IIT- JEE Coaching – Two year classroom program of Prerna Education prepares a student for KVPY, IIT JEE Main, IIT JEE Advanced, BITSAT, VITEEE etc along with Boards Exams, which enables them get higher Marks in Boards and higher ranks in competitive exams to secure their admission in Top Most Engineering Colleges.

This curriculum is specifically aimed for Engineering aspirants who will take an early advantage by enrolling just after Class-10th Board Examination. This course is divided into two academic sessions. Initially, the course begins with the basic fundamental study as the students are not exposed to the syllabus and pattern of Engineering Entrance Exams.

This two-year course helps students to develop a solid foundation for competitive examinations like KVPY, Engineering Entrance Exams & various Olympiads. The academically stimulating environment, small batches and one to one interaction with the teacher ensures that even smallest doubts are cleared. Regular periodic tests are conducted to evaluate the learning of student at Motion.This course doesn’t clash with the preparation for the 12th board exams rather it compliments it.

**Top Engineering Entrance Exams in India:**

**JEE Main (Joint Entrance Examination):**

Purpose – For Admission in B. E./B. Tech., B. Arch., B. Planning

Eligibility – Class 12 pass (PCM)

Application mode – Online

**JEE Advanced:**

Purpose- Admission in UG program in IITs and ISM Dhanbad

Eligibility – Class 12 Pass (PCM)

Application mode -Online

**BITSAT:**

Purpose – Admission in Integrated First Degree program in BITS Pilani, Goa & Hyderabad campuses.

Eligibility – Class 12 pass (PCM)

Application mode – Online

**VITEEE (VIT University Engineering Entrance Exam) :**

Purpose – Admission in B Tech Courses

Eligibility – Class 12

Application mode – Online, By Post

**Various Olympiads:**

S. No. |
Name of the exam |
Eligible students |
Syllabus |
Website |

1 | NTSE (national talent search exam | 10 class students | Math, science , social science, mental ability | www.ncert.nic.in |

2 | KVPY (kishore vaigyanic protsahan yogana) | 12 class students | 12 class syllabus (PCMB) | www.kvpy.iisc.net.in |

3 | NSO (national science Olympiad) | 1-12 class students | CBSE / ICSE syllabus | www.sofworld.org |

4 | NCO (national cyber Olympiad) | 1-12 class students | CBSE / ICSE syllabus | www.sofworld.org |

5 | UCO (unified cyber Olympiad) | 8-12 class students | Mental ability, reasoning, computer skills | www.unifiedcouncil.com |

6 | NSTSE (national science talent search exam | 1-12 class students | CBSE / ICSE syllabus | www.unifiedcouncil.com |

7 | IMO (international mathematics Olympiad) | 1-12 class students | CBSE / ICSE syllabus | www.imoofficial.in |

8 | NSEJS (national standard exam in junior science) | 1-10 class students | CBSE / ICSE syllabus | www.iapt.org.in |

9 | SSTSE (state level science talent search exam) | 4-10 class students | SCERT syllabus | www.unified council.com |

10 | IOS (international Olympiad in science) | 1-12 class students | CBSE / ICSE syllabus | www.silverzone.org |

11 | RMO (regional mathematics Olympiad) | 12 class students | CBSE syllabus | www.isical.ac.in |

12 | IOEL (international Olympiad of English language) | 1-12 class students | CBSE / ICSE syllabus | www.silverzone.org |

13 | NSIB (national standard exam in biology) | 12 class students | CBSE syllabus | www.iapt.org.in |

14 | NSEC (national standard exam in chemistry) | 12 class students | CBSE syllabus | www.iapt.org.in |

15 | NSEA (national standard exam in astronomy | 12 class students | CBSE syllabus | www.iapt.org.in |

16 | NSEP (national standard exam in physics) | 12 class students | CBSE syllabus | www.iapt.org.in |

17 | Technotholon | 9-12 class students | CBSE syllabus | www.technotholon.org |

18 | NIMO (national interactive mathematics Olympiad) | 5-12 class students | CBSE syllabus | www.eduhealfoundation.org |

19 | NISO (national interactive science Olympiad) | 5-12 class students | CBSE syllabus | www.eduhealfoundation.org |

20 | IGKO (international general knowledge Olympiad) | 1-12 class students | CBSE / ICSE syllabus | http://aisect.org |

