BITSAT - A Computer Based Online Test for admission to Integrated First Degree programmes of BITS, Pilani
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BITSAT is conducted by Birla Institute of Technology and Science (BITS)
Pilani (University established under Section 3 of the UGC Act.) every
year for addmissions to to Integrated First Degree programmes of BITS
Pilani, at Pilani campus, Goa campus, and Hyderabad Campus.
BITSAT entrance examination is total 3-hour duration (without break). The test consists of four parts:
Part I : Physics
Part II : Chemistry
Part III : (a) English Proficiency and (b) Logical Reasoning
Part IV : Mathematics
1. Students who have taken Mathematics and not Biology in 10+2 have to appear for Mathematics in Part IV
2. Students who have taken Biology in 10+2 and not Mathematics have to appear for Biology in Part IV.
3. Students who have taken both Mathematics and Biology in 10+2 can opt for either Mathematics or Biology in Part IV.
4. Candidates who appear in Biology in Part IV will be eligible for
admission to M.Sc. (Hons.) Biological Sciences and B.Pharm. (Hons.)
5 .Candidates who appear in Mathematics in Part IV will be eligible for
admission to any of the Integrated First degree programmes, including
M.Sc.(Hons.) Biological Sciences and B.Pharm.( Hons.).
All questions are of objective type
(multiple choice questions); each question with choice of four answers,
only one being correct choice. Each correct answer fetches 3 marks,
while each incorrect answer has a penalty of 1 mark. No marks are
awarded for not attempted questions. While the candidate can skip a
question, the computer will not allow the candidate to choose more than
one option as correct answer.
There will be 150 questions in all. The number of questions in each part is as follows:
Number of Questions
||(a) English Proficiency
(b) Logical Reasoning
There is no time limit for individual parts of the test. The candidate
can go back and change any of his/her answers among the 150 questions.
If a candidate answers all the 150 questions (without
skipping any question), the candidate will have an option of attempting
12 (twelve) extra questions, if there is still time left. These extra
questions will be from Physics, Chemistry, Mathematics / Biology only;
four questions from each part. Further, once the candidate has opted
for extra questions, he cannot go back for correction of any of the
earlier answered 150 questions.
The questions are so designed that a good student will be
able to answer 150 questions in 180 minutes. The extra questions (a
maximum of 12) will give a chance to highly meritorious candidates to
score higher. However, candidates should keep in mind the fact that
there is negative marking for wrong answers and any attempt to answer
the questions by pure guessing of the answers is not likely to have any
advantage, but may result in a reduction in the total score.
The questions will be selected at random from a large
question bank. Different candidates will get different question sets.
An expert committee will ensure that the question sets are of
comparable difficulty level, content, question type etc. In this
matter, the decision of the expert committee will be final and binding
on the candidate.
All the questions and instructions of the test will be in English only.
For admission to any of the above
Integrated First Degree programmes Candidates should
have passed the 12th examination of 10+2
system from a recognized Central or State board or its
equivalent with Physics, Chemistry, and Mathematics.
Further the candidate should have obtained a minimum of
aggregate 75% marks in Physics, Chemistry and
Mathematics subjects in 12th examination,
with at least 60% marks in each of the Physics,
Chemistry, and Mathematics subjects and should have
adequate proficiency in English.
Only Students who are appearing for 12th
examination in 2012 or who have passed 12th
Examination in 2011 only are eligible to appear in the
BITSAT-2012 test. Students who
have passed 12th examination in 2010 or
earlier are NOT eligible to appear in BITSAT-2012.
Students who are presently studying in BITS at any of
its campuses are not eligible to appear in BITSAT-2012
Admissions will be made purely on merit. The
merit position of the candidate for admission will be based on the score
obtained by the candidate in the BITSAT-2012. However, their
eligibility for admission is subject to fulfilling the requirement of
minimum marks in 12th examination, as mentioned above.
The Institute considers only the latest performance through a
public examination for admission. If the results of the latest
examination are not available within the due date for submission of
application, the candidate will not be considered even if there are some
earlier performances of 12th class or its equivalent or any higher
examination available with him/her. If a candidate has taken more than
one attempt in 12th class or its equivalent, only his latest performance
is considered, provided this attempt has been for the full component of
Direct Admission to Board Toppers:
In the past, admission process of the Institute always
ensured guaranteed admission to all the students who
obtained first ranks in their respective board examinations.
