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This is nothing but lessons to be studied while preparing for the exam. What is to be studied depends on the course the candidate is applying for through the exam. Study material can also be accessed at bookstores selling preparatory books for competitive exams, which are present in every state of India. Students who cannot access the study material from the bookshops can take refuge in the online world. Websites of popular coaching institutions and private individuals can be approached for the study material.
Study material can be accessed either free of cost or on payment of a certain amount from the websites. Popular online sales platforms also sell exam preparation books, and they can be purchased from them. The books can be obtained either in physical form or in electronic form on mobile phones or other devices. However, the syllabus is being provided below for the sake of the students:
What to be studied
| BE or B.Tech admission | Maths, Physics and Chemistry of 11th and 12 th standards |
| Pharmacy | Biology, Physics and Chemistry of 11th and 12th standards |
| LLM | Law lesson at the graduate level |
| MBA | Quantitative Aptitude, English, Logical Reasoning, General Knowledge, Verbal Ability, Data Interpretation |
Chemistry
| Class 11 | Class 12 |
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Physics
| Class 11 | Class 12 |
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Biology
| Class 11 | Class 12 |
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Maths
| Sets and their representation; Union, intersection and complement of sets and their algebraic properties; Power set; Relation, Types of relations, equivalence relations, functions. one-to-one, into and onto functions, and composition of functions. |
| Complex numbers as ordered pairs of reals, Representation of complex numbers in the form a+ib and their representation in a plane, Argand diagram, algebra of complex numbers, modulus and argument (or amplitude) of a complex number, square root of a complex number. |
| Matrices, algebra of matrices, types of matrices, determinants and matrices of order two and three. Properties of determinants, evaluation of determinants, and area of triangles using determinants. Adjoint and evaluation of inverse of a square matrix using determinants and elementary transformations, Test of consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices. |
| Binomial theorem for a positive integral index, general term and middle term, properties of Binomial coefficients and simple applications. |
| Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers. Relation between A.M. and G.M. |
| Real valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse functions. Limits, continuity and differentiability. Differentiation of the sum, difference, product and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives of order up to two. Rolle’s and Lagrange’s Mean Value Theorems. |
| Integral as an anti-derivative. Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts and by partial fractions. Integration using trigonometric identities. Evaluation of simple integrals of the type. Integral as limit of a sum. Properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form. |
| Ordinary differential equations, their order and degree. Formation of differential equations. Solution of differential equations by the method of separation of variables, solution of homogeneous and linear differential equations of the type: dy p (x) y = q (x)dx |
| Cartesian system of rectangular coordinates, 10 in a plane, distance formula, section formula, locus and its equation, slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axes. Straight lines, Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, distance of a point from a line, equations of internal and external bisectors of angles between two lines, equation of a family of lines passing through the point of intersection of two lines. Circles, conic sections Standard form of equation of a circle, general form of the equation of a circle, its radius and centre, equation of a circle when the end points of a diameter are given, points of intersection of a line and a circle with the centre at the origin and condition for a line to be tangent to a circle, equation of the tangent. |
| Coordinates of a point in space, distance between two points, section formula, direction ratios and direction cosines, and angle between two intersecting lines. Skew lines, the shortest distance between them and their equation. Equations of a line and a plane in different forms, intersection of a line and a plane, and coplanar lines. |
| Vectors and scalars, addition of vectors, components of a vector in two dimensions and three-dimensional space, scalar and vector products, scalar and vector triple product. |
| Measures of Dispersion: Calculation of mean, median, mode of grouped and ungrouped data, calculation of standard deviation, variance and mean deviation for grouped and ungrouped data. Probability: Probability of an event, addition and multiplication theorems of probability, Bayes’ theorem, probability distribution of a random variable, Bernoulli trials and Binomial distribution. |
| Trigonometrical identities and equations, trigonometrical functions, inverse trigonometrical functions and their properties, heights and Distances. |
English
| Agreement, Time and Tense, Parallel construction, Relative pronouns, Determiners, Prepositions, Modals, Adjectives, Voice, Transformation, Question tags, Phrasal verbs. |
| Synonyms, Antonyms, Odd Word, One Word, Jumbled letters, Homophones, Spelling, Contextual meaning, Analogy. |
| Content/ideas, Vocabulary, Referents, Idioms/Phrases, Reconstruction (rewording). |
| Rearrangement, Paragraph Unity, Linkers/Connectives. |
General Knowledge
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Important topics for the General Knowledge Section |
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Business and Economy |
Awards and Honours |
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Brands |
Logos |
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Taglines |
Company/Business entities |
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Days and Dates |
Government and Politics |
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International Bodies/News |
Literature and Media |
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Personalities |
Science & Technology |
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Sports and Movies |
Trade/Business Terminologies |
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Personalities |
Books & Authors |
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Arts & Music |
Indian History and World History |
Reasoning
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Important topics for the Reasoning Section |
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Alphanumeric series |
Analogies |
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Artificial Language |
Blood Relations |
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Calendars |
Cause and Effect |
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Clocks |
Coding-Decoding |
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Critical path |
Cubes and cuboids |
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Directions |
Input-Output |
Verbal Ability
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Important topics for the Verbal Ability Section |
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Etymology & Roots |
Idioms & Phrases |
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Analogies |
Antonyms-Synonyms |
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Foreign Words Noun & Pronoun Errors |
Subject-Verb Agreement |
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Prepositions and Conjunctions |
Tenses, Modifiers & Parallelism |
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Reading Comprehension |
Inference-based passages: Syllogisms |
Data Interpretation
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Column graphs |
Bar Graphs |
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Line charts |
Pie chart |
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Graphs representing Area |
Venn Diagram |
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Tabular Data |
DI based on text |
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