NDA (II) 2016 · 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
44/52/24easy / medium / hard
Sections and topics
One 120-question Mathematics paper covering algebra, trigonometry, calculus, geometry, vectors, statistics and probability.
Mathematics · 120 questions
- Limits6
- Trigonometric identities5
- Straight lines5
- Probability5
- Sets and relations4
- Trigonometric equations4
- Complex numbers4
- Determinants4
- Matrices4
- Inverse trigonometric functions4
- Properties of triangles4
- Statistics4
- Quadratic equations3
- Geometric progression3
Sample question from this paper
Quadratic equations · medium
If the roots of are in the ratio , then is equal to
- A.
- B.
- C.
- D.
Show answer and solution
Answer: D
Let the roots be and . The sum is , so and the roots are and . The product of roots is . Using comes from reading the sum as the product, and 15 comes from multiplying the wrong pair.
Let the roots be and . The sum is , so and the roots are and . The product of roots is . Using comes from reading the sum as the product, and 15 comes from multiplying the wrong pair.