GATE 2012 Last Date:17-October-2011 SCHEME SYLLABUS of EXAM

Graduate Aptitude Test in Engineering - GATE 2012

Last Date : 17 October 2011 (Apply Online)
Start Date : 12 September 2011

Organizing Institute : Indian Institute of Technology Delhi

Graduate Aptitude Test in Engineering (GATE) is an all India examination administered and conducted jointly by the Indian Institute of Science and seven Indian Institutes of Technology on behalf of the National Coordination Board - GATE, Department of Higher Education, Ministry of Human Resource Development (MHRD), Government of India.

Candidates have to Apply only ONLINE. The application fee is Rs 1000/- for GENERAL/OBC/ category and Rs 500/- for SC/ST/PD category candidates.

Date of Online Examination: 29-01-2012 (Sunday)       

Date of Offline Examination: 12-02-2012 (Sunday)

SYLLABUS/SCHEME OF EXAMINATION FOR GATE - 2012

A candidate can apply for only ONE of the 21 papers listed in the table given below. In the tables given below, the columns titled 'Paper Title' and 'Title of the Section' provide links to the appropriate syllabus.

The choice of the appropriate paper is the responsibility of the candidate. Some guidelines in this respect are suggested below.

The candidate is expected to appear in a paper appropriate to the discipline of his/her qualifying degree. The candidate is, however, free to choose any paper according to his/her admission plan, keeping in mind the eligibility criteria of the institutions in which he/she wishes to seek admission.

Requests for change of GATE Examination paper after the submission of Application Form will not be considered.

Code Paper Title
AE Aerospace Engineering 
AG Agricultural Engineering 
AR Architecture and Planning 
BT Biotechnology 
CE Civil Engineering 
CH Chemical Engineering 
CS Computer Science and Information Technology 
CY Chemistry 
EC Electronics and Communication Engineering 
EE Electrical Engineering 
GG Geology and Geophysics
IN Instrumentation Engineering 
MA Mathematics 
ME Mechanical Engineering 
MN Mining Engineering 
MT Metallurgical Engineering 
PH Physics 
PI Production and Industrial Engineering 
TF Textile Engineering and Fibre Science 
XE Engineering Sciences 
XL Life Sciences

XE (Engineering Sciences) and XL (Life Sciences) papers are of general nature and will comprise of the sections listed below. A candidate appearing in XE or XL paper will be required to answer three sections apart from the General Aptitude (GA) questions. Section A is compulsory in XE paper and Section H is compulsory in XL paper. The candidate can choose any two out of the remaining sections listed against the respective papers, at the time of examination
===============================
XE: Engineering Sciences 
---------------------------
Paper Section Title of the Section 
XE A Engineering Mathematics (Compulsory) 
XE B Fluid Mechanics 
XE C Materials Science 
XE D Solid Mechanics 
XE E Thermodynamics 
XE F Polymer Science and Engineering 
XE G Food Technology
----------------------------------
---------------------------------
XL: Life Sciences 
-----------------------------------
Paper Section Title of the Section
XL H Chemistry (Compulsory) 
XL I Biochemistry 
XL J Botany 
XL K Microbiology 
XL L Zoology 
XL M Food Technology
-------------------------------
=======================================

The GATE examination consists of a single paper of 3 hours duration which contains 65 questions carrying a maximum of 100 marks. The question paper will consist of only objective questions. In all papers other than AE, AG, AR, GG, MN and TF, all the questions are of multiple choice type. In AE, AG, AR, GG, MN and TF papers, the question paper will consist of questions of multiple choice type and also some questions of numerical answer type. For multiple choice type questions, each question will have four choices for the answer. For numerical answer type questions, each question will have a number as the answer. See below to view the pattern of question papers. The examination for the papers with codes AE, AG, AR, GG, MN and TF will be carried out ONLINE using computers where the candidates will be required to enter the answer for each question using mouse. For all other papers, the candidates will have to mark the correct choice on an Optical Response Sheet (ORS) by darkening the appropriate bubble against each question. There will be negative marking for each wrong answer, except for the numerical answer type questions.

Each GATE paper shall have a General Aptitude (GA) component carrying 15 marks

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Pattern of Question Papers and Marking 

The examination for the papers with codes AE, AG, AR, GG, MN and TF will be carried out ONLINE using computers where the candidates will be required to enter the answer for each question using mouse. For all other papers, the candidates will have to mark the correct choice on an Optical Response Sheet (ORS) by darkening the appropriate bubble against each question.
In the ONLINE papers, the question paper will consist of questions of multiple choice type and numerical answer type. For multiple choice type questions, each question will have four choices for the answer. For numerical answer type questions, each question will have a number as the answer and choices will not be given.
GATE 2012 would contain questions of four different types in various papers:
Multiple choice questions carrying 1 or 2 marks each.
Common data questions, where two successive questions use the same set of input data.
Linked answer questions, where the answer to the first question of the pair is required in order to answer its successor.
Numerical answer questions, where the answer is a number, to be entered by the candidate.
Examples of such questions can be found in Question Types.
In all the papers, there will be a total of 65 questions carrying 100 marks, out of which 10 questions carrying 15 marks in General Aptitude (GA) are compulsory.
In the papers bearing the codes AE, AG, BT, CE, CH, CS, EC, EE, GG, IN, ME, MN, MT, PI, TF and XE, the Engineering Mathematics will carry 15 % of the total marks, the General Aptitude section will carry 15 % of the total marks and the remaining 70 % of the total marks is devoted to the subject of the paper.
In the papers bearing the codes AR, CY, GG, MA, PH and XL, the General Aptitude section will carry 15 % of the total marks and the remaining 85 % of the total marks is devoted to the subject of the paper.