This has given a very vital input of highly meritorious
students from all over India. Continuing this tradition, the
Institute will give direct admission to first rank students
of all the central and state boards to the programme of
their choice, irrespective of their BITSAT-2012 score.
Eligibility criteria for admission under ‘Direct
admission to Board toppers’ scheme:
To be eligible for admission under the 'Direct admission to
Board toppers' scheme, the candidate should be the topper
from the science stream having taken Physics, Chemistry,
Mathematics subjects in 12th. To identify the topper, the following criteria
will be adopted.
a) has taken Physics, Chemistry, and Mathematics subjects in
b) has obtained the highest aggregate percentage of marks
in 12th among all the students who have taken Physics,
Chemistry, and Mathematics subjects in 2012 from the Board.
For the purpose of calculating the aggregate percentage, the
aggregate marks should include the marks of Physics,
Chemistry, and Mathematics subjects in addition to other
subjects which are required to pass the 12th examination
from the Board under consideration. Further, the Physics,
Chemistry, Mathematics subject marks should be included in
the aggregate, irrespective of whether the Physics,
Chemistry, and Mathematics subjects are identified as
main/optional/elective in his marksheet(s).
Applicants under the scheme should attach documentary proof
in support of their claim, along with the 12th mark sheet
and a letter from the Board declaring the candidate as the
topper in the specified stream. The Institute will also make
efforts to get these data from the different boards on its
own. In all cases, the Institute will be guided by the data
provided by the concerned Board. In cases where for a
particular board, the data available before the deadline is
insufficient or inconclusive, the admission committee may
decide not to make any offer under the scheme for that
specified Board. In all such cases, the decision of the Vice
chancellor will be final and binding on the applicants
Programmes Offered at BITS, Pilani - Pilani
B.E.(Hons.): Electrical and Electronics
B.E.(Hons.): Electronics & Communication
M.Sc.(Hons.): Biological Sciences
M.Sc.(Tech.): General Studies
Programmes Offered at BITS, Pilani - Goa
B.E.(Hons.): Electrical and Electronics
M.Sc.(Hons.): Biological Sciences
Programmes Offered at BITS, Pilani - Hyderabad
B.E.(Hons.): Electronics and Communications
B.E.(Hons.): Electrical and Electronics
M.Sc.(Hons.): Biological Sciences
Units & Measurement
- Units (Different systems of units, SI units, fundamental and derived units)
- Dimensional Analysis
- Precision and significant figures
- Fundamental measurements in Physics (Vernier calipers, screw gauge, Physical balance etc)
Newton’s Laws of Motion
- Properties of vectors
- Position, velocity and acceleration vectors
- Motion with constant acceleration
- Projectile motion
- Uniform circular motion
- Relative motion
Impulse and Momentum
- Newton’s laws (free body diagram, resolution of forces)
- Motion on an inclined plane
- Motion of blocks with pulley systems
- Circular motion – centripetal force
- Inertial and non-inertial frames
Work and Energy
- Definition of impulse and momentum
- Conservation of momentum
- Momentum of a system of particles
- Center of mass
- Work done by a force
- Kinetic energy and work-energy theorem
- Conservative forces and potential energy
- Conservation of mechanical energy
- Description of rotation (angular displacement, angular velocity and angular acceleration)
- Rotational motion with constant angular acceleration
- Moment of inertia, Parallel and perpendicular axes theorems, rotational kinetic energy
- Torque and angular momentum
- Conservation of angular momentum
Mechanics of Solids and Fluids
- Newton’s law of gravitation
- Gravitational potential energy, Escape velocity
- Motion of planets – Kepler’s laws, satellite motion
- Pressure, density and Archimedes’ principle
- Viscosity and Surface Tension
- Bernoulli’s theorem
- Kinematics of simple harmonic motion
- Spring mass system, simple and compound pendulum
- Forced & damped oscillations, resonance
Heat and Thermodynamics
- Progressive sinusoidal waves
- Standing waves in strings and pipes
- Superposition of waves, beats
- Doppler Effect
- Kinetic theory of gases
- Thermal equilibrium and temperature
- Specific heat
- Work, heat and first law of thermodynamics
- 2nd law of thermodynamics, Carnot engine – Efficiency and Coefficient of performance
- Coulomb’s law
- Electric field (discrete and continuous charge distributions)
- Electrostatic potential and Electrostatic potential energy
- Gauss’ law and its applications
- Electric dipole
- Capacitance and dielectrics (parallel plate capacitor, capacitors in series and parallel)
Magnetic Effect of Current
- Ohm’s law, Joule heating
- D.C circuits – Resistors and cells in series and parallel, Kirchoff’s laws, potentiometer and Wheatstone bridge,
- Electrical Resistance (Resistivity, origin and temperature dependence of resistivity).