Course Commencement |
April-July of every year |

Course Completion |
After two years on 15th April subsequently |

Eligibility |
10th Passed or 11th Studying |

Admission |
IQ test/Admission cum Scholarship Test |

Duration |
Total 1150 hours (900+170+80) Lectures+Test+Sessions |

Classes & Tests Class |
Regular – 4 Days/Week , 4 Hour/Day Weekend (Sat, Sun) 7 Hours/Day |

Online Enquiry |
Enquire Now |

**Key Features of Program:**

- There is a quantum jump in the difficulty level from class 10th to class 11th MEDICAL and ENGINEERING. Students get rattled with the pressure because of school studies and preparations for competitive examinations simultaneously.
- Therefore we have scientifically designed this synchro-coaching program which covers both CBSE and JEE syllabus in strategic manner which require minimal extra effort over board exams.
- This course provides one stop solution for all your needs for CBSE and JEE preparations.
- We precede the syllabus as per NCERT sequence to make sure that the students always remain a step ahead in their studies and examinations at the school.
- The course consists of more than 1100 hours of classroom studying and is divided into eight phases. Each phase is followed by a phase test, which is also used as Reshuffling Test.

**Course Plan**

This course is divided into Two Academic Sessions and VI Phases. Initially, the course begins with the basic fundamental study as the students are not exposed to the syllabus and pattern of Olympiads & Entrance Exams. Gradually, students are taken to Olympiads and Competitive level.

**Academic Session-I (Class 11 ^{th})**

**Phase I **

Before starting actual syllabus for class XI, few concepts from lower classes, required for board & competitive examinations will be taken. For example, Mathematical Tools used in Physics, Fundamental Concepts of Chemistry (Acid & Base, Metals & Non-Metals, Chemical Reactions etc) and Math Basics (Logarithm, Inequalities, Theory of Equations & Inequations, Graphs etc.) will be taken up.

**Phase II**

Complete NCERT Syllabus of the class XI for all three subjects will be taken. This phase will be easy going and pace will be less compared to other phases. We will also treat this phase as confidence building phase, as they say well begun is half done.

**Phase III**

Revision of all topics of class XI with Topic tests every week followed by doubt session and extra class. Board Level and JEE Level Mock Test Papers covering complete class XI syllabus will be conducted. After this phase students will be given a break in the month of February to prepare for their Board Exam.

**Academic Session 2 (Class 12 ^{th})**

**Phase IV**

NCERT Syllabus of class XII will be covered. Motivational workshops will also be provided periodically during this phase. After completion of this phase students will be ready for their half yearly examinations at school. This methodology will help students to excel in their board exams. This phase will be completed before the Pre-Board Exams.

**Phase V**

Complete NCERT Syllabus of Class XII from board point of view will be revised. Ten board level, two JEE mains & two JEE advance level mock test papers will be conducted. After this phase students will be given break for self-study for final board examinations. Full telephonic support and doubt remedial classes will be provided to the students during break and final board exams.

**Phase VI**

Six days a week, Six hours lectures followed by one-hour test will be conducted during this phase. All-important topics from competitive point of view will be taken up. Five JEE Mains level and Five JEE Advance level mock test papers will be conducted during this phase.

**Class 11 ^{th} Physics Syllabus:**

**Unit I: Physical World and Measurement**

**Chapter – 1: Physical World**

- Physics – scope and excitement; nature of physical laws; Physics, technology and society.

**Chapter – 2: Units and Measurements**

- Need for measurement: Units of measurement; systems of units; SI units, fundamental and derived units. Length, mass and time measurements; accuracy and precision of measuring instruments; errors in measurement; significant figures.
- Dimensions of physical quantities, dimensional analysis and its applications.

**Unit II: Kinematics**

**Chapter – 3: Motion in a Straight Line**

- Frame of reference, Motion in a straight line: Position-time graph, speed and velocity.
- Elementary concepts of differentiation and integration for describing motion.Uniform and non-uniform motion, average speed and instantaneous velocity. Uniformly accelerated motion, velocity time and position-time graphs.
- Relations for uniformly accelerated motion (graphical treatment).

**Chapter – 4: Motion in a Plane**

- Scalar and vector quantities; Position and displacement vectors, general vectors and their notations; equality of vectors, multiplication of vectors by a real number; addition and subtraction of vectors. Relative velocity. Unit vector; Resolution of a vector in a plane – rectangular components. Scalar and Vector product of vectors.
- Motion in a plane, cases of uniform velocity and uniform acceleration-projectile motion. Uniform circular motion.