Marking
For 1 mark multiple choice questions, 1/3 mark will be deducted for a wrong answer. Likewise, for 2 marks multiple choice questions, 2/3 mark will be deducted for a wrong answer. However, for the linked answer question pair, where each question carries 2 marks, 2/3 mark will be deducted for a wrong answer to the first question only. There is no negative marking for wrong answer to the second question of the linked answer question pair. If the first question in the linked pair is wrongly answered or is unattempted, then the answer to the second question in the pair will not be evaluated. There is no negative marking for numerical answer type questions.

Pattern of Question Papers
General Aptitude (GA) Section:
In all papers, GA questions are of multiple choice type, and carry a total of 15 marks. The GA section includes 5 questions carrying 1 mark each (sub-total 5 marks) and 5 questions carrying 2-marks each (sub-total 10 marks)
Question papers other than GG, XE and XL:
These papers would contain 25 multiple choice questions carrying one mark each (sub-total 25 marks) and 30 multiple choice questions carrying two marks each (sub-total 60 marks). Out of these, two pairs of questions would be common data questions, and two pairs of questions would be linked-answer questions. In the ONLINE papers, the question paper will consist of questions of multiple choice type and numerical answer type. For multiple choice type questions, each question will have four choices for the answer. For numerical answer type questions, each question will have a number as the answer and choices will not be given.
GG (Geology and Geophysics) Paper:
Apart from the General Aptitude (GA) section, the question paper consists of two parts: Part A and Part B. Part A is common for all candidates. Part B contains two sections: Section 1 (Geology) and Section 2 (Geo-physics). Candidates will have to attempt questions in Part A and either Section 1 or Section 2 in Part B.
Part A consists of 25 multiple choice questions carrying 1-mark each (sub-total 25 marks). Each section in Part B (Section 1 and Section 2) consists of 30 multiple choice questions carrying 2-marks each (sub-total 60 marks). Out of these, two pairs of questions would be common data questions, and two pairs of questions would be linked-answer questions.
XE Paper (Engineering Sciences):
In XE paper, Engineering Mathematics section (Section A) is compulsory. This section contains 11 multiple choice questions carrying a total of 15 marks: 7 questions carrying 1-mark each (sub-total 7 marks), and 4 questions carrying 2-marks each (sub-total 8 marks).
Each of the other sections of the XE paper (Sections B through G) contains 22 questions carrying a total of 35 marks: 9 questions carrying 1-mark each (sub-total 9 marks) and 13 questions carrying 2-marks each (sub-total 26 marks). Out of the 2-mark questions, 2 pairs are common data questions and 1 pair is linked answer questions.
XL Paper (Life Sciences):
In XL paper, Chemistry section (Section H) is compulsory. This section contains 15 multiple choice questions carrying a total of 25 marks: 5 questions carrying 1 mark each (sub-total 5 marks) and 10 questions carrying 2-marks each (sub-total 20 marks). Out of the 2-mark questions, 1 pair is common data questions, and 1 pair is linked answer questions.
Each of the other sections of the XL paper (Sections I through M) contains 20 multiple choice questions carrying a total of 30 marks: 10 questions carrying 1-mark each (sub-total 10 marks) and 10 questions carrying 2-marks each (sub-total 20 marks).
------------------------------------------------------------------------------------

GATE 2012 Question Types


Multiple Choice Questions
Multiple choice questions in all papers and sections will contain four answers, of which only one is correct. The types of questions in a paper may be based on following logic:
(i) Recall:
These are based on facts, principles, formulae or laws of the discipline. The candidate is expected to be able to obtain the answer either from his/her memory of the subject or at most from a one-line computation.
Example
Q. During machining maximum heat is produced
(A) in flank face       (B) in rake face
(C) in shear zone     (D) due to friction between chip and tool.

(ii) Comprehension:
 These questions will test the candidate's understanding of the basics of his/her field, by requiring him/her to draw simple conclusions from fundamental ideas.
Example
Q. A DC motor requires a starter in order
(A) to develop a starting torque
(B) to compensate for auxiliary field ampere turns
(C) to limit armature current at starting
(D) to provide regenerative braking

(iii) Application:
In these questions, the candidate is expected to apply his/her knowledge either through computation or by logical reasoning.

Example:

Q. The sequent depth ratio of a hydraulic jump in a rectangular channel is 16.48. The Froude number at the beginning of the jump is:
(A)  10.0  (B) 5.0
(C)  12.0  (D) 8.0
(iv) Analysis and Synthesis:
These can be linked questions, where the answer to the first question of the pair is required in order to answer its successor. Or these can be common data questions, in which two questions share the same data but can be solved independently of one another.

