NDA (National Defence Academy)

How this paper is marked

The scored paper in the app is marked as MCQ. A correct answer is worth 2.5. A wrong answer costs -0.83.

English Language & Comprehension

Grammar Rules, Error Spotting, Cloze Test, One-Word Substitutions, Synonyms & Idioms

• Grammar & Sentence StructureCore grammar rules including tenses, subject-verb agreement, articles, prepositions and modals.
• VocabularyWord-meaning skills covering usage, connotation and contextual application of English words.
• Idioms & PhrasesMeaning and correct usage of common English idioms and phrasal expressions.
• Cloze Test & Reading ComprehensionFilling contextual blanks in a passage and answering questions based on reading passages.
• Sentence & Para RearrangementReordering shuffled sentence parts and jumbled sentences into a logical sequence.
• Active & Passive VoiceConverting sentences between active and passive voice while preserving meaning and tense.
• Direct & Indirect SpeechConverting sentences between direct narration and reported indirect speech.
• Spotting ErrorsIdentifying the grammatically incorrect part within a divided sentence.
• Sentence ImprovementChoosing the best alternative to correct a highlighted part of a sentence.
• Fill in the BlanksCompleting sentences with contextually and grammatically appropriate words.
• One Word SubstitutionReplacing a phrase or definition with a single precise word.
• Synonyms & AntonymsIdentifying words with similar or opposite meanings to a given word.
• Spelling CorrectionDetecting misspelt words and identifying correctly spelled options.
• Homonyms & HomophonesDistinguishing words that sound alike or are spelled alike but differ in meaning.

General Awareness

Indian Polity, History, Geography, Economy, General Science, Environment & Current Affairs

• Indian Polity & ConstitutionConstitution, fundamental rights, Parliament, judiciary, amendments and governance structures.
• Indian HistoryAncient, medieval and modern Indian history with emphasis on the freedom struggle.
• GeographyIndian and world physical geography including rivers, climate, soil and important places.
• General SciencePhysics, chemistry and biology concepts at around tenth-standard level.
• EconomicsBasic macroeconomics, Indian economy, banking, budget and economic reforms.
• Current AffairsNational and international events of the last several months including schemes, sports and awards.
• Static GKUnchanging general knowledge on dances, dams, first-in-India, superlatives and miscellaneous facts.
• Art & CultureIndian classical dances, music, paintings, festivals and cultural heritage.
• Awards & HonoursNational and international awards, their fields and recent recipients.
• SportsSports events, tournaments, cups, terminologies and recent winners.
• Books & AuthorsFamous books and their authors, both classical and recently released titles.
• Important Days & ThemesNational and international days, their dates and yearly observance themes.
• Government SchemesCentral and state government schemes, their objectives and associated ministries.
• National & International OrganizationsUN bodies and other important world and Indian organizations with their headquarters and heads.
• Environment & Pollution ControlEcosystems, biodiversity, air/water/soil/noise pollution, waste, EIA, and the Indian Acts and boards that control pollution — the RRB JE CBT-2 environment block, also asked in…

Mathematics (JEE & NDA)

Differential Calculus, Integral Calculus, Vectors, 3D Geometry & Matrices

• Sets, Relations and FunctionsSet operations and algebra, types of relations, equivalence relations, and one one, onto and composite functions.
• Complex Numbers and Quadratic EquationsAlgebra of complex numbers, modulus and argument, Argand plane, and roots and nature of quadratic equations.
• Matrices and DeterminantsAlgebra and types of matrices, evaluation of determinants, adjoint and inverse, and solving linear systems.
• Permutations and CombinationsFundamental principle of counting, arrangements and selections, and simple applications to counting problems.
• Binomial Theorem and Its Simple ApplicationsBinomial expansion for positive integral index, general and middle terms, and simple applications.
• Sequence and SeriesArithmetic and geometric progressions, arithmetic and geometric means, and the relation between the two means.
• Limits, Continuity, Differentiability and Applications of DerivativesLimits and continuity, differentiation rules, derivatives of standard functions, and applications like maxima, minima and rate of change.
• Integral CalculusIndefinite integration by substitution, parts and partial fractions, definite integrals, and areas bounded by curves.
• Differential EquationsOrder and degree of differential equations, separation of variables, homogeneous equations and linear first order equations.
• Coordinate Geometry: Straight Lines and CirclesCartesian coordinates, distance and section formulas, equations of straight lines, and the geometry of circles.
• Conic SectionsStandard equations and properties of the parabola, ellipse and hyperbola including foci, directrices and eccentricity.
• Three Dimensional GeometryCoordinates in space, direction cosines and ratios, equations of lines and planes, and distances and angles between them.
• Vector AlgebraAddition of vectors, scalar and vector products, scalar triple product and geometric applications of vectors.
• Statistics and ProbabilityMeasures of dispersion, probability of events, conditional probability, Bayes theorem and probability distributions.
• TrigonometryTrigonometric identities and equations, inverse trigonometric functions, and heights and distances applications.

Previous year papers

• NDA & Naval Academy Previous Year Question PapersOfficial papers with provenance, free to read.