BITSAT 2019 Online Test Syllabus (Section and Topic-wise)
The BITSAT 2019 online test will be conducted on the basis of NCERT syllabus for 11th and 12th class. The candidates have to prepare according to the topics mentioned in the BITSAT 2019 online test syllabus. Here we are providing you the complete section-wise and topic-wise syllabus of BITSAT online test.
The BITSAT 2019 Syllabus provides the details of the topics considered for questions asked in BITSAT examination. At the time of starting your BITSAT preparation, you should go through the syllabus carefully. During the course of preparation, you should revisit syllabus from time-to-time and keep an eye on your progress and more importantly make sure that no important topic is left out in any of the subject.
The BITSAT Syllabus for Physics, Chemistry and Mathematics is similar to JEE syllabus. If you prepare for JEE, it will automatically cover the BITSAT syllabus. There are 2 additional sections in BITSAT - English and Reasoning. You should go through the below syllabus of BITSAT 2019 and complete each topic to perform well in BITSAT 2019 examination.
BITSAT 2019 Online Test Syllabus
You can click on any link below to go directly to the detailed syllabus of a specific subject.
Part 1 : Physics Syllabus for BITSAT 2019
- 1. Units & Measurement
1.1 Units (Different systems of units, SI units, fundamental and derived units)
- 1.2 Dimensional Analysis
- 1.3 Precision and significant figures
- 1.4 Fundamental measurements in Physics (Vernier calipers, screw gauge, Physical balance etc)
- 2. Kinematics
2.1 Properties of vectors
- 2.2 Position, velocity and acceleration vectors
- 2.3 Motion with constant acceleration
- 2.4 Projectile motion
- 2.5 Uniform circular motion
- 2.6 Relative motion
- 3. Newton’s Laws of Motion
3.1 Newton’s laws (free body diagram, resolution of forces)
- 3.2 Motion on an inclined plane
- 3.3 Motion of blocks with pulley systems
- 3.4 Circular motion – centripetal force
- 3.5 Inertial and non-inertial frames
- 4. Impulse and Momentum
4.1 Definition of impulse and momentum
- 4.2 Conservation of momentum
- 4.3 Collisions
- 4.4 Momentum of a system of particles
- 4.5 Center of mass
- 5. Work and Energy
5.1 Work done by a force
- 5.2 Kinetic energy and work-energy theorem
- 5.3 Power
- 5.4 Conservative forces and potential energy
- 5.5 Conservation of mechanical energy
- 6. Rotational Motion
6.1 Description of rotation (angular displacement, angular velocity and angular acceleration)
- 6.2 Rotational motion with constant angular acceleration
- 6.3 Moment of inertia, Parallel and perpendicular axes theorems, rotational kinetic energy
- 6.4 Torque and angular momentum
- 6.5 Conservation of angular momentum
- 6.6 Rolling motion
- 7. Gravitation
7.1 Newton’s law of gravitation
- 7.2 Gravitational potential energy, Escape velocity
- 7.3 Motion of planets – Kepler’s laws, satellite motion
- 8. Mechanics of Solids and Fluids
- 8.2 Pressure, density and Archimedes’ principle
- 8.3 Viscosity and Surface Tension
- 8.4 Bernoulli’s theorem
- 9. Oscillations
9.1 Kinematics of simple harmonic motion
- 9.2 Spring mass system, simple and compound pendulum
- 9.3 Forced & damped oscillations, resonance
- 10. Waves
10.1 Progressive sinusoidal waves
- 10.2 Standing waves in strings and pipes
- 10.3 Superposition of waves, beats
- 10.4 Doppler Effect
- 11. Heat and Thermodynamics
11.1 Kinetic theory of gases
- 11.2 Thermal equilibrium and temperature
- 11.3 Specific heat, Heat Transfer - Conduction, convection and radiation, thermal conductivity, Newton’s law of cooling
- 11.4 Work, heat and first law of thermodynamics
- 11.5 2nd law of thermodynamics, Carnot engine – Efficiency and Coefficient of performance
- 12. Electrostatics
12.1 Coulomb’s law
- 12.2 Electric field (discrete and continuous charge distributions)
- 12.3 Electrostatic potential and Electrostatic potential energy
- 12.4 Gauss’ law and its applications
- 12.5 Electric dipole
- 12.6 Capacitance and dielectrics (parallel plate capacitor, capacitors in series and parallel)
- 13. Current Electricity
13.1 Ohm’s law, Joule heating
- 13.2 D.C circuits – Resistors and cells in series and parallel, Kirchoff’s laws, potentiometer and Wheatstone bridge
- 13.3 Electrical Resistance (Resistivity, origin and temperature dependence of resistivity).
