SCRA NOTIFICATION, SCRA SYLLABUS, SCRA EXAM 2015, SCRA SELECTION PROCEDURE, SCRA VACANCY DETAILS, SCRA COACHING, SCRA INSTITUTE, SCRA COACHING CLASSES, SCRA COACHING INSTITUTE IN DELHI, SCRA PREPARATION

**Special Class Railway Apprentices Exam 2015 – Apply Online for 42 Posts**

**SBP INSTITUTE** is the best coaching institute for** Special Class Railway Apprentices Examination** had. Fresh batches for **Special Class Railway Apprentices Examination 2015** are going to start. **SBP Coaching Institute** is the well known coaching institute in **Delhi-NCR** that provides coaching for **Special Class Railway Apprentices **entrance exams. At **SBP Coaching Institute**, we constantly strive to improve our teaching methodology, study material and classroom assignments. The Course Methodology is dynamic as it takes into account the changes that we notice in the pattern of the examination. **SBP institute** is a professionally managed and organized **Special Class Railway Apprentices ****coaching centre in Delhi, **offering best coaching and preparing the job aspirants for the post of **Special Class Railway Apprentices Examination.**

**Special Class Railway Apprentices Exam 2015 – Apply Online for 42 Posts**: Union Public Service Commission (UPSC) invites applications for conducting **Special Class Railway Apprentices Examination**, 2015 to select candidates for the appointment as Special Class Apprentices in Mechanical Department of Indian Railways. Eligible candidates can apply online from **11-10-2014 to 07-11-2014** by 11:59 PM. Other details like age limit, educational qualification, selection procedure and how to apply are given below…

**Special Class Railway Apprentices Exam 2015 Vacancy Details:**

**Total No of Posts**: 42

**Name of the Exam**: SCRA Exam 2015

**Age Limit:** Candidate should have attained the age of 17 years and must not have attained the age of 21 years on 01-01-2015 i.e candidates should have born not earlier than 02-01-1994 and not latter than 01-01-1998. Age relaxations is applicable for SC/ ST/ OBC candidates as per rules.

**Educational Qualification**: Candidates should have passed in the first or second division, the Intermediate or an equivalent Examination of a University or Board approved by Govt of India with Mathematics and at least one of the subjects Physics and Chemistry as subjects of the examination. Graduates with Mathematics and at least one of the subjects Physics and Chemistry as their degree subjects.

**Selection Process:** Candidates are selected based on Written Examination & Interview.

**Application Fee:** Candidates have to pay Rs. 100/- either by depositing the money in any Branch of SBI by cash or by using net banking facility of State Bank of India/ State Bank of Bikaner & Jaipur/ State Bank of Hyderabad/ State Bank of Mysore/ State Bank of Patiala/ State Bank of Travancore or by using Visa/ Master Credit/ Debit card and no fee for SC/ ST/ Female/ PH candidates.

**How to Apply:** Eligible candidates can apply online through the website www.upsconline.nic.in from 11-10-2014 to 07-11-2014 by 11:59 PM.

Instructions to Apply Online:

1. Before applying candidates have to scan photo and signature in .jpg format with file not exceeding 40 KB each and not less than 3 KB for Photo and 1 KB for Signature.

2. Candidates should have valid and active Email id.

3. Log on to the website www.upsconline.nic.in.

4. Click on the link “ONLINE APPLICATION FOR VARIOUS EXAMINATIONS OF UPSC”.

5. Select the appropriate Post and click on “Click Here (Part -I)”.

6. Fill all the mandatory fields like name, gender, etc and click on “Continue”.

7. System will generate Registration-Id, retain it for further use.

8. Make payment as mentioned in application fee and retain the details for entering in Part -II registration.

9. Again Relogin and click on “Click Here (Part-II)”.

10. Login by using Registration-Id & Date of Birth.

11. Fill all the required details and upload scanned photo and signature and click on “Submit” Button.

12. After submission of Online Application take print out of finally submitted application and retain it for future use.

**Important Dates:**

**Date of Notification**: 11-10-2014.

**Starting Date of Online Application**: 11-10-2014.

**Last Date for Submission of Online Application**: 07-11-2014 by 11:59 PM.

**Date of Written Examination:** 18-01-2015.

**UPSC SCRA Eligibility Criteria**

**UPSC SCRA Eligibility Criteria**: Union Public Service Commission conducts the Special Class Railway Apprentices’ Examination to select candidates for the Mechanical Department of Indian Railways. The SCRA exam eligibility details has given below.