- Biot-Savart’s law and its applications
- Ampere’s law and its applications
- Lorentz force, force on current carrying conductors in a magnetic field
- Magnetic moment of a current loop, torque on a current loop, Galvanometer and its conversion to voltmeter and ammeter
- Faraday’s law, Lenz’s law, eddy currents
- Self and mutual inductance
- Transformers and generators
- Alternating current (peak and rms value)
- AC circuits, LCR circuits
- Laws of reflection and refraction
- Lenses and mirrors
- Optical instruments – telescope and microscope
- Interference – Huygen’s principle, Young’s double slit experiment
- Interference in thin films
- Diffraction due to a single slit
- Electromagnetic waves and their characteristics (only qualitative ideas), Electromagnetic spectrum
- Polarization – states of polarization, Malus’ law, Brewster’s law
- Dual nature of light and matter – Photoelectric effect, De Broglie wavelength
- Atomic models – Rutherford’s experiment, Bohr’s atomic model
- Hydrogen atom spectrum
- Nuclear reactions : Fission and fusion, binding energy
States of Matter
- Measurement: Physical quantities and SI units, Dimensional analysis, Precision, Significant figures.
- Chemical reactions: Laws of chemical combination, Dalton’s atomic theory; Mole concept; Atomic, molecular and molar masses; Percentage composition & molecular formula; Balanced chemical equations & stoichiometry
- Gaseous state: Gas Laws, Kinetic theory – Maxwell distribution of velocities, Average, root mean square and most probable velocities and relation to temperature, Diffusion; Deviation from ideal behaviour – Critical temperature, Liquefaction of gases, van der Waals equation.
- Liquid state: Vapour pressure, surface tension, viscosity.
- Solid state: Classification; Space lattices & crystal systems; Unit cell – Cubic & hexagonal systems; Close packing; Crystal structures: Simple AB and AB2 type ionic crystals, covalent crystals – diamond & graphite, metals. Imperfections- Point defects, non-stoichiometric crystals; Electrical, magnetic and dielectric properties; Amorphous solids – qualitative description.
Chemical Bonding & Molecular Structure
- Introduction: Subatomic particles; Rutherford’s picture of atom; Hydrogen atom spectrum and Bohr model.
- 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.
- Many electron atoms: Pauli exclusion principle; Aufbau principle and the electronic configuration of atoms, Hund’s rule.
- Periodicity: Periodic law and the modern periodic table; Types of elements: s, p, d, and f blocks; Periodic trends: ionization energy, atomic and ionic radii, electron affinity, electro negativity and valency.
- Nucleus: Natural and artificial radioactivity; Nuclear reactions.
- Ionic Bond: Lattice Energy and Born-Haber cycle
- Molecular Structure: Lewis picture & resonance structures, VSEPR model & molecular shapes
- Covalent Bond: Valence Bond Theory- Orbital overlap, Directionality of bonds & hybridistaion (s & p orbitals only), Resonance; Molecular orbital theory- Methodology, Orbital energy level diagram, Bond order, Magnetic properties for homonuclear diatomic species.
- Metallic Bond: Qualitative description.
- Intermolecular Forces: Polarity; Dipole moments; Hydrogen Bond.
Physical and Chemical Equilibria
- Basic Concepts: Systems and surroundings; State functions; Intensive & Extensive Properties; Zeroth Law and Temperature
- First Law of Thermodynamics: Work, internal energy, heat, enthalpy, heat capacities; Enthalpies of formation, phase transformation, ionization, electron gain; Thermochemistry; Hess’s Law. Bond dissociation, combustion, atomization, sublimation, dilution
- Second Law: Spontaneous and reversible processes; entropy; Gibbs free energy related to spontaneity and non-mechanical work; Standard free energies of formation, free energy change and chemical equilibrium; Third Law and Absolute Entropies.
- Concentration Units: Mole Fraction, Molarity, and Molality
- 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.
- Physical Equilibrium: Equilibria involving physical changes (solid-liquid, liquid-gas, solid-gas), Adsorption, Physical and Chemical adsorption, Langmuir Isotherm.
- Chemical Equilibria: Equilibrium constants (KP, KC), Le-Chatelier’s principle.