- 14. Magnetic Effect of Current
14.1 Biot-Savart’s law and its applications
- 14.2 Ampere’s law and its applications
- 14.3 Lorentz force, force on current carrying conductors in a magnetic field
- 14.4 Magnetic moment of a current loop, torque on a current loop, Galvanometer and its conversion to voltmeter and ammeter
- 15. Electromagnetic Induction
15.1 Faraday’s law, Lenz’s law, eddy currents
- 15.2 Self and mutual inductance
- 15.3 Transformers and generators
- 15.4 Alternating current (peak and rms value)
- 15.5 AC circuits, LCR circuits
- 16. Optics
16.1 Laws of reflection and refraction
- 16.2 Lenses and mirrors
- 16.3 Optical instruments – telescope and microscope
- 16.4 Interference – Huygen’s principle, Young’s double slit experiment
- 16.5 Interference in thin films
- 16.6 Diffraction due to a single slit
- 16.7 Electromagnetic waves and their characteristics (only qualitative ideas), Electromagnetic spectrum
- 16.8 Polarization – states of polarization, Malus’ law, Brewster’s law
- 17. Modern Physics
17.1 Dual nature of light and matter – Photoelectric effect, De Broglie wavelength
- 17.2 Atomic models – Rutherford’s experiment, Bohr’s atomic model
- 17.3 Hydrogen atom spectrum
- 17.4 Radioactivity
- 17.5 Nuclear reactions : Fission and fusion, binding energy
- 18. Electronic Devices
18.1 Energy bands in solids (qualitative ideas only), conductors, insulators and semiconductors;
- 18.2 Semiconductor diode – I-V characteristics in forward and reverse bias, diode as a rectifier; I-V characteristics of LED, photodiode, solar cell, and Zener diode; Zener diode as a voltage regulator.
- 18.3 Junction transistor, transistor action, characteristics of a transistor; transistor as an amplifier (common emitter configuration) and oscillator
- 18.4 Logic gates (OR, AND, NOT, NAND and NOR). Transistor as a switch.
Part II : Chemistry Syllabus for BITSAT 2019
- 1. States of Matter
1.1 Measurement: Physical quantities and SI units, Dimensional analysis, Precision, Significant figures.
- 1.2 Chemical reactions: Laws of chemical combination, Dalton’s atomic theory; Mole concept; Atomic, molecular and molar masses; Percentage composition empirical & molecular formula; Balanced chemical equations & stoichiometry
- 1.3 Three states of matter, intermolecular interactions, types of bonding, melting and boiling points Gaseous state: Gas Laws, ideal behavior, ideal gas equation, empirical derivation of gas equation, Avogadro number, Deviation from ideal behaviour – Critical temperature, Liquefaction of gases, van der Waals equation.
- 1.4 Liquid state: Vapour pressure, surface tension, viscosity.
- 1.5 Solid state: Classification; Space lattices & crystal systems; Unit cell in two dimensional and
three dimensional lattices, calculation of density of unit cell – Cubic & hexagonal systems; Close
packing; Crystal structures: Simple AB and AB2 type ionic crystals, covalent crystals – diamond
& graphite, metals. Voids, number of atoms per unit cell in a cubic unit cell, ImperfectionsPoint
defects, non-stoichiometric crystals; Electrical, magnetic and dielectric properties;
Amorphous solids – qualitative description. Band theory of metals, conductors, semiconductors
and insulators, and n- and p- type semiconductors.
- 2. Atomic Structure
2.1 Introduction: Subatomic particles; Atomic number, isotopes and isobars, Thompson’s model and
its limitations, Rutherford’s picture of atom and its limitations; Hydrogen atom spectrum and
Bohr model and its limitations.