Common data questions

Example
Common Data, for instance, Questions 48 and 49 in main paper:
Let X and Y be jointly distributed random variables such that the conditional distribution of Y, given X=x, is uniform on the interval (x-1,x+1). Suppose E(X)=1 and Var(X)= ⁵/₃
First question using common data:
Q.48 The mean of the random variable Y is
(A) 1/2  (B) 1   (C) 3/2       (D) 2
Second question using common data:

First question of the pair:
Q.52 The value of K which will cause sustained oscillations in the closed loop system is

Second question of the pair:
Q.53 The frequency of sustained oscillations is

The questions based on the above four logics may be a mix of single stand alone statement / phrase / data type questions, combination of option codes type questions or match items types questions.
========================================================

The examination for the papers with codes AE, AG, AR, GG, MN and TF will be carried out ONLINE using computers where the candidates will be required to enter the answer for each question using mouse. For all other papers, the candidates will have to mark the correct choice on an Optical Response Sheet (ORS) by darkening the appropriate bubble against each question.

In the ONLINE papers, the question paper will consist of questions of multiple choice type and numerical answer type. For multiple choice type questions, each question will have four choices for the answer. For numerical answer type questions, each question will have a number as the answer and choices will not be given.

GATE 2012 would contain questions of four different types in various papers:

• Multiple choice questions carrying 1 or 2 marks each.
• Common data questions, where two successive questions use the same set of input data.
• Linked answer questions, where the answer to the first question of the pair is required in order to answer its successor.
• Numerical answer questions, where the answer is a number, to be entered by the candidate.

Examples of such questions can be found in Question Types.

In all the papers, there will be a total of 65 questions carrying 100 marks, out of which 10 questions carrying 15 marks in General Aptitude (GA) are compulsory.

In the papers bearing the codes AE, AG, BT, CE, CH, CS, EC, EE, GG, IN, ME, MN, MT, PI, TF and XE, the Engineering Mathematics will carry 15 % of the total marks, the General Aptitude section will carry 15 % of the total marks and the remaining 70 % of the total marks is devoted to the subject of the paper.

In the papers bearing the codes AR, CY, GG, MA, PH and XL, the General Aptitude section will carry 15 % of the total marks and the remaining 85 % of the total marks is devoted to the subject of the paper

--------------------------------
Marking

For 1 mark multiple choice questions, 1/3 mark will be deducted for a wrong answer. Likewise, for 2 marks multiple choice questions, 2/3 mark will be deducted for a wrong answer. However, for the linked answer question pair, where each question carries 2 marks, 2/3 mark will be deducted for a wrong answer to the first question only. There is no negative marking for wrong answer to the second question of the linked answer question pair. If the first question in the linked pair is wrongly answered or is unattempted, then the answer to the second question in the pair will not be evaluated. There is no negative marking for numerical answer type questions.

----------------------------------

Pattern of Question Papers

General Aptitude (GA) Section:

In all papers, GA questions are of multiple choice type, and carry a total of 15 marks. The GA section includes 5 questions carrying 1 mark each (sub-total 5 marks) and 5 questions carrying 2-marks each (sub-total 10 marks)

Question papers other than GG, XE and XL:

These papers would contain 25 multiple choice questions carrying one mark each (sub-total 25 marks) and 30 multiple choice questions carrying two marks each (sub-total 60 marks). Out of these, two pairs of questions would be common data questions, and two pairs of questions would be linked-answer questions. In the ONLINE papers, the question paper will consist of questions of multiple choice type and numerical answer type. For multiple choice type questions, each question will have four choices for the answer. For numerical answer type questions, each question will have a number as the answer and choices will not be given.

GG (Geology and Geophysics) Paper:

Apart from the General Aptitude (GA) section, the question paper consists of two parts: Part A and Part B. Part A is common for all candidates. Part B contains two sections: Section 1 (Geology) and Section 2 (Geo-physics). Candidates will have to attempt questions in Part A and either Section 1 or Section 2 in Part B.

Part A consists of 25 multiple choice questions carrying 1-mark each (sub-total 25 marks). Each section in Part B (Section 1 and Section 2) consists of 30 multiple choice questions carrying 2-marks each (sub-total 60 marks). Out of these, two pairs of questions would be common data questions, and two pairs of questions would be linked-answer questions.

XE Paper (Engineering Sciences):

In XE paper, Engineering Mathematics section (Section A) is compulsory. This section contains 11 multiple choice questions carrying a total of 15 marks: 7 questions carrying 1-mark each (sub-total 7 marks), and 4 questions carrying 2-marks each (sub-total 8 marks).

Each of the other sections of the XE paper (Sections B through G) contains 22 questions carrying a total of 35 marks: 9 questions carrying 1-mark each (sub-total 9 marks) and 13 questions carrying 2-marks each (sub-total 26 marks). Out of the 2-mark questions, 2 pairs are common data questions and 1 pair is linked answer questions.

XL Paper (Life Sciences):

In XL paper, Chemistry section (Section H) is compulsory. This section contains 15 multiple choice questions carrying a total of 25 marks: 5 questions carrying 1 mark each (sub-total 5 marks) and 10 questions carrying 2-marks each (sub-total 20 marks). Out of the 2-mark questions, 1 pair is common data questions, and 1 pair is linked answer questions.

Each of the other sections of the XL paper (Sections I through M) contains 20 multiple choice questions carrying a total of 30 marks: 10 questions carrying 1-mark each (sub-total 10 marks) and 10 questions carrying 2-marks each (sub-total 20 marks).

=================================================================

Pattern of Question Papers and Marking 

The examination for the papers with codes AE, AG, AR, GG, MN and TF will be carried out ONLINE using computers where the candidates will be required to enter the answer for each question using mouse. For all other papers, the candidates will have to mark the correct choice on an Optical Response Sheet (ORS) by darkening the appropriate bubble against each question.

