NDA 2 Maths Answer Key 2026 with detailed solutions is available here to download in PDF format. NDA 2 2026 was conducted on September 13, 2026, and the Mathematics paper was held from 10:00 AM to 12:30 PM. Candidates can use the NDA 2 Maths Answer Key 2026 to check the correct responses for their question paper set and estimate their probable marks before the result is announced.
Note: Candidates should match their responses only with the answer key corresponding to their question paper set. Answer keys made available immediately after the examination may be prepared by subject experts for reference. The official UPSC answer key should be treated as final once released by the Commission.
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NDA 2 Mathematics was Paper I of the written examination and carried a total of 300 marks. The paper consisted of 120 objective-type multiple-choice questions that candidates had to complete within 2 hours and 30 minutes. The Mathematics paper covered topics such as Algebra, Matrices and Determinants, Trigonometry, Analytical Geometry of Two and Three Dimensions, Differential Calculus, Integral Calculus and Differential Equations, Vector Algebra, Statistics and Probability.
Each question in the NDA Mathematics paper carries 2.5 marks. There is a penalty for incorrect responses, with one-third of the marks assigned to a question deducted for every wrong answer. Therefore, approximately 0.83 marks are deducted for each incorrect response. No marks are deducted for questions that are left unanswered. Candidates should therefore focus on maintaining accuracy while attempting the paper rather than relying heavily on guesswork.
The Mathematics paper is designed to assess conceptual understanding, calculation ability and problem-solving skills. Since candidates had 150 minutes to solve 120 questions, effective time management was important. Questions involving Calculus, Algebra, Trigonometry, Coordinate Geometry and Probability may require multiple calculation steps, while some formula-based questions can be solved comparatively quickly.
Mathematics contributes 300 marks out of the total 900 marks available in the NDA written examination. Candidates must therefore maintain a balance between speed and accuracy while attempting the paper. The NDA 2 Maths Answer Key 2026 can be used after the examination to identify correct and incorrect responses and estimate the probable Mathematics score.
NDA Mathematics covers a wide range of topics from Algebra, Calculus, Trigonometry, Geometry, Matrices, Vector Algebra, Statistics and Probability. UPSC does not prescribe a fixed number of questions for every Mathematics chapter. Therefore, the exact topic-wise weightage can change from one NDA examination to another.
Based on recent NDA question paper trends, Algebra, Calculus, Analytical Geometry, Trigonometry, Matrices and Determinants, and Statistics and Probability remain important areas of the Mathematics paper. Candidates should prepare the complete syllabus instead of depending only on expected topic-wise weightage. The actual NDA 2 Maths 2026 topic distribution will be updated after analysing the question paper conducted on September 13, 2026.
| Topic | Expected Weightage Trend | Major Areas |
|---|---|---|
| Algebra | High | Sets, Complex Numbers, Quadratic Equations, Sequence and Series, Permutation and Combination, Binomial Theorem and Logarithms |
| Matrices and Determinants | Moderate | Types of Matrices, Operations, Determinants, Adjoint, Inverse and Solution of Linear Equations |
| Trigonometry | Moderate to High | Trigonometric Ratios, Identities, Angles, Inverse Trigonometric Functions, Heights and Distances |
| Analytical Geometry of Two and Three Dimensions | Moderate to High | Straight Lines, Circles, Conic Sections, Planes, Lines in 3D and Coordinate Geometry |
| Differential Calculus | High | Limits, Continuity, Derivatives and Applications of Derivatives |
| Integral Calculus and Differential Equations | High | Integration, Definite Integrals, Area, Differential Equations and Applications |
| Vector Algebra | Low to Moderate | Vectors, Magnitude, Direction, Dot Product and Cross Product |
| Statistics and Probability | Moderate to High | Mean, Median, Mode, Variance, Standard Deviation, Probability, Conditional Probability and Binomial Distribution |
Note: The weightage mentioned above represents the general trend observed in previous NDA Mathematics papers and should not be treated as a fixed question distribution for NDA 2 2026. UPSC can vary the number of questions from individual topics.