- 2.2 Quantum mechanics: Wave-particle duality – de Broglie relation, Uncertainty principle;
Hydrogen atom: Quantum numbers and wavefunctions, atomic orbitals and their shapes (s, p,
and d), Spin quantum number.
- 2.3 Many electron atoms: Pauli exclusion principle; Aufbau principle and the electronic
configuration of atoms, Hund’s rule.
- 2.4 Periodicity: Brief history of the development of periodic tables Periodic law and the modern
periodic table; Types of elements: s, p, d, and f blocks; Periodic trends: ionization energy,
atomic, and ionic radii, inter gas radii, electron affinity, electro negativity and valency.
Nomenclature of elements with atomic number greater than 100.
- 3. Chemical Bonding & Molecular Structure
3.1 Valence electrons, Ionic Bond: Lattice Energy and Born-Haber cycle; Covalent character of
ionic bonds and polar character of covalent bond, bond parameters.
- 3.2 Molecular Structure: Lewis picture & resonance structures, VSEPR model & molecular shapes
- 3.3 Covalent Bond: Valence Bond Theory- Orbital overlap, Directionality of bonds & hybridization
(s, p & d orbitals only), Resonance; Molecular orbital theory- Methodology, Orbital energy level
diagram, Bond order, Magnetic properties for homonuclear diatomic species (qualitative idea
- 3.4 Dipole moments; Hydrogen Bond.
- 4. Thermodynamics
4.1 Basic Concepts: Systems and surroundings; State functions; Intensive & Extensive Properties;
Zeroth Law and Temperature
- 4.2 First Law of Thermodynamics: Work, internal energy, heat, enthalpy, heat capacities and
specific heats, measurements of ∆U and ∆H, Enthalpies of formation, phase transformation,
ionization, electron gain; Thermochemistry; Hess’s Law, Enthalpy of bond dissociation,
combustion, atomization, sublimation, solution and dilution
- 4.3 Second Law: Spontaneous and reversible processes; entropy; Gibbs free energy related to
spontaneity and non-spontaneity, non-mechanical work; Standard free energies of formation,
free energy change and chemical equilibrium
- 4.4 Third Law: Introduction
- 5. Physical and Chemical Equilibria
5.1 Concentration Units: Mole Fraction, Molarity, and Molality
- 5.2 Solutions: Solubility of solids and gases in liquids, Vapour Pressure, Raoult’s law, Relative
lowering of vapour pressure, depression in freezing point; elevation in boiling point; osmotic
pressure, determination of molecular mass; solid solutions, abnormal molecular mass, van’t
Hoff factor. Equilibrium: Dynamic nature of equilibrium, law of mass action
- 5.3 Physical Equilibrium: Equilibria involving physical changes (solid-liquid, liquid-gas, solid-gas),
Surface chemistry, Adsorption, Physical and Chemical adsorption, Langmuir Isotherm, Colloids
and emulsion, classification, preparation, uses.
- 5.4 Chemical Equilibria: Equilibrium constants (KP, KC), Factors affecting equilibrium, LeChatelier’s
- 5.5 Ionic Equilibria: Strong and Weak electrolytes, Acids and Bases (Arrhenius, Lewis, Lowry and
Bronsted) and their dissociation; degree of ionization, Ionization of Water; ionization of
polybasic acids, pH; Buffer solutions; Henderson equation, Acid-base titrations; Hydrolysis;
Solubility Product of Sparingly Soluble Salts; Common Ion Effect.
- 5.6 Factors Affecting Equilibria: Concentration, Temperature, Pressure, Catalysts, Significance of
G and G
in Chemical Equilibria.
- 6. Electrochemistry
6.1 Redox Reactions: Oxidation-reduction reactions (electron transfer concept); Oxidation number;
Balancing of redox reactions; Electrochemical cells and cell reactions; Standard electrode
potentials; EMF of Galvanic cells; Nernst equation; Factors affecting the electrode potential;
Gibbs energy change and cell potential; Secondary cells; dry cells, Fuel cells; Corrosion and its
- 6.2 Electrolytic Conduction: Electrolytic Conductance; Specific and molar conductivities; variations
of conductivity with concentration , Kolhrausch’s Law and its application, Electrolysis,
Faraday’s laws of electrolysis; Electrode potential and electrolysis, Commercial production of
the chemicals, NaOH, Na, Al.