In the ONLINE papers, the question paper will consist of questions of multiple choice type and numerical answer type. For multiple choice type questions, each question will have four choices for the answer. For numerical answer type questions, each question will have a number as the answer and choices will not be given.

GATE 2012 would contain questions of four different types in various papers:

• Multiple choice questions carrying 1 or 2 marks each.
• Common data questions, where two successive questions use the same set of input data.
• Linked answer questions, where the answer to the first question of the pair is required in order to answer its successor.
• Numerical answer questions, where the answer is a number, to be entered by the candidate.

Examples of such questions can be found in Question Types.

In all the papers, there will be a total of 65 questions carrying 100 marks, out of which 10 questions carrying 15 marks in General Aptitude (GA) are compulsory.

In the papers bearing the codes AE, AG, BT, CE, CH, CS, EC, EE, GG, IN, ME, MN, MT, PI, TF and XE, the Engineering Mathematics will carry 15 % of the total marks, the General Aptitude section will carry 15 % of the total marks and the remaining 70 % of the total marks is devoted to the subject of the paper.

In the papers bearing the codes AR, CY, GG, MA, PH and XL, the General Aptitude section will carry 15 % of the total marks and the remaining 85 % of the total marks is devoted to the subject of the paper

------------

Marking

For 1 mark multiple choice questions, 1/3 mark will be deducted for a wrong answer. Likewise, for 2 marks multiple choice questions, 2/3 mark will be deducted for a wrong answer. However, for the linked answer question pair, where each question carries 2 marks, 2/3 mark will be deducted for a wrong answer to the first question only. There is no negative marking for wrong answer to the second question of the linked answer question pair. If the first question in the linked pair is wrongly answered or is unattempted, then the answer to the second question in the pair will not be evaluated. There is no negative marking for numerical answer type questions.

-----------------

Pattern of Question Papers

General Aptitude (GA) Section:

In all papers, GA questions are of multiple choice type, and carry a total of 15 marks. The GA section includes 5 questions carrying 1 mark each (sub-total 5 marks) and 5 questions carrying 2-marks each (sub-total 10 marks)

Question papers other than GG, XE and XL:

These papers would contain 25 multiple choice questions carrying one mark each (sub-total 25 marks) and 30 multiple choice questions carrying two marks each (sub-total 60 marks). Out of these, two pairs of questions would be common data questions, and two pairs of questions would be linked-answer questions. In the ONLINE papers, the question paper will consist of questions of multiple choice type and numerical answer type. For multiple choice type questions, each question will have four choices for the answer. For numerical answer type questions, each question will have a number as the answer and choices will not be given.

GG (Geology and Geophysics) Paper:

Apart from the General Aptitude (GA) section, the question paper consists of two parts: Part A and Part B. Part A is common for all candidates. Part B contains two sections: Section 1 (Geology) and Section 2 (Geo-physics). Candidates will have to attempt questions in Part A and either Section 1 or Section 2 in Part B.

Part A consists of 25 multiple choice questions carrying 1-mark each (sub-total 25 marks). Each section in Part B (Section 1 and Section 2) consists of 30 multiple choice questions carrying 2-marks each (sub-total 60 marks). Out of these, two pairs of questions would be common data questions, and two pairs of questions would be linked-answer questions.

XE Paper (Engineering Sciences):

In XE paper, Engineering Mathematics section (Section A) is compulsory. This section contains 11 multiple choice questions carrying a total of 15 marks: 7 questions carrying 1-mark each (sub-total 7 marks), and 4 questions carrying 2-marks each (sub-total 8 marks).

Each of the other sections of the XE paper (Sections B through G) contains 22 questions carrying a total of 35 marks: 9 questions carrying 1-mark each (sub-total 9 marks) and 13 questions carrying 2-marks each (sub-total 26 marks). Out of the 2-mark questions, 2 pairs are common data questions and 1 pair is linked answer questions.

XL Paper (Life Sciences):

In XL paper, Chemistry section (Section H) is compulsory. This section contains 15 multiple choice questions carrying a total of 25 marks: 5 questions carrying 1 mark each (sub-total 5 marks) and 10 questions carrying 2-marks each (sub-total 20 marks). Out of the 2-mark questions, 1 pair is common data questions, and 1 pair is linked answer questions.

Each of the other sections of the XL paper (Sections I through M) contains 20 multiple choice questions carrying a total of 30 marks: 10 questions carrying 1-mark each (sub-total 10 marks) and 10 questions carrying 2-marks each (sub-total 20 marks).

========================================

GATE 2012 Question Types 

Multiple Choice Questions
Multiple choice questions in all papers and sections will contain four answers, of which only one is correct. The types of questions in a paper may be based on following logic:
(i) Recall:
These are based on facts, principles, formulae or laws of the discipline. The candidate is expected to be able to obtain the answer either from his/her memory of the subject or at most from a one-line computation.
Example
Q. During machining maximum heat is produced
(A) in flank face       (B) in rake face
(C) in shear zone     (D) due to friction between chip and tool.

(ii) Comprehension:
 These questions will test the candidate's understanding of the basics of his/her field, by requiring him/her to draw simple conclusions from fundamental ideas.
Example
Q. A DC motor requires a starter in order
(A) to develop a starting torque
(B) to compensate for auxiliary field ampere turns
(C) to limit armature current at starting
(D) to provide regenerative braking

(iii) Application:
In these questions, the candidate is expected to apply his/her knowledge either through computation or by logical reasoning.