**Unit III: Laws of Motion**

**Chapter – 5: Laws of Motion**

- Intuitive concept of force. Inertia, Newton’s first law of motion; momentum and Newton’s second law of motion; impulse; Newton’s third law of motion.
- Law of conservation of linear momentum and its applications.
- Equilibrium of concurrent forces. Static and kinetic friction, laws of friction, rolling friction, lubrication.
- Dynamics of uniform circular motion: Centripetal force, examples of circular motion (vehicle on a level circular road, vehicle on banked road).

**Unit IV: Work, Energy and Power**

**Chapter – 6: Work, Engery and Power**

- Work done by a constant force and a variable force; kinetic energy, work-energy theorem, power.
- Notion of potential energy, potential energy of a spring, conservative forces: conservation of mechanical energy (kinetic and potential energies); non-conservative forces: motion in a vertical circle; elastic and inelastic collisions in one and two dimensions.

**Unit V: Motion of System of Particles and Rigid Body**

**Chapter – 7: System of Particles and Rotational Motion**

- Centre of mass of a two-particle system, momentum conservation and centre of mass motion.
- Centre of mass of a rigid body; centre of mass of a uniform rod.
- Moment of a force, torque, angular momentum, laws of conservation of angular momentum and its applications.
- Equilibrium of rigid bodies, rigid body rotation and equations of rotational motion, comparison of linear and rotational motions.
- Moment of inertia, radius of gyration.Values of moments of inertia, for simple geometrical objects (no derivation). Statement of parallel and perpendicular axes theorems and their applications.

**Unit VI: Gravitation**

**Chapter – 8: Gravitation**

- Keplar’s laws of planetary motion.The universal law of gravitation.
- Acceleration due to gravity and its variation with altitude and depth.
- Gravitational potential energy and gravitational potential. Escape velocity. Orbital velocity of a satellite. Geo-stationary satellites.

**Unit VII: Properties of Bulk Matter**

**Chapter – 9: Mechanical Properties of Solids**

- Elastic behaviour, Stress-strain relationship, Hooke’s law, Young’s modulus, bulk modulus, shear modulus of rigidity, Poisson’s ratio; elastic energy.

**Chapter – 10: Mechanical Properties of Fluids**

- Pressure due to a fluid column; Pascal’s law and its applications (hydraulic lift and hydraulic brakes). Effect of gravity on fluid pressure.
- Viscosity, Stokes’ law, terminal velocity, streamline and turbulent flow, critical velocity.Bernoulli’s theorem and its applications.
- Surface energy and surface tension, angle of contact, excess of pressure across a curved surface, application of surface tension ideas to drops, bubbles and capillary rise.

**Chapter – 11: Thermal Properties of Matter**

- Heat, temperature, thermal expansion; thermal expansion of solids, liquids and gases, anomalous expansion of water; specific heat capacity; Cp, Cv – calorimetry; change of state – latent heat capacity.
- Heat transfer-conduction, convection and radiation, thermal conductivity, Qualitative ideas of Blackbody radiation, Wein’s displacement Law, Stefan’s law, Green house effect.

**Unit VIII: Thermodynamics**

**Chapter – 12: Thermodynamics**

- Thermal equilibrium and definition of temperature (zeroth law of thermodynamics).Heat, work and internal energy. First law of thermodynamics. Isothermal and adiabatic processes.
- Second law of thermodynamics: reversible and irreversible processes. Heat engine and refrigerator.

**Unit IX: Behaviour of Perfect Gases and Kinetic Theory of Gases**

**Chapter – 13: Kinetic Theory**

- Equation of state of a perfect gas, work done in compressing a gas.
- Kinetic theory of gases – assumptions, concept of pressure. Kinetic interpretation of temperature; rms speed of gas molecules; degrees of freedom, law of equi-partition of energy (statement only) and application to specific heat capacities of gases; concept of mean free path, Avogadro’s number.

**Unit X: Oscillations and Waves**

**Chapter – 14: Oscillations**

- Periodic motion – time period, frequency, displacement as a function of time. Periodic functions.
- Simple harmonic motion (S.H.M) and its equation; phase; oscillations of a spring-restoring force and force constant; energy in S.H.M. Kinetic and potential energies; simple pendulum derivation of expression for its time period.
- Free, forced and damped oscillations (qualitative ideas only), resonance.