Algebra is one of the major areas of the NDA Mathematics syllabus and has regularly contributed a substantial number of questions in previous papers. The syllabus covers sets and relations, complex numbers, quadratic equations, arithmetic and geometric progressions, permutation and combination, binomial theorem and logarithms. Questions can be both formula-based and conceptual, so candidates need a clear understanding of fundamental algebraic properties and methods.
Matrices and Determinants generally have a moderate presence in the NDA Mathematics paper. Questions may be based on types of matrices, matrix operations, properties of determinants, adjoint and inverse of matrices and solving simultaneous linear equations. Since several questions from this area can be solved directly by applying standard properties, good conceptual clarity can help candidates save time in the examination.
Trigonometry is another recurring area in NDA Mathematics. Important concepts include trigonometric ratios, identities, compound angles, multiple and sub-multiple angles, inverse trigonometric functions, properties of triangles and heights and distances. Candidates should revise standard identities and formulae carefully because they are frequently required for solving both direct and multi-step questions.
Analytical Geometry of Two and Three Dimensions generally contributes a noticeable share of questions to the NDA Mathematics paper. Questions can involve straight lines, circles, conic sections, distance and section formulae, coordinates in three dimensions, equations of lines and planes and angles between geometrical objects. This section tests both formula application and visual understanding of geometrical relationships.
Calculus is among the most important areas for NDA Mathematics preparation. Differential Calculus covers concepts such as limits, continuity, differentiation and applications of derivatives, while Integral Calculus includes integration, definite integrals and areas bounded by curves. Differential Equations are also included in the syllabus. Previous papers indicate that Calculus can contribute a significant number of questions and may require comparatively more calculation time.
Vector Algebra usually contributes fewer questions compared with larger areas such as Algebra and Calculus, but it remains an important scoring topic. Candidates should prepare concepts related to vectors in two and three dimensions, magnitude and direction, unit vectors, addition of vectors, scalar multiplication, dot product and cross product.
Statistics and Probability have remained important components of recent NDA Mathematics papers. Statistics includes frequency distribution, graphical representation of data, mean, median, mode, variance, standard deviation, correlation and regression. Probability covers events, conditional probability, Bayes' theorem, random variables and binomial distribution. Candidates should practise a variety of problems because questions may involve both direct formula application and interpretation of given information.
Ques: Is NDA 2 Maths Answer Key 2026 available?
Ans: NDA 2 Maths Answer Key 2026 will be available after the Mathematics examination conducted on September 13, 2026. Candidates can check set-wise correct answers and detailed solutions on this page.
Ques: What was the NDA 2 Maths exam timing on September 13, 2026?
Ans: NDA 2 Mathematics was conducted from 10:00 AM to 12:30 PM on September 13, 2026. Candidates were given 2 hours and 30 minutes to attempt 120 objective-type questions.
Ques: How many questions were there in NDA 2 Maths 2026?
Ans: The NDA Mathematics paper consisted of 120 objective-type questions carrying a total of 300 marks. Each correct answer carries 2.5 marks.
Ques: How can I calculate my marks using NDA 2 Maths Answer Key 2026?
Ans: Candidates can award themselves 2.5 marks for every correct answer and deduct approximately 0.83 marks for every incorrect answer. No marks are deducted for unanswered questions. The total obtained after applying this marking scheme will provide an estimated Mathematics score.
Ques: What is the negative marking in NDA 2 Maths 2026?
Ans: One-third of the marks assigned to a question is deducted for an incorrect response. Since each NDA Mathematics question carries 2.5 marks, approximately 0.83 marks are deducted for every wrong answer.
Ques: Will detailed solutions be available with NDA 2 Maths Answer Key 2026?
Ans: Yes. Detailed solutions will be provided for important Mathematics questions to explain the formula, calculation and method used to obtain the correct answer. These solutions can help candidates identify conceptual and calculation errors.
Ques: Which topics have higher weightage in NDA Mathematics?
Ans: Based on previous NDA Mathematics papers, Algebra, Calculus, Analytical Geometry, Trigonometry, Statistics and Probability and Matrices and Determinants are among the recurring important areas. However, UPSC does not prescribe a fixed chapter-wise number of questions.
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