- Ionic Equilibria: Strong and Weak electrolytes, Acids and Bases (Arrhenius, Lewis, Lowry and Bronsted) and their dissociation; Ionization of Water; pH; Buffer solutions; Acid-base titrations; Hydrolysis; Solubility Product of Sparingly Soluble Salts; Common Ion Effect.
- Factors Affecting Equilibria: Concentration, Temperature, Pressure, Catalysts, Significance of DG and DG0 in Chemical Equilibria.
- Redox Reactions: Oxidation-reduction reactions (electron transfer concept); Oxidation number; Balancing of redox reactions; Electrochemical cells and cell reactions; Electrode potentials; Idea of heterogeneous equilibria on the surface of the electrode; EMF of Galvanic cells; Nernst equation; Factors affecting the electrode potential; Gibbs energy change and cell potential; Concentration cells; Secondary cells; Fuel cells; Corrosion and its prevention.
- Electrolytic Conduction: Electrolytic Conductance; Specific, equivalent and molar conductivities; Kolhrausch’s Law and its application, Faraday’s laws of electrolysis; Coulometer; Electrode potential and electrolysis, Commercial production of the chemicals, NaOH, Na, Al2,Cl2 , & F2
Hydrogen and s-block elements
- 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 reactions; Determination of rate constant and order of reaction
- Factor Affecting the Rate of the Reactions: Concentration of the reactants, size of particles; Temperature dependence of rate constant; Activation energy; Catalysis, Surface catalysis, enzymes, zeolites; Factors affecting rate of collisions between molecules; Effect of light.
- Mechanism of Reaction: Elementary reactions; Complex reactions; Reactions involving two/three steps only; Photochemical reactions; Concept of fast reactions.
- Radioactive isotopes: Half-life period; Radiochemical dating.
p- d- and f-block elements
- Hydrogen: Element: unique position in periodic table, occurrence, isotopes; Dihydrogen: preparation, properties, reactions, and uses; Molecular, saline, interstitial hydrides; Water: Properties; Structure and aggregation of water molecules; Heavy water; Hydrogen peroxide; Hydrogen as a fuel.
- s-block elements: Abundance and occurrence; Anomalous properties of the first elements in each group; diagonal relationships.
- Alkali metals: Lithium, sodium and potassium: occurrence, extraction, reactivity, and electrode potentials; Biological importance; Reactions with oxygen, hydrogen, halogens and liquid ammonia; Basic nature of oxides and hydroxides; Halides; Properties and uses of compounds such as NaCl, Na2CO3, NaHCO3, NaOH, KCl, and KOH.
- Alkaline earth metals: Magnesium and calcium: Occurrence, extraction, reactivity and electrode potentials; Reactions with non-metals; Solubility and thermal stability of oxo salts; Biological importance; Properties and uses of important compounds such as CaO, Ca(OH)2, plaster of Paris, MgSO4, MgCl2, CaCO3, and CaSO4; Lime and limestone, cement.
- General: Abundance, distribution, physical and chemical
properties, isolation and uses of elements; Trends in chemical
reactivity of elements of a group;.
- Group 13 elements: Boron; Properties and uses of borax, boric
acid, boron hydrides & halides. Reaction of aluminum with acids and
- Group 14 elements: Carbon: Uses, Allotropes (graphite, diamond,
fullerenes), oxides, halides and sulphides, carbides; Silicon: Silica,
- Group 15 elements: Dinitrogen; Reactivity and uses of nitrogen
and its compounds; Industrial and biological nitrogen fixation;
Ammonia: Haber’s process, properties and reactions; Oxides of nitrogen
and their structures; Ostwald’s process of nitric acid production;
Fertilizers – NPK type; Production of phosphorus; Allotropes of
phosphorus; Preparation, structure and properties of hydrides, oxides,
Principles of Organic Chemistry and Hydrocarbons
- d-block elements: General trends in the chemistry of first row
transition elements; Metallic character; Oxidation state; Ionic radii;
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 CuSO4, K2Cr2O7, KMnO4, Mercury halides; Silver nitrate
and silver halides; Photography.
- f-block elements: Lanthanides and actinides; Oxidation states and
chemical reactivity of lanthanide compounds; Lanthanide contraction;
Comparison of actinides and lanthanides.
- 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);
Stability constants; Shapes, color and magnetic properties; Isomerism
including stereoisomerisms; Organometallic compounds.
- Classification: Based on functional groups, trivial and IUPAC nomenclature.
- Electronic displacement in a covalent bond: Inductive, resonance
effects, and hyperconjugation; free radicals; carbocations, carbanion,
nucleophile and electrophile; types of reactions.