Example:

Q. The sequent depth ratio of a hydraulic jump in a rectangular channel is 16.48. The Froude number at the beginning of the jump is:
(A)  10.0  (B) 5.0
(C)  12.0  (D) 8.0
(iv) Analysis and Synthesis:
These can be linked questions, where the answer to the first question of the pair is required in order to answer its successor. Or these can be common data questions, in which two questions share the same data but can be solved independently of one another.
-------------------------------

Common data questions

Multiple questions may be linked to a common data problem, passage and the like. Two or three questions can be formed from the given common data problem. Each question is independent and its solution obtainable from the above problem data/passage directly. (Answer of the previous question is not required to solve the next question). Each question under this group will carry two marks.
Example
Common Data, for instance, Questions 48 and 49 in main paper:
Let X and Y be jointly distributed random variables such that the conditional distribution of Y, given X=x, is uniform on the interval (x-1,x+1). Suppose E(X)=1 and Var(X)= ⁵/₃
First question using common data:
Q.48 The mean of the random variable Y is
(A) 1/2  (B) 1   (C) 3/2       (D) 2
Second question using common data:------------------------------------------------------------------

Syllabus for Aerospace Engineering (AE)

Engineering Mathematics

Linear Algebra:

Matrix algebra, systems of linear equations, eigen values and eigen vectors.

Calculus:

Functions of single variable, limit, continuity and differentiability, mean value theorems, evaluation of definite and improper integrals, partial derivatives, total derivative, maxima and minima, gradient, divergence and curl, vector identities, directional derivatives, line, surface and volume integrals. Theorems of Stokes, Gauss and Green.

Differential Calculus:

First order linear and nonlinear equations, higher order linear ODEs with constant coefficients, Cauchy and Euler equations, initial and boundary value problems, Laplace transforms. Partial differential equations and separation of variables methods.

Numerical methods:

Numerical solution of linear and nonlinear algebraic equations, integration by trapezoidal and Simpson rule, single and multi-step methods for differential equations.

Flight Mechanics

Atmosphere:

Properties, standard atmosphere. Classification of aircraft. Airplane (fixed wing aircraft) configuration and various parts.

Airplane performance:

Pressure altitude; equivalent, calibrated, indicated air speeds; Primary flight instruments: Altimeter, ASI, VSI, Turn-bank indicator. Drag polar; take off and landing; steady climb & descent,-absolute and service ceiling; cruise, cruise climb, endurance or loiter; load factor, turning flight, V-n diagram; Winds: head, tail & cross winds.

Static stability:

Angle of attack, sideslip; roll, pitch & yaw controls; longitudinal stick fixed & free stability, horizontal tail position and size; directional stability, vertical tail position and size; dihedral stability. Wing dihedral, sweep & position; hinge moments, stick forces.

Dynamic stability:

Euler angles; Equations of motion; aerodynamic forces and moments, stability & control derivatives; decoupling of longitudinal and lat-directional dynamics; longitudinal modes; lateral-directional modes.

Space Dynamics

Central force motion, determination of trajectory and orbital period in simple cases. Orbit transfer, in-plane and out-of-plane. Elements of rocket motor performance.

Aerodynamics

Basic Fluid Mechanics:

Incompressible irrotational flow, Helmholtz and Kelvin theorem, singularities and superposition, viscous flows, boundary layer on a flat plate.

Airfoils and wings:

Classification of airfoils, aerodynamic characteristics, high lift devices, Kutta Joukowski theorem; lift generation; thin airfoil theory; wing theory; induced drag; qualitative treatment of low aspect ratio wings.

Viscous Flows:

Flow separation, introduction to turbulence, transition, structure of a turbulent boundary layer.

Compressible Flows:

Dynamics and Thermodynamics of I-D flow, isentropic flow, normal shock, oblique shock, Prandtl-Meyer flow, flow in nozzles and diffusers, inviscid flow in a c-d nozzle, flow in diffusers. subsonic and supersonic airfoils, compressibility effects on lift and drag, critical and drag divergence Mach number, wave drag.

Wind Tunnel Testing:

Measurement and visualisation techniques.

Structures

Stress and Strain:

Equations of equilibrium, constitutive law, strain-displacement relationship, compatibility equations, plane stress and strain, Airy's stress function.

Flight Vehicle Structures:

Characteristics of aircraft structures and materials, torsion, bending and flexural shear. Flexural shear flow in thin-walled sections. Buckling. Failure theories. Loads on aircraft.

Structural Dynamics:

Free and forced vibration of discrete systems. Damping and resonance. Dynamics of continuous systems.

Propulsion

Thermodynamics of Aircraft Gas Turbine engines, thrust and thrust augmentation.

Turbomachinery:

Axial compressors and turbines, centrifugal pumps and compressors.