- 7. Chemical Kinetics
7.1 Aspects of Kinetics: Rate and Rate expression of a reaction; Rate constant; Order and
molecularity of the reaction; Integrated rate expressions and half life for zero and first order
- 7.2 Factor Affecting the Rate of the Reactions: Concentration of the reactants, catalyst; size of
particles, Temperature dependence of rate constant concept of collision theory (elementary idea,
no mathematical treatment); Activation energy.
- 7.3 Surface Chemistry : Adsorption – physisorption and chemisorption; factors affecting adsorption of gasses on solids;
catalysis: homogeneous and heterogeneous, activity and selectivity: enzyme catalysis, colloidal
state: distinction between true solutions, colloids and suspensions; lyophillic, lyophobic multi
molecular and macromolecular colloids; properties of colloids; Tyndall effect, Brownian
movement, electrophoresis, coagulations; emulsions–types of emulsions.
- 8. Hydrogen and s-block elements
8.1 Hydrogen: Element: unique position in periodic table, occurrence, isotopes; Dihydrogen:
preparation, properties, reactions, and uses; Molecular, saline, ionic, covalent, interstitial
hydrides; Water: Properties; Structure and aggregation of water molecules; Heavy water;
Hydrogen peroxide: preparation, reaction, structure & use, Hydrogen as a fuel.
- 8.2 s-block elements: Abundance and occurrence; Anomalous properties of the first elements in
each group; diagonal relationships; trends in the variation of properties (ionization energy,
atomic & ionic radii).
- 8.3 Alkali metals: Lithium, sodium and potassium: occurrence, extraction, reactivity, and electrode
potentials; Biological importance; Reactions with oxygen, hydrogen, halogens water; Basic
nature of oxides and hydroxides; Halides; Properties and uses of compounds such as NaCl,
Na2CO3, NaHCO3, NaOH, KCl, and KOH.
- 8.4 Alkaline earth metals: Magnesium and calcium: Occurrence, extraction, reactivity and electrode
potentials; Reactions with O2, H2O, H2 and halogens; Solubility and thermal stability of oxo
salts; Biological importance of Ca and Mg; Preparation, properties and uses of important
compounds such as CaO, Ca(OH)2, plaster of Paris, MgSO4, MgCl2, CaCO3, and CaSO4.
- 9. p- d- and f-block elements
9.1 General: Abundance, distribution, physical and chemical properties, isolation and uses of
elements; Trends in chemical reactivity of elements of a group; electronic configuration,
oxidation states; anomalous properties of first element of each group.
- 9.2 Group 13 elements: Boron; Properties and uses of borax, boric acid, boron hydrides & halides.
Reaction of aluminum with acids and alkalis;
- 9.3 Group 14 elements: Carbon: carbon catenation, physical & chemical properties, uses, allotropes
(graphite, diamond, fullerenes), oxides, halides and sulphides, carbides; Silicon: Silica, silicates,
silicone, silicon tetrachloride, Zeolites, and their uses
- 9.4 Group 15 elements: Dinitrogen; Preparation, reactivity and uses of nitrogen; Industrial and
biological nitrogen fixation; Compound of nitrogen; Ammonia: Haber’s process, properties and
reactions; Oxides of nitrogen and their structures; Properties and Ostwald’s process of nitric acid
production; Fertilizers – NPK type; Production of phosphorus; Allotropes of phosphorus;
Preparation, structure and properties of hydrides, oxides, oxoacids (elementary idea only) and
halides of phosphorus, phosphine.
- 9.5 Group 16 elements: Isolation and chemical reactivity of dioxygen; Acidic, basic and amphoteric
oxides; Preparation, structure and properties of ozone; Allotropes of sulphur;
Preparation/production properties and uses of sulphur dioxide and sulphuric acid; Structure and
properties of oxides, oxoacids (structures only).