**Chapter – 15: Waves**

- Wave motion. Transverse and longitudinal waves, speed of wave motion. Displacement relation for a progressive wave. Principle of superposition of waves, reflection of waves, standing waves in strings and organ pipes, fundamental mode and harmonics, Beats, Doppler effect.

**Class 11 ^{th} Chemistry Syllabus:**

**Unit I: Some Basic Concepts of Chemistry**

- General Introduction: Importance and scope of chemistry.
- Nature of matter, laws of chemical combination, Dalton’s atomic theory: concept of elements, atoms and molecules.
- Atomic and molecular masses, mole concept and molar mass, percentage composition, empirical and molecular formula, chemical reactions, stoichiometry and calculations based on stoichiometry.

**Unit II: Structure of Atom**

- Discovery of Electron, Proton and Neutron, atomic number, isotopes and isobars. Thomson’s model and its limitations. Rutherford’s model and its limitations, Bohr’s model and its limitations, concept of shells and subshells, dual nature of matter and light, de Broglie’s relationship, Heisenberg uncertainty principle, concept of orbitals, quantum numbers, shapes of s, p and d orbitals, rules for filling electrons in orbitals – Aufbau principle, Pauli’s exclusion principle and Hund’s rule, electronic configuration of atoms, stability of half filled and completely filled orbitals.

**Unit III: Classification of Elements and Periodicity in Properties**

- Significance of classification, brief history of the development of periodic table, modern periodic law and the present form of periodic table, periodic trends in properties of elements -atomic radii, ionic radii, inert gas radii Ionization enthalpy, electron gain enthalpy, electronegativity, valency. Nomenclature of elements with atomic number greater than 100.

**Unit IV: Chemical Bonding and Molecular Structure**

- Valence electrons, ionic bond, covalent bond; bond parameters, Lewis structure, polar character of covalent bond, covalent character of ionic bond, valence bond theory, resonance, geometry of covalent molecules, VSEPR theory, concept of hybridization, involving s,p and d orbitals and shapes of some simple molecules, molecular orbital theory of homonuclear diatomic molecules (qualitative idea only), hydrogen bond.

**Unit V: States of Matter: Gases and Liquids**

- Three states of matter, intermolecular interactions, types of bonding, melting and boiling points, role of gas laws in elucidating the concept of the molecule, Boyle’s law, Charles law, Gay Lussac’s law, Avogadro’s law, ideal behaviour, empirical derivation of gas equation, Avogadro’s number, ideal gas equation. Deviation from ideal behaviour, liquefaction of gases, critical temperature, kinetic energy and molecular speeds (elementary idea)Liquid State- vapour pressure, viscosity and surface tension (qualitative idea only, no mathematical derivations)

**Unit VI: Chemical Thermodynamics**

- Concepts of System and types of systems, surroundings, work, heat, energy, extensive and intensive properties, state functions.
- First law of thermodynamics -internal energy and enthalpy, heat capacity and specific heat, measurement of ΔU and ΔH, Hess’s law of constant heat summation, enthalpy of bond dissociation, combustion, formation, atomization, sublimation, phase transition, ionization, solution and dilution. Second law of Thermodynamics (brief introduction)
- Introduction of entropy as a state function, Gibb’s energy change for spontaneous and non-spontaneous processes, criteria for equilibrium.
- Third law of thermodynamics (brief introduction).

**Unit VII: Equilibrium**

- Equilibrium in physical and chemical processes, dynamic nature of equilibrium, law of mass action, equilibrium constant, factors affecting equilibrium – Le Chatelier’s principle, ionic equilibrium-ionization of acids and bases, strong and weak electrolytes, degree of ionization, ionization of poly basic acids, acid strength, concept of pH, Henderson Equation, hydrolysis of salts (elementary idea), buffer solution, solubility product, common ion effect (with illustrative examples).

**Unit VIII: Redox Reaction**

- Concept of oxidation and reduction, redox reactions, oxidation number, balancing redox reactions, in terms of loss and gain of electrons and change in oxidation number, applications of redox reactions.

**Unit IX: Hydrogen**

- Position of hydrogen in periodic table, occurrence, isotopes, preparation, properties and uses of hydrogen, hydrides-ionic covalent and interstitial; physical and chemical properties of water, heavy water, hydrogen peroxide -preparation, reactions and structure and use; hydrogen as a fuel.