Aerothermodynamics of non rotating propulsion components:

Intakes, combustor and nozzle. Thermodynamics of ramjets and scramjets. Elements of rocket propulsion

Q.49 The variance of the random variable Y is
(A) 1/2       (B) ²/₃       (C) 1       (D) 2
Q.49 The variance of the random variable Y is
(A) 1/2       (B) ²/₃       (C) 1       (D) 2

Linked answer questions:

These questions are of problem solving type. A problem statement is followed by two questions based on the problem statement. The two questions are designed such that the solution to the second question depends upon the answer to the first one. In other words, the first answer is an intermediate step in working out the second answer. Each question in such linked answer questions will carry two marks.
Example:
Statement for Linked Answer Questions, for instance, for Questions 52 and 53 in Main Paper:
The open loop transfer function of a unity feedback control system is given by

Reserve Bank of India (RBI) Grade B Officer Syallabus of Examination

Reserve Bank of India (RBI) Mumbai

Advt. No. 2/2011-12

Last Date to Apply Online : 26 September 2011

Last Date to Submit OFF-LINE Application OR To Submit print out of OL-Line Application :

3 October 2011

 

Scheme of Examination / Selection

(I) Phase I (Objective Type Test): This Paper of 3 hours duration for 200 marks will be held on Sunday, the December 18.2011. The Paper consists tests of i) General Awareness ii) English Language iii) Quantitative Aptitude and iv) Reasoning. Candidates have to secure minimum marks separately for each test as prescribed by the Board. Candidates who secure minimum marks separately for each Test as prescribed will be shortlisted for Phase II of the 'WE' based on the aggregate marks obtained in the Objective Test. The minimum aggregate cut off marks for being shortlisted for Phase II of the WE will be decided by the Board in relation to the number of vacancies. Roll No. of the candidates successful in Phase I of the WE are likely to be published in Employment News / Rozgar Samachar, on the RBI website and a brief notice thereof in leading newspapers in January /February 2012.

(II)  Phase II (Descriptive Type Test): The Phase II Examination will be conducted in March/April 2012 (tentative) only for those candidates who are successful in Phase I (Objective Type Test). The date and time-table will be intimated to the candidates concerned at the appropriate time. The Examination will consist of three Descriptive Type papers-

(i) Paper I - English (ii) Paper II - Economic and Social Issues and (iii) Paper III - Finance and Management. Each of these papers is of 3 hours duration carrying 100 marks.
NOTE: Phase I (except the test of English) and Papers II and III of Phase II will be set bilingually in Hindi and English. Phase I is Objective Type and only marking the correct choice is required. However, Papers II and III of Phase II can be answered either wholly in Hindi or English at the candidate's option.

(III) Syllabus (Phase II):
(i)   Paper I- English:
Essay, Precis writing, Comprehension, Business/Office Correspondence.
(ii) Paper II - Economic and Social Issues:
Growth and Development - Measurement of growth: National Income and per capita income - Poverty Alleviation and Employment Generation in India - Sustainable Development and Environmental issues. Economic Reforms in India - Industrial and Labour Policy - Monetary and Fiscal Policy - Privatisation - Role of Economic Planning. Globalization - Opening up of the Indian Economy- Balance of Payments, Export-Import Policy - International Economic Institutions - IMF and World Bank -WTO - Regional Economic Co-operation. Social Structure in India - Multiculturalism -Demographic Trends - Urbanisation and Migration - Gender Issues - Social Justice: Positive Discrimination in favour of the under privileged - Social Movements - Indian Political System - Human Development - Social Sectors in India, Health and Education.

(iii) Paper III - Finance and Management:
Finance: The Union Budget - Direct and Indirect taxes; Non-tax sources of revenue; Outlays; New Measures; Financial Sector Reforms; Capital Market, Money Market and Foreign Exchange Market; Stock Exchanges and their Regulation; Capital Market Intermediaries and their Regulation; Role of SEBI; Functions of the Money Market; Growth and Operation of the Money Market; The Foreign Exchange Market; From FERA to FEMA; Exchange Rate Management; Exchange Risk Management; Role of Banks and Financial Institutions in Economic Development; Regulation of Banks and Financial Institutions; Disinvestment in Public Sector Units.

Management: Management: its nature and scope; The Management Processes; Planning, Organisation, Staffing, Directing and Controlling; The Role of a Manager in an Organisation. Leadership: The Tasks of a Leader; Leadership Styles; Leadership Theories; A successful Leader versus an effective Leader. Human Resource Development: Concept of HRD; Goals of HRD; Performance Appraisal - Potential appraisal and development - Feedback and Performance Counseling - Career Planning - Training and Development - Rewards -Employee Welfare. Motivation, Morale and Incentives: Theories of Motivation; How Managers Motivate; Concept of Morale; Factors determining morale; Role of Incentives in Building up Morale. Communication: Steps in the Communication Process; Communication Channels; Oral versus Written Communication; Verbal versus non-verbal Communication; upward, downward and lateral communication; Barriers to Communication, Role of Information Technology. Corporate Governance: Factors affecting Corporate Governance; Mechanisms of Corporate Governance.

NOTE: The above syllabus is only indicative and not exhaustive. Keeping in view that candidates from different faculty backgrounds apply for the post, the questions in Papers II and III will be basic in nature. Candidates will be short-listed for interview based on the aggregate marks obtained only in Phase II - Papers I. II and III. The minimum cut off marks for being short-listed for interview will be decided by the Board in relation to the number of vacancies. Candidates may answer the Interview either in Hindi or English at their option. Final selection will be based on the performance of the candidate in Phase II of the 'WE' and Interview.