- 9.6 Group 17 and group 18 elements: Structure and properties of hydrides, oxides, oxoacids of
halogens (structures only); preparation, properties & uses of chlorine & HCl; Inter halogen
compounds; Bleaching Powder; Uses of Group 18 elements, Preparation, structure and reactions
of xenon fluorides, oxides, and oxoacids.
- 9.7 d-Block elements: General trends in the chemistry of first row transition elements; Metallic
character; Oxidation state; ionization enthalpy; Ionic radii; Color; Catalytic properties; Magnetic
properties; Interstitial compounds; Occurrence and extraction of iron, copper, silver, zinc, and
mercury; Alloy formation; Steel and some important alloys; preparation and properties of
- 9.8 f-Block elements: Lanthanoids and actinoids; Oxidation states and chemical reactivity of
lanthanoids compounds; Lanthanide contraction and its consequences, Comparison of actinoids
- 9.9 Coordination Compounds: Coordination number; Ligands; Werner’s coordination theory;
IUPAC nomenclature; Application and importance of coordination compounds (in qualitative
analysis, extraction of metals and biological systems e.g. chlorophyll, vitamin B12, and
hemoglobin); Bonding: Valence-bond approach, Crystal field theory (qualitative); Isomerism
- 10. Principles of Organic Chemistry and Hydrocarbons
10.1 Classification: General Introduction, classification based on functional groups, trivial and
IUPAC nomenclature. Methods of purification: qualitative and quantitative,
- 10.2 Electronic displacement in a covalent bond: Inductive, resonance effects, and hyperconjugation;
free radicals; carbocations, carbanions, nucleophiles and electrophiles; types of organic
reactions, free radial halogenations.
- 10.3 Alkanes: Structural isomerism, general properties and chemical reactions, free redical
helogenation, combustion and pyrolysis.
- 10.4 Alkenes and alkynes: General methods of preparation and reactions, physical properties,
electrophilic and free radical additions, acidic character of alkynes and (1,2 and 1,4) addition to
- 10.5 Aromatic hydrocarbons: Sources; properties; isomerism; resonance delocalization; aromaticity;
polynuclear hydrocarbons; IUPAC nomenclature; mechanism of electrophilic substitution
reaction, directive influence and effect of substituents on reactivity; carcinogenicity and toxicity.
- 10.6 Haloalkanes and haloarenes: Physical properties, nomenclature, optical rotation, chemical
reactions and mechanism of substitution reaction. Uses and environmental effects; di, tri,
tetrachloromethanes, iodoform, freon and DDT.
- 11. Stereochemistry
11.1 Conformations: Ethane conformations; Newman and Sawhorse projections.
- 11.2 Geometrical isomerism in alkenes
- 12. Organic Compounds with Functional Groups Containing Oxygen and Nitrogen
12.1 General: Nomenclature, electronic structure, important methods of preparation, identification,
important reactions, physical and chemical properties, uses of alcohols, phenols, ethers,
aldehydes, ketones, carboxylic acids, nitro compounds, amines, diazonium salts, cyanides and
- 12.2 Specific: Reactivity of -hydrogen in carbonyl compounds, effect of substituents on alphacarbon
on acid strength, comparative reactivity of acid derivatives, mechanism of nucleophilic
addition and dehydration, basic character of amines, methods of preparation, and their
separation, importance of diazonium salts in synthetic organic chemistry.
- 13. Biological , Industrial and Environmental chemistry
13.1 Carbohydrates: Classification; Monosaccharides; Structures of pentoses and hexoses; Simple
chemical reactions of glucose, Disaccharides: reducing and non-reducing sugars – sucrose,
maltose and lactose; Polysaccharides: elementary idea of structures of starch, cellulose and
- 13.2 Proteins: Amino acids; Peptide bond; Polypeptides; Primary structure of proteins; Simple idea of
secondary , tertiary and quarternary structures of proteins; Denaturation of proteins and enzymes.
- 13.3 Nucleic Acids: Types of nucleic acids; Primary building blocks of nucleic acids (chemical
composition of DNA & RNA); Primary structure of DNA and its double helix; Replication;
Transcription and protein synthesis; Genetic code.