- Alkanes and cycloalkanes: Structural isomerism and general properties.
- 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
- Aromatic hydrocarbons: Sources; Properties; Isomerism; Resonance
delocalization; polynuclear hydrocarbons; mechanism of electrophilic
substitution reaction, directive influence and effect of substituents
- Haloalkanes and haloarenes: Physical properties, chemical reactions.
- Petroleum: Composition and refining, uses of petrochemicals.
Organic Compounds with Functional Groups Containing Oxygen and Nitrogen
- Introduction: Chiral molecules; Optical activity; Polarimetry;
R,S and D,L configurations; Fischer projections; Enantiomerism;
Racemates; Diastereomerism and meso structures.
- Conformations: Ethane, propane, n-butane and cyclohexane conformations; Newman and sawhorse projections.
- Geometrical isomerism in alkenes
Biological , Industrial and Environmental chemistry
- General: Electronic structure, important methods of preparation,
important reactions and physical properties of alcohols, phenols,
ethers, aldehydes, ketones, carboxylic acids, nitro compounds, amines,
diazonium salts, cyanides and isocyanides.
- Specific: Effect of substituents on alpha-carbon on acid
strength, comparative reactivity of acid derivatives, basic character
of amines and their separation, importance of diazonium salts in
synthetic organic chemistry
Theoretical Principles of Experimental Chemistry
- The Cell: Concept of cell and energy cycle.
- Carbohydrates: Classification; Monosaccharides; Structures of
pentoses and hexoses; Anomeric carbon; Mutarotation; Simple chemical
reactions of glucose, Disaccharides: reducing and non-reducing sugars –
sucrose, maltose and lactose; Polysaccharides: elementary idea of
structures of starch and cellulose.
- Proteins: Amino acids; Peptide bond; Polypeptides; Primary
structure of proteins; Simple idea of secondary , tertiary and
quarternary structures of proteins; Denaturation of proteins and
- 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.
- Lipids, Hormones, Vitamins: Classification, structure, functions in biosystems.
- Polymers: Classification of polymers; General methods of
polymerization; Molecular mass of polymers; Biopolymers and
biodegradable polymers; Free radical, cationic and anionic addition
polymerizations; Copolymerization: Natural rubber; Vulcanization of
rubber; Synthetic rubbers. Condensation polymers.
- 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.
- Chemicals in medicine, health-care and food: Analgesics,
Tranquilizers, antiseptics, disinfectants, anti-microbials,
anti-fertility drugs, antihistamines, antibiotics, antacids; Cosmetics:
Creams, perfumes, talcum powder, deodorants; Preservatives, artificial
sweetening agents, antioxidants, and edible colours.
- Other Industrial Chemicals: Dyes: Classification with examples –
Indigo, methyl orange, aniline yellow, alizarin, malachite green;
Advanced materials: Carbon fibers, ceramics, micro alloys; Detergents;
Insect repellents, pheromones, sex attractants; Rocket Propellants.
- Volumetric Analysis: Principles; Standard solutions of sodium carbonate and oxalic acid; Acid-base titrations; Redox reactions involving KI, H2SO4, Na2SO3, Na2S2O3and H2S; Potassium permanganate in acidic, basic and neutral media; Titrations of oxalic acid, ferrous ammonium sulphate with KMnO4, K2 Cr2O7/Na2S2O3, Cu(II)/Na2S2O3
- Qualitative analysis of Inorganic Salts: Principles in the determination of the cations Pb2+, Cu2+, As3+, Mn2+, Zn2+, Co2+, Ca2+, Sr2+, Ba2+, Mg2+, NH4+, Fe3+, Ni2+ and the anions CO32-, S2-, SO42-, SO32-, NO2-, NO3-, Cl-, Br-, I-, PO43-, CH3COO-, C2O42-.
- Physical Chemistry Experiments: crystallization of alum, copper sulphate, ferrous sulphate, double salt of alum and ferrous sulphate, potassium ferric sulphate; Temperature vs. solubility; pH measurements; Lyophilic and lyophobic sols; Dialysis; Role of emulsifying agents in emulsification. Equilibrium studies involving (i) ferric and thiocyanate ions (ii) [Co(H2O)6]2+ and chloride ions; Enthalpy determination for (i) 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;
- 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.
- 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.
- 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; Elementary idea of mass spectrometer for accurate molecular mass determination; Calculations of empirical and molecular formulae.