Syllabus of SSC-2011 Exam- Combined Higher Seconday

STAFF SELECTION COMMISSION (SSC) India

Combined Higher Secondary Level (10+2) Examination, 2011 for recruitment of Data Entry Operator and Lower Division Clerks

Closing/Last Date:16.09.2011

SYLLABUS OF EXAMINATION

 1.Semantic Analogy
2.Symbolic/Number Analogy
3.Figural Analogy
4.Semantic Classification
5.Symbolic/Number Classification
6.Figural Classification
7.Semantic Series
8.Number Series
9.Figural Series
10.Problem Solving*
11.Word Building
12.Coding and de-coding
13.Numerical operations
14.Symbolic operations
15.Trends
16.Space Orientation
18.Venn Diagrams
19.Drawing inferences
20.Punched hole/pattern-folding & unfolding
21.Figural Pattern – folding and completion
22.Indexing
23.Address matching
24.Data and City matching
25.Classification of centre codes/roll numbers
26.Small & Capital Letters/number-coding, decoding and classification
27.Embedded figures
28.Critical Thinking
29.Emotional Intelligence
30.Social Intelligence
31.Other sub-topics, if any
 ----------------------------------------------------------------------------
 English Language :
1.Spot the Error
2.Fill in the Blanks
3.Synonyms
4.Antonyms
5.Spellings/Detecting Mis-spelt words
6.Idioms & Phrases
7.One word substitution
8.Improvement of Sentences
9.Active/Passive Voice of Verbs
10.Conversion into Direct/Indirect narration
11.Shuffling of Sentence parts
12.Shuffling of Sentences in a passage
13.Cloze Passage
14.Comprehension Passage
(* To be commensurate with the minimum prescribed educational qualifications (10th, 12th Graduate, Post-Graduate) for the post)
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 Numerical Aptitude:

C.1 ARITHMATIC

C.1.1 Number Systems:

Computation of Whole Number

Decimal and Fractions

Relationship between numbers

C.1.2 Fundamental arithmetical operations:

Percentages

Ratio and Proportion

Square roots

Averages

Interest (Simple and Compound)

Profit and Loss

Discount

Partnership Business

Mixture and Alligation

Time and distance

Time and work

C.2 ALGEBRA:

C.2.1 Basic algebraic identities of School Algebra (and their simple applications) e.g. Formulas for (a+b)2,(a-b)2, (a+b)3 (a-b)3 , a3-b3, a3+b3, a2-b2; if a+b+c=0, then a3+b3+c3=3 abc etc. and Elementary surds (simple problems)

C.2.2 Graphs of Linear Equations.

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 C.3 GEOMETRY:

Familiarity with elementary geometric figures and facts:

C.3.1 Triangle and its various kinds of centres viz. Centroid, In-centre, Orthocentre, Circumcentre

C.3.2 Congruence and similarity of triangles

C.3.3 Circle and its chords, tangents, angles subtended by chords of a circle, common tangents to two or more circles.

---------------------------------

C.4 MENSURATION:

C.4.1 Triangle, Quadrilaterals

C.4.2 Regular Polygons (sum of the internal angles of a polygon)

C.4.3 Circle

C.4.4 Right Prism

C.4.5 Right Circular Cone

C.4.6 Right Circular Cylinder

C.4.7 Sphere, Hemispheres

C.4.8 Rectangular Parallelepiped

C.4.9 Regular Right Pyramid with triangular or square Base

C.5: TRIGONOMETRY:

C.5.1 Trigonometry (for acute angles 0 with 0≤0≤90)

Trigonometric ratios

Degree and Radian Measures

Standard Identities like sin20 + Cos20=1 etc.

C.5.2 Complementary Angles, Heights and Distances (simple problems only)

C.6 : STATISTICAL CHARTS :

Use of Tables and Graphs:

C.6.1 Histogram

C.6.2 Frequency polygen

C.6.3 Bar-diagram

C.6.4 Pic-chart

General Awareness: Questions are designed to test the ability of the candidate‟s general awareness of the environment around him and its application to society. Questions are also designed to test knowledge of current events and of such matters of everyday observation and experience in their scientific aspect as may be expected of an educated person. The test will also include questions relating to India and its neighbouring countries especially pertaining to History, Culture Geography, Economic Scene, General policy and scientific research.

NOTE-1: For VH candidates of 40% and above visual disability and opting for SCRIBES there will be no component of Maps/Graphs/Diagrams/Statistical Data in the General Intelligence & Reasoning / General Awareness Paper.

NOTE-2: The questions will be of the level to commensurate with Educational Qualification prescribed for the posts.

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(B) SKILL TEST for DATA ENTRY OPERATOR:

Data Entry Speed of 8,000 (eight thousand) Key Depressions per hour on Computer.