**1. Nationality:** A Candidate must be either

**i.** a citizen of India, or

**ii.** a subject of Nepal, or

**iii. **a subject of Bhutan, or

**iv. **a Tibetan refugee who came over to India before the 01 January , 1962 with the intention of permanently settling in India, or

**(v).** a Person of Indian origin who has migrated from Pakisthan, Burma, Sri Lanka and East African countries of Kenya, Uganda, the United Republic of Tanzania, Zambia, Malawim Zaire and Ethiopia or Vietnam with the intention of permanently setting in India.

Provided that a candidate belonging to categories (ii), (iii), (iv) and (v) above shall be a person in whose favour a certificate of eligibility has been issued by the Government of India.

**2. Age:** A candidate must have attained the age of 17 years and must not have attained the age of 21 years as on 01-01-2015 i.e he/she must have been born not earlier than 02-01-1994 and not later than 01-01-1998.

**3. Age Relaxations:**

(a)The Age relaxable for SC/ST candidates 5 years

(b)Age relaxable for OBC candidates 3 years

(c)Age relaxable for 3 years in case of defence services personnel disabled in operations during hostilities with any foreign country or disturbed area.

(d) 5 years Age relaxable for Ex-service men including commissioned officers and ECOs/SSCOs who have completed an initial period of a assignment of 5 years military service .(As the date given in advt)

(e) 5 years age relaxable in the case of ECOs /SSCOs who have completed an initial period of assignment of 5 years of military service.(As the date given in advt).

(f) Ten years Age relaxation for blind, deaf, deaf, mute and orthopaedically handicapped candidates.

(g) 5 years age relaxable if a candidate had ordinaly been domiciled in the state of Jammu & Kashmir during the period from the 01-01-1980 to 31-12-1989.

**4. Educational Qualifications:**

**(i)** The candidate must have passed in the first or second division in the intermediate or an equivalent examination of a recognised university or board approved by the Government of India with Mathematics and at least one of the subjects Physics and Chemistry as subjects of the examination.

Graduates with Mathematics and at least one of the subjects Physics and Chemistry as their degree subjects may also apply.

(or)

**(ii)** The candidate must have passed in the first or second division in the higher secondary(12 years)examination under 10+2 pattern of school education with Mathematics and at least one of the subject Physics and Chemistry as subjects of the examination.

(or)

**(iii)** The candidates must passed the 1st year examination under the 3 years degree course from the recognized university or the first examination of the three years diploma course in Rural Service of the National Council for Rural Higher Education or the third year Examination for promotion to the 4th year of the four year B.A./B.Sc.(Evening College)Course of the Madras University with Mathematics and at least one of the subjects Physics and Chemistry as subjects of the examination provided that before joining the degree/ diploma course he/she passed the Higher Secondary examination or the Pre-University or equivalent examination in the first or second division.

Candidates who have passed the first/second year examination under the three-year degree course in the first or second division with Mathematics and either Physics or Chemistry as subjects of the Examination may also apply.

(or)

**(iv)** The candidates must have passed in the first or second division in the pre-engineering examination from the recognised university.

**(v) **The candidates must have passed in the first or second division the pre-professional or Pre-Technological Examination of the recognised university with Mathematics and at least, one of the subjects Physics and Chemistry as subjects.

(or)

**(vi)** The 5 years engineering degree course the candidates must have passed in the first year examination from the recognised university. Candidates who have passed the first year Examination of the five-year Engineering Degree Course in the first or second division may also apply provided the first year Examination is conducted by a University.

(or)

**(vii)** The candidate must have passed 1st or 2nd division in the pre-degree examination of the University of Kerala with Mathematics and at least, one of the subjects Physics and Chemistry as subjects of the examination.

**5. Physical Standards**: The candidates must be physically fit and according to physical standards for admission to Special Class Railway Apprentices Examination.

**UPSC SCRA Selection Procedure**

**UPSC SCRA Selection Procedure**: Union Public Service Commission conducts the Special Class Railway Apprentices’ Examination to select candidates for the Mechanical Department of Indian Railways. The selection process details given below.

**SCRA Examination conducts in 3 stages.**

1. Written Examination

2. Interview/Personality Test

3. Document Verification

**1)** **Written Examination**: In this exam consists 3 papers with Objective Type questions and question papers given in English Language only .Time duration for each paper 2 hours and maximum marks for General Ability test 200, Physical Science 200, Mathematics 200, Total Written Examination carries 600 marks.