- 13.4 Vitamins: Classification, structure, functions in biosystems; Hormones
- 13.5 Polymers: Classification of polymers; General methods of polymerization; Molecular mass of
polymers; Biopolymers and biodegradable polymers; methods of polymerization (free radical,
cationic and anionic addition polymerizations); Copolymerization: Natural rubber; Vulcanization
of rubber; Synthetic rubbers. Condensation polymers.
- 13.6 Pollution: Environmental pollutants; soil, water and air pollution; Chemical reactions in
atmosphere; Smog; Major atmospheric pollutants; Acid rain; Ozone and its reactions; Depletion
of ozone layer and its effects; Industrial air pollution; Green house effect and global warming;
Green Chemistry, study for control of environmental pollution.
- 13.7 Chemicals in medicine, health-care and food: Analgesics, Tranquilizers, antiseptics,
disinfectants, anti-microbials, anti-fertility drugs, antihistamines, antibiotics, antacids;
Preservatives, artificial sweetening agents, antioxidants, soaps and detergents.
- 14. Theoretical Principles of Experimental Chemistry
14.1 Volumetric Analysis: Principles; Standard solutions of sodium carbonate and oxalic acid; Acidbase
titrations; Redox reactions involving KI, H2SO4, Na2SO3, Na2S2O3 and H2S; Potassium
permanganate in acidic, basic and neutral media; Titrations of oxalic acid, ferrous ammonium
sulphate with KMnO4, K2 Cr2O7/Na2S2O3, Cu(II)/Na2S2O3.
- 14.2 Qualitative analysis of Inorganic Salts: Principles in the determination of the cations Pb2+, Cu2+
As3+, Mn2+, Al3+, Zn2+, Co2+, Ca2+, Sr2+, Ba2+, Mg2+, NH4
, Fe3+, Ni2+ and the anions CO3
- 14.3 Physical Chemistry Experiments: preparation and crystallization of alum, copper sulphate.
Benzoic acid ferrous sulphate, double salt of alum and ferrous sulphate, potassium ferric
sulphate; Temperature vs. solubility; Study of pH charges by common ion effect in case of weak
acids and weak bases; pH measurements of some solutions obtained from fruit juices, solutions
of known and varied concentrations of acids, bases and salts using pH paper or universal
indicator; Lyophilic and lyophobic sols; Dialysis; Role of emulsifying agents in emulsification.
Equilibrium studies involving ferric and thiocyanate ions (ii) [Co(H2O)6]
2+ and chloride ions;
Enthalpy determination for strong acid vs. strong base neutralization reaction (ii) hydrogen
bonding interaction between acetone and chloroform; Rates of the reaction between (i) sodium
thiosulphate and hydrochloric acid, (ii) potassium iodate and sodium sulphite (iii) iodide vs.
hydrogen peroxide, concentration and temperature effects in these reactions
- 14.4 Purification Methods: Filtration, crystallization, sublimation, distillation, differential extraction,
and chromatography. Principles of melting point and boiling point determination; principles of
paper chromatographic separation – Rf values.
- 14.5 Qualitative Analysis of Organic Compounds: Detection of nitrogen, sulphur, phosphorous and
halogens; Detection of carbohydrates, fats and proteins in foodstuff; Detection of alcoholic,
phenolic, aldehydic, ketonic, carboxylic, amino groups and unsaturation.
- 14.6 Quantitative Analysis of Organic Compounds: Basic principles for the quantitative estimation of
carbon, hydrogen, nitrogen, halogen, sulphur and phosphorous; Molecular mass determination
by silver salt and chloroplatinate salt methods; Calculations of empirical and molecular
- 14.7 Principles of Organic Chemistry Experiments: Preparation of iodoform, acetanilide, p-nitro
acetanilide, di-benzayl acetone, aniline yellow, beta-naphthol; Preparation of acetylene and study
of its acidic character.
- 14.8 Basic Laboratory Technique:
Cutting glass tube and glass rod, bending a glass tube, drawing out a glass jet, boring of cork.