**Unit X: s -Block Elements (Alkali and Alkaline Earth Metals)**

**Group 1 and Group 2 Elements**

- General introduction, electronic configuration, occurrence, anomalous properties of the first element of each group, diagonal relationship, trends in the variation of properties (such as ionization enthalpy, atomic and ionic radii), trends in chemical reactivity with oxygen, water, hydrogen and halogens, uses.

**Preparation and Properties of Some Important Compounds:**

- Sodium Carbonate, Sodium Chloride, Sodium Hydroxide and Sodium Hydrogencarbonate, Biological importance of Sodium and Potassium. Calcium Oxide and Calcium Carbonate and their industrial uses, biological importance of Magnesium and Calcium.

**Unit XI: Some p -Block Elements**

- General Introduction to p – Block Elements
**Group 13 Elements:**General introduction, electronic configuration, occurrence, variation of properties, oxidation states, trends in chemical reactivity, anomalous properties of first element of the group, Boron – physical and chemical properties, some important compounds, Borax, Boric acid, Boron Hydrides, Aluminium: Reactions with acids and alkalies, uses.**Group 14 Elements:**General introduction, electronic configuration, occurrence, variation of properties, oxidation states, trends in chemical reactivity, anomalous behaviour of first elements. Carbon-catenation, allotropic forms, physical and chemical properties; uses of some important compounds: oxides. Important compounds of Silicon and a few uses: Silicon Tetrachloride, Silicones, Silicates and Zeolites, their uses.

**Unit XII: Organic Chemistry – Some Basic Principles and Technique**

- General introduction, methods of purification, qualitative and quantitative analysis, classification and IUPAC nomenclature of organic compounds. Electronic displacements in a covalent bond: inductive effect, electromeric effect, resonance and hyper conjugation. Homolytic and heterolytic fission of a covalent bond: free radicals, carbocations, carbanions, electrophiles and nucleophiles, types of organic reactions.

**Unit XIII: Hydrocarbons**

- Classification of Hydrocarbons
- Aliphatic Hydrocarbons:
- Alkanes – Nomenclature, isomerism, conformation (ethane only), physical properties, chemical reactions including free radical mechanism of halogenation, combustion and pyrolysis.
- Alkenes – Nomenclature, structure of double bond (ethene), geometrical isomerism, physical properties, methods of preparation, chemical reactions: addition of hydrogen, halogen, water, hydrogen halides (Markownikov’s addition and peroxide effect), ozonolysis, oxidation, mechanism of electrophilic addition.
- Alkynes – Nomenclature, structure of triple bond (ethyne), physical properties, methods of preparation, chemical reactions: acidic character of alkynes, addition reaction of – hydrogen, halogens, hydrogen halides and water.
- Aromatic Hydrocarbons: Introduction, IUPAC nomenclature, benzene: resonance, aromaticity, chemical properties: mechanism of electrophilic substitution. nitration, sulphonation, halogenation, Friedel Craft’s alkylation and acylation, directive influence of functional group in monosubstituted benzene. Carcinogenicity and toxicity.

**Unit XIV: Environmental Chemistry**

- Environmental pollution – air, water and soil pollution, chemical reactions in atmosphere, smog, major atmospheric pollutants, acid rain, ozone and its reactions, effects of depletion of ozone layer, greenhouse effect and global warming- pollution due to industrial wastes, green chemistry as an alternative tool for reducing pollution, strategies for control of environmental pollution.

**Class 11 ^{th} Mathematics Syllabus:**

**Unit-I: Sets and Functions**

**Sets**

Sets and their representations. Empty set. Finite and Infinite sets. Equal sets. Subsets. Subsets of a set of real numbers especially intervals (with notations). Power set. Universal set. Venn diagrams. Union and Intersection of sets. Difference of sets. Complement of a set. Properties of Complement Sets. Practical Problems based on sets.

**Relations & Functions**

Ordered pairs, Cartesian product of sets. Number of elements in the cartesian product of two finite sets. Cartesian product of the sets of real (upto R x R). Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special kind of relation from one set to another. Pictorial representation of a function, domain, co-domain and range of a function. Real valued functions, domain and range of these functions: constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer functions, with their graphs. Sum, difference, product and quotients of functions.

**Trigonometric Functions**

Positive and negative angles. Measuring angles in radians and in degrees and conversion of one into other. Definition of trigonometric functions with the help of unit circle. Truth of the sin^{2}x+cos^{2}x=1, for all x. Signs of trigonometric functions. Domain and range of trignometric functions and their graphs. Expressing sin (x±y) and cos (x±y) in terms of sinx, siny, cosx & cosy and their simple application. Deducing identities like the following:

Identities related to sin 2x, cos 2x, tan 2x, sin 3x, cos 3x and tan 3x. General solution of trigonometric equations of the type sin y = sin a, cos y = cos a and tan y = tan a.