**2) Interview/Personality Test**: Each candidate will be interviewed by a Board who will have before them a record of his career both academic and extramural. They will be asked questions on matters of general interest. Special attention will be paid to assessing their potential qualities of leadership, initiative and intellectual curiosity, tact and other social qualities, mental and physical energy, power of practical application and integrity of character.

**3) Document Verification**: Document Verification will be held after the candidate has qualified for Interview / Personality Test.

**UPSC SCRA Exam Pattern**

**UPSC SCRA Exam Pattern**: Union Public Service Commission conducts the Special Class Railway Apprentices’ Examination to select candidates for the Mechanical Department of Indian Railways. The SCRA exam pattern details given below.

**The Examination will be conducted according to the following plan.**

**Part I:** Written Examination consists 3 papers with Objective Type (multiple choice answer) questions and question papers given in English Language only .Time duration for each paper is 2 hours and maximum marks for General Ability test 200, Physical Science 200, Mathematics 200, Total Written Examination carries 600 marks.

Paper |
Subject |
Maximum Marks |

Paper-I |
General Ability Test (English, General Knowledge and Psychological Test) | 200 |

Paper-II |
Physical Sciences (Physics and Chemistry) | 200 |

Paper-III |
Mathematics | 200 |

Total marks | 600 |

**Part II:** Personality Test carrying a maximum of 200 marks in respect of only those candidates who are declared qualified on the results of written examination.

**UPSC SCRA Exam Syllabus**

**UPSC SCRA Exam Syllabus**: Union Public Service Commission conducts the Special Class Railway Apprentices’ Examination to select candidates for the Mechanical Department of Indian Railways. The SCRA Exam Syllabus details given below.

**Syllabus of Examination: **Special Class Railway Apprentices Examination comprises of three papers viz, Paper I, Paper II, Paper III.

**1. Paper I:** English, General Knowledge, Psychological Test.

**Syllabus of Examination:**

**Paper-I – General Ability Test**

**I) English**

The questions will be designed to test the candidates’ understanding and command Of the language.

**(ii) General Knowledge**

The questions will be designed to test a candidate’s general awareness of the environment around him/her and its application to society. The standard of answers to question should be as expected of students of standard 12 or equivalent. Man and is environment Evolution of life, plants and animals, heredity and environment-Genetics, cells, chromosomes, genesis Knowledge of the human body-nutrition, balanced diet, substitute foods, public health and sanitation including control of epidemics and common diseases. Environmental pollution and its control. Food adulteration, proper storage and preservation of food grains and finished products, population explosion, population control. Production of food and raw materials. Breeding of animals and plants, artificial insemination, manures and fertilizers, crop protection measures, high yielding varieties and green revolution, main cereal and cash crops of India. Solar system and the earth. Seasons, Climate, Weather, Soil—its ormation, erosion. Forests and their uses. Natural calamities cyclones, floods, earthquakes, volcanic eruptions. Mountains and rivers and their role in irrigation in India. Distribution of natural resources and industries in India. Exploration of under—ground minerals including Oil conservation of natural resources with particular reference to the flora and fauna of India. History, Politics and Society in India— Vedic, Mahavir, Buddha, auryan, Sunga, Andhra, Kushan. Gupta ages (Mauryan Pillars, Stupa Caves, Sanchi, Mathura and Gandharva Schools, Temple architecture, Ajanta and Ellora) the rise of new social forces with the coming of Islam and establishment of broader contacts Transition from feudalism to capitalism. Opening of European contacts. Establishment of British rule in India. Rise of nationalism and national struggle for freedom culminating in Independence. Constitution of India and its characteristic features—Democracy, secularism, Socialism, equality of opportunity and Parliamentary form of Government. Major political ideologies—democracy, socialism, communism and Gandhi an idea of non-violence. Indian political parties, pressure groups, public opinion and the press, electoral system. India’s foreign policy and non-alignment- Arms race, balance of power. World organization — political, social, economic and cultural. Important events including sports and cultural activities) in India and abroad during the past two years. Broad features of Indian social system — the caste system, hierarchy — recent changes and trends. Minority social institution — marriage, family, religion and acculturation Division of labour, co-operation, conflict and competition, Social control — reward and punishment, art, law, customs, propaganda, public opinion, agencies of social control — family, religion, State educational institutions; factors of social change — economic, technological, demographic, cultural; the concept of revolution. Social disorganisation in India — Casteism, communalism, corruption in public life, youth unrest, beggary, drugs, delinquency and crime, poverty and unemployment. Social planning and welfare in India, community development and labour welfare; welfare of Scheduled Castes and Backward Classes. Money — Taxation, price, demographic trends, national income, economic growth. Private and Public Sectors; economic and non-economic factors in planning, balanced versus imbalanced growth, agricultural versus industrial development; inflation and price stabilization, problem of resource mobilisation. India’s Five Year Plans.