Part III : English Proficiency and Logical Reasoning for BITSAT 2019
- (a) English Proficiency
This test is designed to assess the test takers’ general proficiency in the use of English language as a means
of self-expression in real life situations and specifically to test the test takers’ knowledge of basic grammar,
their vocabulary, their ability to read fast and comprehend, and also their ability to apply the elements of
1.1 Agreement, Time and Tense, Parallel construction, Relative pronouns
- 1.2 Determiners, Prepositions, Modals, Adjectives
- 1.3 Voice, Transformation
- 1.4 Question tags, Phrasal verbs
- 2. Vocabulary
2.1 Synonyms, Antonyms, Odd Word, One Word, Jumbled letters,
- 2.2 Contextual meaning.
- 2.3 Analogy
- 3. Reading Comprehension
- 3.2 Vocabulary
- 3.3 Referents
- 3.4 Idioms/Phrases
- 3.5 Reconstruction (rewording)
- 4. Composition
- 4.2 Paragraph Unity
- 4.3 Linkers/Connectives
- (b) Logical Reasoning
The test is given to the candidates to judge their power of reasoning spread in verbal and nonverbal areas.
The candidates should be able to think logically so that they perceive the data accurately, understand the
relationships correctly, figure out the missing numbers or words, and to apply rules to new and different
contexts. These indicators are measured through performance on such tasks as detecting missing links,
following directions, classifying words, establishing sequences, and completing analogies.
5. Verbal Reasoning
Analogy means correspondence. In the questions based on analogy, a particular
relationship is given and another similar relationship has to be identified from the
- 5.2 Classification: Classification means to assort the items of a given group on the basis of certain common
quality they possess and then spot the odd option out.
- 5.3 Series Completion:
Here series of numbers or letters are given and one is asked to either complete the series or
find out the wrong part in the series.
- 5.4 Logical Deduction – Reading Passage:
Here a brief passage is given and based on the passage the candidate is required to identify
the correct or incorrect logical conclusions.
- 5.5 Chart Logic:
Here a chart or a table is given that is partially filled in and asks to complete it in
accordance with the information given either in the chart / table or in the question.
- 6. Nonverbal Reasoning
6.1 Pattern Perception:
Here a certain pattern is given and generally a quarter is left blank. The candidate is
required to identify the correct quarter from the given four alternatives.
- 6.2 Figure Formation and Analysis:
The candidate is required to analyze and form a figure from various given parts.
- 6.3 Paper Cutting:
It involves the analysis of a pattern that is formed when a folded piece of paper is cut into a
- 6.4 Figure Matrix:
In this more than one set of figures is given in the form of a matrix, all of them following
the same rule. The candidate is required to follow the rule and identify the missing figure.
- 6.5 Rule Detection:
Here a particular rule is given and it is required to select from the given sets of figures, a
set of figures, which obeys the rule and forms the correct series.
Part IV : Mathematics Syllabus for BITSAT 2019
- 1. Algebra
1.1 Complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus
and principal argument, triangle inequality, roots of complex numbers, geometric interpretations;
Fundamental theorem of algebra.
- 1.2 Theory of Quadratic equations, quadratic equations in real and complex number system and their
- 1.3 Arithmetic and geometric progressions, arithmetic, geometric and arithmetico- geometric series, sums
of finite arithmetic and geometric progressions, infinite geometric series, sums of squares and cubes of
the first n natural numbers.
- 1.4 Logarithms and their properties.
- 1.5 Exponential series.
- 1.6 Permutations and combinations, Permutations as an arrangement and combination as selection, simple
- 1.7 Binomial theorem for a positive integral index, properties of binomial coefficients, Pascal’s triangle
- 1.8 Matrices and determinants of order two or three, properties and evaluation of determinants, addition
and multiplication of matrices, adjoint and inverse of matrices, Solutions of simultaneous linear equations in two or three variables, elementary row and column operations of matrices, Types of
matrices, applications of determinants in finding the area of triangles.
- 1.9 Sets, Relations and Functions, algebra of sets applications, equivalence relations, mappings, one-one,
into and onto mappings, composition of mappings, binary operation, inverse of function, functions of
real variables like polynomial, modulus, signum and greatest integer.
