NDA I Maths Question Paper 2022 - Download PDF

About this paper

This is the Mathematics paper of the UPSC National Defence Academy and Naval Academy Examination (I) 2022, Test Booklet Series A, T.B.C. SDFR-S-HTM. 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 binary numbers, permutations, factorials and divisibility, trigonometry with heights and distances, parabolas and ellipses, planes, spheres and vectors, continuity and differentiability, maxima and minima, differential equations, statistics and the binomial distribution. Several items are grouped around a data table, a frequency distribution or a single geometry setting. This copy has the questions only, without answers.

Exam

NDA

Subject

Mathematics

Year

2022

Paper code

SDFR-S-HTM

Maximum marks

300

Time allowed

2 hours 30 min

Questions

120

Answers included

No, questions only

Topics covered

• Binary number system
• Permutations and combinations
• Heights and distances
• Conic sections
• Three-dimensional geometry and vectors
• Continuity and differentiability
• Maxima and minima
• Differential equations
• Statistics
• Binomial distribution

Questions from this paper

1. How many odd numbers between 300 and 400 have no repeated digit?
2. What is the greatest natural number n such that 5ⁿ divides 30! + 35!?
3. If xy = 4225, where x and y are natural numbers, what is the minimum value of x + y?
4. What is the equation of the parabola with focus (−3, 0) and directrix x − 3 = 0?