Paper I covers Class 11 and 12 level Mathematics. Paper II (GAT) has Part A English (200 marks) and Part B General Knowledge (400 marks) with Physics, Chemistry, General Science, History, Geography and current events. The official notice gives an approximate share for each GK section.
Mathematics: Algebra
- Sets, Venn diagrams, De Morgan laws
- Relations and functions
- Complex numbers
- Conversion between binary and decimal
- Arithmetic, geometric and harmonic progressions
- Quadratic equations and linear inequations
- Permutations and combinations
- Binomial theorem
- Logarithms
Mathematics: Matrices and Determinants
- Types of matrices and operations
- Determinants and their properties
- Adjoint and inverse of a matrix
- Solving linear equations using matrices (Cramer's rule)
Mathematics: Trigonometry
- Angles in degrees and radians
- Trigonometric ratios and identities
- Sum and difference formulae, multiple and sub-multiple angles
- Inverse trigonometric functions
- Heights and distances
- Properties of triangles
Mathematics: Analytical Geometry (2D and 3D)
- Rectangular coordinates, distance formula
- Straight lines: forms, angle between lines, distance of a point from a line
- Circle
- Parabola, ellipse and hyperbola
- 3D: direction cosines and ratios, lines and planes, sphere
Mathematics: Differential Calculus
- Functions, domain and range
- Limits and continuity
- Derivatives and their meaning
- Derivatives of sum, product, quotient and composite functions
- Second-order derivatives
- Increasing and decreasing functions
- Maxima and minima
Mathematics: Integral Calculus and Differential Equations
- Integration by substitution and by parts
- Standard integrals (algebraic, trigonometric, exponential, logarithmic)
- Definite integrals and area under curves
- Order and degree of differential equations
- Forming and solving first-order differential equations
- Growth and decay problems
Mathematics: Vector Algebra
- Vectors in 2D and 3D, magnitude and direction
- Unit and null vectors, addition, scalar multiplication
- Dot and cross product
- Applications: work done, moment of a force, geometry problems
Mathematics: Statistics and Probability
- Classification and frequency distribution of data
- Histograms, pie charts, frequency polygons
- Mean, median, mode; variance and standard deviation
- Correlation and regression
- Random experiments, sample space and events
- Addition and multiplication theorems, conditional probability
- Bayes' theorem
- Binomial distribution
GAT Part A: English (200 marks)
- Grammar and usage (error spotting, sentence improvement)
- Vocabulary: synonyms, antonyms, idioms
- Reading comprehension
- Cohesion in passages: ordering of sentences and parts, cloze test
GAT Part B Section A: Physics (about 25% of GK)
- Physical properties and states of matter
- Mass, weight, volume, density, specific gravity
- Motion, Newton's laws, force and momentum
- Work, power and energy
- Heat and temperature
- Sound and light (reflection, refraction, lenses, human eye)
- Magnetism and electricity: current, circuits, conductors
- Simple machines, levers, pulleys
GAT Part B Section B: Chemistry (about 15% of GK)
- Physical and chemical changes
- Elements, mixtures and compounds; symbols, formulae and equations
- Properties of air and water
- Hydrogen, oxygen, nitrogen and carbon dioxide
- Acids, bases and salts
- Carbon and its forms
- Fertilisers
- Atomic structure, valency, equivalent and molecular weight
GAT Part B Section C: General Science (about 10% of GK)
- Living and non-living things, cells
- Plant and animal growth and reproduction
- Human body and its organs
- Common diseases, causes and prevention
- Food and balanced diet
- Solar system, meteors, comets, eclipses
- Achievements of eminent scientists
GAT Part B Section D: History and Freedom Movement (about 20% of GK)
- Broad survey of Indian history and culture
- Indian freedom movement
- Constitution and administration of India
- Five-Year Plans and planning in India
- Panchayati Raj, co-operatives, community development
- Bhoodan, Sarvodaya, national integration, welfare state
- Gandhiji's teachings
- Forces shaping the modern world: Renaissance, French and Industrial Revolutions, World Wars
- India and the United Nations
GAT Part B Section E: Geography (about 20% of GK)
- The Earth: shape, size, latitudes and longitudes, time
- Origin of the Earth; rocks and weathering
- Earthquakes and volcanoes
- Ocean currents and tides
- Atmosphere, climate, pressure belts, winds, cyclones
- Major natural regions of the world
- Geography of India: climate, rivers, natural vegetation, minerals and power
- Agriculture and industry of India
- Important sea ports, transport and trade of India
GAT Part B Section F: Current Events (about 10% of GK)
- Important events in India in recent years
- Important world events
- Prominent people of India and the world
- Recent events in culture and sports
Not yet confirmed on the official website. Check the official notice before you act on it.
Source: media.ssbcrackexams.com