NDA Syllabus and Exam Pattern for Maths and GAT

How the NDA selection runs from paper to academy

The route to the academy passes through three gates. The written exam is held on one day with Maths in the morning and GAT later. UPSC then publishes a list of candidates who crossed the written cut off and the sectional minimums. Those candidates are called to a Services Selection Board (SSB) for a five day interview made up of screening tests, psychology tests, outdoor group work, an interview and a conference. Those recommended go through a medical exam before a final merit list is drawn up.

Women candidates appear in the same exam and are ranked in a separate merit list. Air Force applicants also take the computerised pilot selection system at the SSB.

NDA exam pattern and marking scheme

The NDA marking scheme deducts one third of a question's marks for every wrong answer. A blank answer costs nothing. Papers are bilingual, in Hindi and English, except the English section of GAT. You need a minimum score in each paper as well as the overall written cut off; UPSC fixes those minimums every session, so check the result notice.

NDA syllabus for the Mathematics paper

The NDA maths syllabus follows Class 11 and 12 mathematics, and every chapter carries real weight. Here is the official list, grouped the way the notification groups it.

• Algebra: sets, Venn diagrams, De Morgan laws, relations and equivalence relations, complex numbers with modulus, argument and cube roots of unity, binary system and decimal to binary conversion, arithmetic, geometric and harmonic progressions, quadratic equations, linear inequations in two variables solved graphically, permutations and combinations, binomial theorem, logarithms.
• Matrices and determinants: types of matrices, operations, properties of determinants, adjoint and inverse, solving linear equations by Cramer's rule and the matrix method.
• Trigonometry: degree and radian measure, ratios and identities, sum and difference formulae, multiple and sub multiple angles, inverse trigonometric functions, heights and distances, properties of triangles.
• Analytical geometry of two and three dimensions: distance formula, equations of a line in various forms, angle between lines, distance of a point from a line, circle, parabola, ellipse and hyperbola in standard form, direction cosines and ratios, equations of a plane and a line, sphere.
• Differential calculus: functions, domain and range, composite, one to one, onto and inverse functions, limits and continuity, derivatives and their meaning, chain rule, second order derivatives, increasing and decreasing functions, maxima and minima.
• Integral calculus and differential equations: integration by substitution and by parts, standard integrals, definite integrals and areas bounded by curves, order and degree of a differential equation, first order first degree equations, growth and decay problems.
• Vector algebra: vectors in two and three dimensions, unit and null vectors, dot and cross product, work done and moment of a force.
• Statistics and probability: frequency distributions, histograms, pie charts and frequency polygons, mean, median and mode, variance and standard deviation, correlation and regression, sample space and events, classical probability, conditional probability, Bayes' theorem, random variables and binomial distribution.

NDA English syllabus in GAT Part A

Part A of GAT is English for 200 marks, which means 50 questions at 4 marks each. The official note says this part checks how well you understand and use English, through grammar and usage, vocabulary, comprehension and cohesion in extended text. In practice you will see spotting errors, sentence improvement, synonyms and antonyms, idioms, ordering of sentences, fill in the blanks and one or two reading passages.

English is the one part of GAT you can lift quickly with daily reading and grammar drills, and its 200 marks equal two thirds of the whole maths paper.

General knowledge in GAT Part B with weightage

Part B carries 400 marks through 100 questions. The official syllabus gives an approximate share for each area, which tells you how to divide your hours.

A twelve week plan built around the marks

Maths decides most NDA results because it is a separate paper with its own minimum. Give it the first slot of every day.

1. Weeks 1 to 4: algebra, trigonometry and matrices in maths; grammar rules and 20 new words a day in English; physics basics.
2. Weeks 5 to 8: coordinate geometry, calculus and vectors; chemistry and general science; one reading passage a day.
3. Weeks 9 to 10: statistics and probability; history and geography of India; start a news notebook for current events.
4. Weeks 11 to 12: a full timed paper of each kind every other day, using the NDA previous year question papers, then analyse every wrong answer.

Which books to use for NDA prep

NCERT textbooks are the backbone here. Class 11 and 12 maths covers almost every chapter in the list above, and Class 9 and 10 science, history and geography books cover most of Part B. Add any standard book of NDA style solved papers, a basic English grammar book with exercises, and a monthly current affairs summary. Keep the official syllabus of NDA exam printed and tick each topic as you finish it.

NDA syllabus in Hindi

एनडीए परीक्षा में दो लिखित पेपर होते हैं। गणित का पेपर 300 अंक का है जिसमें 120 प्रश्न पूछे जाते हैं। इसमें बीजगणित, आव्यूह और सारणिक, त्रिकोणमिति, निर्देशांक ज्यामिति, अवकल और समाकल कलन, सदिश, सांख्यिकी और प्रायिकता शामिल हैं। सामान्य योग्यता परीक्षा 600 अंक की है। इसके भाग A में अंग्रेजी 200 अंक की और भाग B में 400 अंक का सामान्य ज्ञान रहता है। इसमें भौतिकी, रसायन, सामान्य विज्ञान, इतिहास, भूगोल और समसामयिक घटनाएँ पूछी जाती हैं। हर गलत उत्तर पर एक तिहाई अंक कटते हैं। लिखित परीक्षा पास करने के बाद 900 अंक का एसएसबी इंटरव्यू होता है।

If you searched for nda ka syllabus kya hai, the short answer is the two papers above plus the SSB stage.