** **

**(iii)** **Psychological Test**

The questions will be designed to assess the basic intelligence and mechanical aptitude of the candidate.

**2. Paper II**: Physics, Chemistry ( Physical Chemistry, Inorganic Chemistry, Organic Chemistry).

**Paper-II – Physical Sciences **

** ****i)**** ****Physics**

Length measurements using vernier, screw gauge, speedometer and optical lever measurement of time and mass. Straight line motion and relationships among placements, velocity and acceleration. Newton’s Laws of Motion, Momentum, impulse, work, energy and power. Coefficient of friction. Equilibrium of bodies under action of Forces. Moment of a force, couple. Newton’s Law of Gravitation. Escape velocity Acceleration due to gravity. Mass and Weight; Centre of gravity, Uniform circular motion, centripetal force, simple Harmonic motion. Simple pendulum. Pressure in a fluid and its variation with depth. Pascal’s Law. Principle of Archimedes. Floating bodies, atmospheric pressure and its measurement. Temperature and its measurement. Thermal expansion, Gas laws and absolute temperature. Specific heat, latent heats and their measurement. Specific heat of gases. Mechanical equivalent of heat. Internal energy and First law of thermodynamics, Isothermal and adiabatic changes. Transmission of heat; thermal conductivity. Wave motion; Longitudinal and transverse waves. Progressive and stationary waves, Velocity of sound in gas and its dependence on various factors. Resonance phenomena (air columns and strings). Reflection and refraction of light. Mage formation by curved mirrors and lenses, Microscopes and telescopes. Defects of vision. Prisms, deviation and dispersion, Minimum deviation. Visible spectrum. Field due to a bar magnet, Magnetic moment, Elements of Earth’s magnetic field. Magnetometers. Dia, para and ferromagnetism. Electric charge, electric field and potential, Coulomb’s Law. Electric current; electric cells, e.m.f. resistance, ammeters and voltmeters. Ohm’s law; resistances in series and parallel, specific resistance and conductivity. Heating effect of current. Wheatstone’s bridge, Potentiometer. Magnetic effect of current; straight wire, coil and solenoid electromagnet; electric bell. Force on a current-carrying conductor in magnetic field; moving coil galvanometers; conversion to ammeter orvoltmeter.Chemical effects of current; Primary and storage cells and their functioning, Laws of electrolysis. Electromagnetic induction; Simple A.C. and D.C. generators. Transformers, Induction Coil, Cathode rays, discovery of the electron, Bohr model of the atom. Diode and its use as a rectifier. Production, properties and uses of Grays. Radioactivity; Alpha, Beta and Gamma rays. Nuclear energy; fission and fusion, conversion of mass into energy, chain reaction.

**(ii) Chemistry**

**Physical Chemistry**

1. Atomic structure; earlier models in brief. Atom as at three dimensional models. Orbital concept. Quantum numbers and their significance, only elementary treatment. Paula’s Exclusion Principle. Electronic configuration. Aufbau Principle, s.p.d. and f. block elements. Periodic classification only long form. Periodicity and electronic configuration.

Atomic radii, Electro-negativity in period and groups.

2. Chemical Bonding, electro-valent, covalent, coordinates covalent bonds. Bond properties, sigma and Pie bonds, Shapes of simple molecules like water, hydrogen sulphide, methane and ammonium chloride. Molecular association and hydrogen bonding.

3. Energy changes in a chemical reaction Exothermic and Endothermic Reactions Application of First Law of Thermodynamics, Hess’s Law of constant heat summation.

4. Chemical Equilibriums and rates of reactions. Law of Mass action. Effect of Pressure, Temperature and concentration on the rates of reaction. (Qualitative treatment based on Le Chatelier’s Principle). Molecularity; First and Second order reaction. Concept of Energy of activation. Application to manufacture of Ammonia and Sulphur trioxide.

