NDA I Maths Question Paper 2020 - Download PDF

About this paper

This is the Mathematics paper of the UPSC National Defence Academy and Naval Academy Examination 2020, Test Booklet Series A, T.B.C. KJU-S-TMS. It carries 300 marks over two and a half hours and has 120 multiple-choice items of equal marks, each printed in Hindi and English, with one-third of an item's marks deducted for a wrong answer. It covers sets and Venn diagrams, permutations and combinations, matrices, trigonometry, coordinate geometry of lines and circles, vectors, limits, continuity and differentiability, rates of change, integration, statistics and probability, including the binomial distribution. Several items are grouped around a Venn diagram, a trapezium and a table of Physics and Mathematics marks. This copy has the questions only, without answers.

Exam

NDA

Subject

Mathematics

Year

2020

Paper code

KJU-S-TMS

Maximum marks

300

Time allowed

2 hours 30 min

Questions

120

Answers included

No, questions only

Topics covered

• Sets and Venn diagrams
• Permutations and combinations
• Matrices and determinants
• Trigonometry
• Straight lines and circles
• Vectors
• Continuity and differentiability
• Applications of derivatives
• Integration
• Statistics
• Probability and the binomial distribution

Questions from this paper

1. In how many ways can the letters of the word 'ABLE' be arranged so that the vowels occupy even places?
2. Let ABC be a triangle. If D(2, 5) and E(5, 9) are the mid-points of the sides AB and AC respectively, what is the length of BC?
3. The radius of a circle is increasing at the rate of 0.7 cm/s. What is the rate of increase of its circumference?
4. There are 15 gold coins, of which 6 are counterfeit. A person picks 4 of them at random. What is the probability that all the coins picked are counterfeit?