- 1.10 Mathematical reasoning and methods of proofs , Mathematically acceptable statements. Connecting
words/phrases – consolidating the understanding of “ if and only if (necessary and sufficient)
condition”, “implies”, “and/or”, “implied” by”, “and”, “or”, “ there exists” and through variety of
examples related to real life and Mathematics. Validating the statements involving the connecting
words – difference between contradiction, converse and contra positive., Mathematical induction
- 1.11 Linear Inequalities, solution of linear inequalities in one variable ( Algebraic) and two variables
- 2. Trigonometry
2.1 Measurement of angles in radians and degrees, positive and negative angles, trigonometric ratios,
functions with their graphs and identities.
- 2.2 Solution of trigonometric equations.
- 2.3 Inverse trigonometric functions
- 3. Two-dimensional Coordinate Geometry
3.1 Cartesian coordinates, distance between two points, section formulae, shift of origin.
- 3.2 Straight lines and pair of straight lines: Equation of straight lines in various forms, angle between two
lines, distance of a point from a line, lines through the point of intersection of two given lines, equation
of the bisector of the angle between two lines, concurrent lines.
- 3.3 Circles: Equation of circle in standard form, parametric equations of a circle.
- 3.4 Conic sections : parabola, ellipse and hyperbola their eccentricity, directrices & foci.
- 4. Three dimensional Coordinate Geometry
4.1 Co-ordinate axes and co-ordinate planes, distance between two points, section formula, direction
cosines and direction ratios, equation of a straight line in space and skew lines.
- 4.2 Angle between two lines whose direction ratios are given, shortest distance between two lines.
- 4.3 Equation of a plane, distance of a point from a plane, condition for coplanarity of three lines, angles
between two planes, angle between a line and a plane.
- 5. Differential calculus
5.1 Domain and range of a real valued function, Limits and Continuity of the sum, difference, product and
quotient of two functions, Differentiability.
- 5.2 Derivative of different types of functions (polynomial, rational, trigonometric, inverse trigonometric,
exponential, logarithmic, implicit functions), derivative of the sum, difference, product and quotient of
two functions, chain rule, parametric form.
- 5.3 Geometric interpretation of derivative, Tangents and Normals
- 5.4 Increasing and decreasing functions, Maxima and minima of a function.
- 5.5 Rolle’s Theorem, Mean Value Theorem and Intermediate Value Theorem
- 6. Integral calculus
6.1 Integration as the inverse process of differentiation, indefinite integrals of standard functions.
- 6.2 Methods of integration: Integration by substitution, Integration by parts, integration by partial fractions,
and integration by trigonometric identities.
- 6.3 Definite integrals and their properties, Fundamental Theorem of Integral Calculus, applications in
finding areas under simple curves.
- 6.4 Application of definite integrals to the determination of areas of regions bounded by simple curves
- 7. Ordinary Differential Equations
7.1 Order and degree of a differential equation, formulation of a differential equation whole general
solution is given, variables separable method.
- 7.2 Solution of homogeneous differential equations of first order and first degree
- 7.3 Linear first order differential equations
- 8. Probability
8.1 Various terminology in probability, axiomatic and other approaches of probability, addition and
multiplication rules of probability
- 8.2 Conditional probability, total probability and Baye’s theorem
- 8.3 Independent events
- 8.4 Discrete random variables and distributions with mean and variance.
- 9. Vectors
9.1 Direction ratio/cosines of vectors, addition of vectors, scalar multiplication, position vector of a point
dividing a line segment in a given ratio.
- 9.2 Dot and cross products of two vectors, projection of a vector on a line.
- 9.3 Scalar triple products and their geometrical interpretations.
- 10. Statistics
10.1 Measures of dispersion
- 10.2 Analysis of frequency distributions with equal means but different variances
- 11. Linear Programming
11.1 Various terminology and formulation of linear Programming
- 11.2 Solution of linear Programming using graphical method, feasible and infeasible regions, feasible and
infeasible solutions, optimal feasible solutions (upto three nonitrivial constraints)
- 12. Mathematical modelling
12.1 Formulation of simple real life problem, solution using matrices, calculus and linear programming.
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