5. Solutions: True solutions, colloidal solutions and suspensions. Colligative properties of dilute solutions and determination of Molecular weights of issolvedsubstances.Elevation of boiling points. Depressions of freezing point, osmotic pressure. Raoult’s Law (no thermodynamic treatment only).

6. Electro-Chemistry: Solution of Electrolytes, Faraday’s Laws of Electrolysis, ionic equilibrium, Solubility product Strong and weak electrolytes. Acids and Bases (Lewis and Bronstead concept). PH and Buffer solutions.

7. Oxidation — Reduction; Modern, electronics concept and oxidation number.

8. Natural and Artificial Radioactivity: Nuclear Fission and Fusion. Uses of Radioactive

Isotopes. Inorganic Chemistry Brief Treatment of Elements and their industrially important compounds:

1. Hydrogen: Position in the periodic table. Isotopes of hydrogen. Electronegative and electropositive character. Water, hard and soft water, use of water in industries, Heavy water and its uses.

2. Group I Elements: Manufacture of sodium hydroxide, sodium carbonate, sodium bicarbonate and sodium chloride.

3. Group II Elements: Quick and slaked lime. Gypsum, Plaster of Paris. Magnesium sulphate and Magnesia.

4. Group III Elements: Borax, Alumina and Alum.

5. Group IV Elements: Coals, Coke and solid Fuels, Silicates, Zolitis semi-conductors.

Glass (Elementary treatment).

6. Group V Elements. Manufacture of ammonia and nitric acid. Rock Phosphates and safety matches.

7. Group VI Elements. Hydrogen peroxide, allotropy of sulphur, sculptures acid. Oxides of sulphur.

8. Group VII Elements. Manufacture and uses of Fluorine, Chlorine, Bromine and Iodine, Hydrochloric acid. Bleaching powder.

9. Group O. (Noble gases) Helium and its uses. 10. Metallurgical Processes: General Methods of extraction of metals with specific reference to copper, iron, aluminums,

Silver, gold, zinc and lead. Common alloys of these metals; Nickel and manganese steels.

**Organic Chemistry**

1. Tetrahedral nature of carbon, Hybridization and sigma pie bonds and their relative strength. Single and multiple bonds. Shapes of molecules. Geometrical and optical somerism.

2. General methods of preparation, properties and reaction of alkenes, alkenes and alkynes, Petroleum and its refining. Its uses as fuel. Aromatic hydrocarbons: Resonance and aromaticity. Benzene and Naphthalene and their analogues. Aromatic substitution reactions.

3. Halogen derivatives: Chloroform, Carbon Tetrachloride, Chlorobenzene, D.D.T. and Gammexane.

4. Hydroxyl Compounds: Preparation, properties and uses of Primary, Secondary and tertiary alcohols, Methanol, Ethanol, Glycerol and Phenol, Substitution reaction at aliphatic carbon atom.

5. Ethers; Diethyl ether.

6. Aldehydes and ketenes: Formaldehyde, Acetaldehyde, Benzaldehyde, acetone, cetophenone.

7. Nitro compounds amines: Nitrobenzene TNT, Aniline, Diazonium Compounds, Azodyes.

8. Carboxylic acid: Formic, acetic, benzoic and salicylic acids, acetyl salicylic acid.

9. Esters: Ethyl cerate, Methyl calculates ethyl benzoate.

10. Polymers: Polythene, Teflon, Perplex, Artificial Rubber, Nylon and Polyester fibers.

11. Nonstructural treatment of Carbohydrates, Fats and Lipids, amino acids and proteins – Vitamins and hormones.

**Mathematics**

**3. Paper-III:** Mathematics, Algebra, Trigonometry, Analytic Geometry, Differential Calculus, Integral Calculus and Differential equations, Differential equations, Vectors and its applications, Statistics** **and Probability.