**Unit-II: Algebra**

**Principle of Mathematical Induction**

Process of the proof by induction, motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers. The principle of mathematical induction and simple applications.

**Complex Numbers and Quadratic Equations**

Need for complex numbers, especially √1, to be motivated by inability to solve some of the quardratic equations. Algebraic properties of complex numbers. Argand plane and polar representation of complex numbers. Statement of Fundamental Theorem of Algebra, solution of quadratic equations in the complex number system. Square root of a complex number.

**Linear Inequalities**

Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical solution of linear inequalities in two variables. Graphical solution of system of linear inequalities in two variables.

**4. Permutations and Combinations**

Fundamental principle of counting. Factorial n. (n!)Permutations and combinations, derivation of formulae and their connections, simple applications.

**Binomial Theorem**

History, statement and proof of the binomial theorem for positive integral indices. Pascal’s triangle, General and middle term in binomial expansion, simple applications.

**Sequence and Series**

Sequence and Series. Arithmetic Progression (A.P.). Arithmetic Mean (A.M.) Geometric Progression (G.P.), general term of a G.P., sum of n terms of a G.P., Arithmetic and Geometric series infinite G.P. and its sum, geometric mean (G.M.), relation between A.M. and G.M. Formula for the following special sum:

**Unit-III: Coordinate Geometry**

**Straight Lines**

Brief recall of two dimensional geometry from earlier classes. Shifting of origin. Slope of a line and angle between two lines. Various forms of equations of a line: parallel to axis, point-slope form, slope-intercept form, two-point form, intercept form and normal form. General equation of a line. Equation of family of lines passing through the point of intersection of two lines. Distance of a point from a line.

**Conic Sections**

Sections of a cone: circles, ellipse, parabola, hyperbola; a point, a straight line and a pair of intersecting lines as a degenerated case of a conic section. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle.

**Introduction to Three-dimensional Geometry**

Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points and section formula.

**Unit-IV: Calculus**

**Limits and Derivatives**

Derivative introduced as rate of change both as that of distance function and geometrically.

Intutive idea of limit. Limits of polynomials and rational functions, trignometric, exponential and logarithmic functions. Definition of derivative, relate it to slope of tangent of a curve, derivative of sum, difference, product and quotient of functions. The derivative of polynomial and trignometric functions.

**Unit-V: Mathematical Reasoning**

**Mathematical Reasoning**

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 their use through variety of examples related to real life and Mathematics. Validating the statements involving the connecting words difference between contradiction, converse and contrapositive.

**Unit-VI: Statistics and Probability**

**Statistics**

Measures of dispersion; Range, mean deviation, variance and standard deviation of ungrouped/grouped data. Analysis of frequency distributions with equal means but different variances.

**Probability**

Random experiments; outcomes, sample spaces (set representation). Events; occurrence of events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events, Axiomatic (set theoretic) probability, connections with the theories of earlier classes. Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events.

# Admission Process

**Direct Admission**

**How to apply:**

Please fill-up the Enrollment Form available at our head-office in your own hand-writing and submit the same to us by post or personally with the Required Documents. Enrollment Form can also be downloaded from this website.

**Documents required:**

- Photocopy of document supporting DOB
- Photocopy of document supporting educational eligibility
- Two passport size photograph
- Any other supporting document to avail concession/scholarship.

**PRERNA ADMISSION CUM SCHOLARSHIP TEST**

Prerna Admission Cum Scholarship Test gives students a chance to win up to 100% scholarship and other cash awards to avail free of cost coaching for admission into Classroom Courses. The test offers students a platform to showcase their potential for Medicine/Engineering as a career.

Key Points:

- Instant Scholarship up to 100%
- A specially crafted Scholarship exam that will enable students of class 7th – 11th to recognize their potential at All-India level
- Scholarship on Tuition Fee

**Fee Structure:**

TOTAL COURSE FEES |
Rs. 1,90,000/- (excluding GST) |

GST @ 18% |
Rs. 34,200/- |

Total Fees |
Rs. 2,24,200/- |

Mode of Payment |
By cash/ Credit/Debit Card/ UPI Transfer/ Cheque |

Admission |
ACST Test/ Direct Admission |