NDA I Maths Question Paper 2021 - Download PDF

About this paper

This is the Mathematics paper of the UPSC National Defence Academy and Naval Academy Examination 2021, T.B.C. FJY-D-MTC. 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 algebra, trigonometry with heights and distances and properties of triangles, circles and other coordinate geometry, limits and derivatives, maxima and minima, integration, statistics with pie charts and frequency tables, and probability distributions. In this copy the Hindi instructions are on the first page and the cover is on the last. It has the questions only, without answers.

Exam

NDA

Subject

Mathematics

Year

2021

Paper code

FJY-D-MTC

Maximum marks

300

Time allowed

2 hours 30 min

Questions

120

Answers included

No, questions only

Topics covered

• Algebra
• Heights and distances
• Properties of triangles
• Circles and coordinate geometry
• Limits and derivatives
• Maxima and minima
• Integration
• Statistics and data representation
• Probability distributions

Questions from this paper

1. A ladder 6 m long reaches a point 6 m below the top of a vertical flagstaff. From the foot of the ladder, the elevation of the top of the flagstaff is 75°. What is the height of the flagstaff?
2. In a triangle ABC, a = 10 cm, c = 4 cm and B = 30°. What is the area of the triangle?
3. What is the radius of the circle 4x² + 4y² − 20x + 12y − 15 = 0?
4. A 24 cm long wire is bent to form a triangle with one of its angles equal to 60°. What is the altitude of the triangle having the greatest possible area?