- Principles of Organic Chemistry Experiments: Preparation of iodoform, acetanilide, p-nitro acetanilide, di-benzyl acetone, aniline yellow, beta-naphthol; Preparation of acetylene and study of its acidic character.
(a) English Proficiency and (b) Logical Reasoning
(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 effective writing.
- Agreement, Time and Tense, Parallel construction, Relative pronouns
- Determiners, Prepositions, Modals, Adjectives
- Voice, Transformation
- Question tags, Phrasal verbs
3. Reading Comprehension
- Synonyms, Antonyms, Odd Word, One Word, Jumbled letters,Homophones, Spelling
- Contextual meaning.
- Reconstruction (rewording)
(b) Logical Reasoning
- Paragraph Unity
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
6. Nonverbal Reasoning
- Analogy :- Analogy means correspondence. In the questions based on analogy, a particular relationship is given and another similar relationship has to be identified from the alternatives provided.
- 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.
- 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.
- 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.
- 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.
- 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.
- Figure Formation and Analysis : The candidate is required to analyze and form a figure from various given parts.
- Paper Cutting :
- It involves the analysis of a pattern that is formed when a folded piece of paper is cut into a definite design.
- 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.
- 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.
- Complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, roots of complex numbers, geometric interpretations.
- Theory of Quadratic equations, quadratic equations in real and complex number system and their solutions, relation between roots and coefficients, nature of roots, equations reducible to quadratic equations.
- Arithmetic, geometric and harmonic progressions, arithmetic, geometric and harmonic means, arithmetico-geometric series, sums of finite arithmetic and geometric progressions, infinite geometric series, sums of squares and cubes of the first n natural numbers.
- Logarithms and their properties.
- Exponential series.
- Permutations and combinations, Permutations as an arrangement and combination as selection, simple applications.
- Binomial theorem for a positive integral index, properties of binomial coefficients.
- 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.
- Sets, Relations and Functions, algebra of sets applications, equivalence relations, mappings, one-one, into and onto mappings, composition of mappings.
- Mathematical Induction
- Linear Inequalities, solution of linear inequalities in one and two variables.
3.Two-dimensional Coordinate Geometry
- Trigonometric ratios, functions and identities.
- Solution of trigonometric equations.
- Properties of triangles and solutions of triangles
- Inverse trigonometric functions
- Heights and distances
4.Three dimensional Coordinate Geometry
- Cartesian coordinates, distance between two points, section formulae, shift of origin.
- 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.
- Circles and family of circles : Equation of circle in various form, equation of tangent, normal & chords, parametric equations of a circle , intersection of a circle with a straight line or a circle, equation of circle through point of intersection of two circles, conditions for two intersecting circles to be orthogonal.
- Conic sections : parabola, ellipse and hyperbola their eccentricity, directrices & foci, parametric forms, equations of tangent & normal, conditions for y=mx+c to be a tangent and point of tangency.
- Direction cosines and direction ratios, equation of a straight line in space and skew lines.
- Angle between two lines whose direction ratios are given
- Equation of a plane, distance of a point from a plane, condition for coplanarity of three lines.
- Domain and range of a real valued function, Limits and Continuity of the sum, difference, product and quotient of two functions, Differentiability.
- 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.
- Geometric interpretation of derivative, Tangents and Normals.
- Increasing and decreasing functions, Maxima and minima of a function.
- Rolle’s Theorem, Mean Value Theorem and Intermediate Value Theorem.
7.Ordinary Differential Equations
- Integration as the inverse process of differentiation, indefinite integrals of standard functions.
- Methods of integration: Integration by substitution, Integration by parts, integration by partial fractions, and integration by trigonometric identities.
- Definite integrals and their properties, Fundamental Theorem of Integral Calculus and its applications.
- Application of definite integrals to the determination of areas of regions bounded by simple curves.
- Variables separable method.
- Solution of homogeneous differential equations.
- Linear first order differential equations
- Addition and multiplication rules of probability.
- Conditional probability
- Independent events
- Discrete random variables and distributions
- Addition of vectors, scalar multiplication.
- Dot and cross products of two vectors.
- Scalar triple products and their geometrical interpretations.
- Measures of dispersion
- Measures of skewness and Central Tendency
- Formulation of linear Programming
- Solution of linear Programming, using graphical method.
1.Pilani Campus of BITS
2. Goa Campus of BITS
3. Hyderabad Campus of BITS
13. Hyderabad City
31. Dubai Campus of BITS (International center)