard
Sections and topics
One 120-question Mathematics paper covering algebra, trigonometry, calculus, geometry, vectors, statistics and probability.
Mathematics · 120 questions
- Vectors8
- Matrices7
- Trigonometric identities7
- Complex numbers5
- Straight lines5
- Properties of triangles4
- Limits4
- Definite integrals4
- Differential equations4
- Statistics4
- Probability4
- Sets3
- Determinants3
- Inverse trigonometry3
Sample question from this paper
Sets · medium
In a class of 70 students, 35 study Physics, 42 study Chemistry and 12 study neither subject. The number of students who study exactly one of the two subjects is
- A.
- B.
- C.
- D.
Show answer and solution
Answer: B
At least one subject: . Both: . Exactly one (equivalently ). Option 58 counts the students who study both twice over.
At least one subject: . Both: . Exactly one (equivalently ). Option 58 counts the students who study both twice over.