**Paper-III – Mathematics **

1**. Algebra:**

Concept of a set, Union and Intersection of sets, Complement of a set, Null set, Universal set and Power set, Venn diagrams and simple applications. Cartesian product of two sets, relation and mapping — examples, Binary operation on a set — examples. Representation of real numbers on a line Complex numbers: Modulus, Argument, Algebraic operations on complex numbers Cube roots of unity. Binary system of numbers, Conversion of a decimal number to a binary number and vice versa. Arithmetic, Geometric and Harmonic Progressions. Summation of series involving A.P., G.P., and H.P… Quadratic equations with real co-efficients Quadratic expressions: extreme values. Permutation and combination, Binomial theorem and its applications. Matrices and Determinants: Types of matrices, equality, matrix addition and scalar multiplication – properties. Matrix multiplication — non-commutative and distributive property over addition. Transpose of a matrix, Determinant of a matrix. Minors and Co-factors. Properties of determinants. Singular and non-singular matrices. Adjoin and Inverse of a square-matrix, Solution of a system of linear equations in two and three variables- elimination method, Cramers rule and Matrix inversion method (Matrices with m rows and n columns where m, n < to 3 are to be considered). Idea of a Group, Order of a Group, Abelian group. Identitiy and inverse elements- Illustration by simple examples.

2. **Trigonometry:**

Addition and subtraction formulae, multiple and sub-multiple angles. Product and factoring formulae. Inverse trigonometric functions — Domains, Ranges and Graphs. DeMoivre’s theorem, expansion of Sin n0 and Cos n0 in a series of multiples of Sines and Cosines. Solution of simple trigonometric equations. Applications: Heights and Distance.

3. **Analytic Geometry (two dimensions**): Rectangular Cartesian. Coordinate system, distance between two points, equation of a straight line in various forms, angle between two lines, and distance of a point from a line. Transformation of axes. Pair of straight lines, general equation of second degree in x and y — condition to represent a pair of straight lines, point of intersection, angle between two lines. Equation of a circle in standard and in general form, equations of tangent and normal at a point, orthogonally of two circles. Standard equations of parabola, ellipse and hyperbola — parametric equations, equations of tangent and normal at a point in both Cartesian and parametric forms.

4. **Differential Calculus**: Concept of a real valued function — domain, range and graph. Composite functions one to one, onto and inverse functions, algebra of real functions examples of polynomial, rational, trigonometric, exponential and logarithmic functions. Notion of limit, Standard limits – examples. Continuity of functions – examples, algebraic operations on continuous functions. Derivative of a function at a point, geometrical and physical interpretation of a derivative – applications. Derivative of sum, product and quotient of functions, derivative of a function with respect to another function, derivative of a composite function, chain rule. Second order derivatives. Role’s theorem (statement only), increasing and decreasing functions. Application of derivatives in problems of maxima, minima, greatest and least values of a function.

5. **Integral Calculus and Differential equations**: Integral Calculus: Integration as inverse of differential, integration by substitution and by parts, standard integrals involving algebraic expression, trigonometric, exponential and hyperbolic functions. Evaluation of definite integralsdetermination of areas of plane regions bounded by curves – applications. Differential equations : Definition of order and degree of a differential equation, formation of a differential equation by examples. General and particular solution of a differential equation, solution of first order and first degree differential equation of various types – examples. Solution of second order homogeneous differential equation with constant co-efficient.

6. **Vectors and its applications**: Magnitude and direction of a vector, equal vectors, unit vector, zero vector, vectors in two and three dimensions, position vector. Multiplication of a vector by a scalar, sum and difference of two vectors, Parallelogram law and triangle law of addition. Multiplication of vectors — scalar product or dot product of two vectors, perpendicularity, commutative and distributive properties. Vector product or cross product of two vectors. Scalar and vector triple products. Equations of a line, plane and sphere in vector form – simple problems. Area of a triangle, parallelogram and problems of plane geometry and trigonometry using vector methods. Work done by a force and moment of a force.

7. **Statistics and probability**: Statistics: Frequency distribution, cumulative frequency distribution – examples. Graphical representation – Histogram, frequency polygon – examples. Measure of central tendency – mean, median and mode. Variance and standard deviation – determination and comparison. Correlation and regression. Probability: Random experiment, outcomes and associated sample space, events, mutually exclusive and exhaustive events, impossible and certain events. Union and Intersection of events. Complementary, elementary and composite events. Definition of probability: classical and statistical – examples. Elementary theorems on probability – simple problems conditionals probability, Bayes’ theorem – simple problems. Random variable as function on a sample space. Binomial distribution, examples of random experiments giving rise to Binomial distribution. Personality Test Each candidate will be interviewed by a Board who will have before them a record of his career both academic and extramural. They will be asked questions on matters of general interest. Special attention will be paid to assessing their potential qualities of leadership, initiative and intellectual curiosity, tact and other social qualities, mental and physical energy, power of practical application and integrity of character.

** **