The ‘Speed of 8000 key depressions per hour on Computer’ will be adjudged on the basis of the correct entry of all the key depressions in computer as per the given passage and the duration of the said Test will be 15 (Fifteen) minutes and printed passage in English containing about 2000-2200 strokes/key-depressions would be given to each candidate who would enter the same in the Computer.
The “Data Entry Speed” Skill Test would be of qualifying nature. Candidates allowed to take this test, will have to qualify the test at the prescribed speed on Computer, to be provided by the Commission or the agency authorized by the Commission to conduct such skill test at the Centre/venue so notified.
Only those candidates who qualify in the written part of examination and secure at least minimum qualifying marks as may be fixed by the Commission in their discretion, will be eligible to take the Skill Test.
Only such candidates who qualify in the Skill Test at a speed of not less than 8000 key depressions per hour will be eligible for being recommended for appointment as per their position in the merit list.
None of the candidates including PH candidates who qualify in the written part of the examination will be exempted from the Skill Test as passing of the skill test is the precondition and one of the essential qualifications for appointment to the post of Data Entry Operator.
NOTE-I: Only those candidates who secure at least the minimum qualifying marks in the written examination, as may be fixed by the Commission at their discretion, will be called for skill test.
Provided that candidates belonging to Scheduled Castes, Scheduled Tribes, OBC, ExS and PH may be called for the Skill Test by the Commission by applying relaxed standards if the Commission is of the opinion that sufficient number of candidates of these categories are not likely to be called for the skill test on the basis of general standard in order to fill up the vacancies reserved for these categories (i.e. SC, ST, PH, ExS and OBC).
NOTE-II: Central Government civilian employees availing age relaxation must furnish “No Objection Certificate” from their Employer/Office at the time of the skill test, failing which the benefit of age relaxation will not be allowed to such candidates and they will not be allowed to appear in the Skill Test.
The skill test will be held at the Commission's Regional Offices or other centers as may be decided by the Commission.
(C) Typing Test for LDCs:
Typing Test will be conducted for those candidates who qualify in the Written Examination. Such Typing Test will be conducted only in English or Hindi and candidates while applying for the Examination, will have to indicate his/her choice/option for Skill Test Medium in the Application Form.
Typing Test to be administered on the Computer, to be provided by the Commission or any agency authorized by the Commission will be of qualifying in nature.
Candidates opting for English medium should have typing speed of 35 words per minute and those opting for Hindi medium should have typing speed of 30 words per minute.
The speed will be adjudged on the accuracy of typing on the Computer of a given text passage in 10 minutes. Visually Handicapped candidates (with 40% disability and above) will be allowed 30 minutes.
Passage Dictators will be provided to each of VH candidates by the Commission for the Typewriting test. The Passage Dictators will read out the passage to the VH candidates within the allotted time period.
NOTE-I :35 w.p.m. and 30 w.p.m. corresponds to 10500 key depressions per hour/9000 key depressions per hour respectively.
NOTE-II: A candidate who claims to be permanently unfit to take the typewriting test because of a physical disability may, with the prior approval of the Commission, be exempted from the requirement of appearing and qualifying at such test, provided such a candidate submits a Certificate in the prescribed format to the Commission from the competent Medical Authority, i.e., the Civil Surgeon declaring him/her to be permanently unfit for the Typewriting Test because of a physical disability.
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NOTE-III: If a candidate who submits a Medical Certificate from the Medical Board attached to VRC for PH persons or from the Medical Board attached to Special Employment Exchange for PH persons, his/her claim for exemption from Typewriting Test would be accepted. However, if, she/he submits Medical Certificate from Civil/Orthopaedic Surgeon, his/her case would be referred to a Medical Board in a Government Hospital or Medical Board attached to VRC/Special Employment Exchange for PH persons for clearance.
Candidates seeking exemption from Typing test on medical ground must substantiate their claim by furnishing the relevant Medical Certificate in the prescribed Format as published in this Notice (Annexure-IX ) at the time of Typing Test. Otherwise their claim for seeking exemption from Typing Test will not be entertained by the Commission.
NOTE-IV : If any candidate does not opt for any medium for typing, his option will be deemed to be for English medium.
9. GENERAL INSTRUCTIONS TO BE COMPLIED BY THE CANDIDATES IN THE WRITTEN EXAMINATION
(i) Candidates must write the papers/indicate the answers in their own hand.
(ii) In the question papers, wherever necessary, the Metric systems of weights and measures only will be used.
(iii) Candidates are not permitted to use calculators and other electronic gadgets except as specified in the Notice. They should not, therefore, bring the same inside the Examination Premises / Venue.
(iv) If any candidate is found to possess mobile phones or any other means of wireless communication in the working or switched off mode in the examination hall, his/her candidature shall be cancelled forthwith.

10. MODE OF SELECTION :
Candidates will be shortlisted for the skill test on the basis of their performance in the Written Examination. Candidates who qualify in the skill test will be recommended for appointment by the Commission on the basis of their performance in the Written Examination. Nomination of candidates will be made to User Departments depending upon their merit position and option for Group „X‟ and Group „Y‟ posts, irrespective of whether they took the typing test in English / Hindi unless the User Department specifically seeks candidates with typing skill in either of these languages.
Provided that SC, ST, OBC and PH candidates, who are selected on their own merit without relaxed standards, alongwith candidates belonging to other communities, will not be adjusted against the reserved share of vacancies. Such SC, ST, OBC and PH candidates will be accommodated against the general/unreserved vacancies as per their position in the overall Merit List. The reserved vacancies will be filled up separately from amongst the eligible SCs.

STs, OBCs, and PH candidates which will, thus, comprise of SC , ST, OBC and PH candidates who are lower in merit than the last general candidate on merit list of unreserved category but otherwise found suitable for appointment even by relaxed standard.

An Ex-Serviceman or Physically Handicapped category candidate who qualifies on the basis of relaxed standards viz. age limit, experience or qualifications, permitted number of chances in written examination, extended zone of consideration, etc. is to be counted against reserved vacancies and not against general vacancies subject to fitness of such candidate for selection. Such candidates may also be recommended at the relaxed standards to the extent the number of vacancies reserved for them, to make up for the deficiency in the reserved quota, irrespective of their rank in the order of merit. In so far as cases of Ex-Serviceman are concerned, deduction of the military service rendered from the age of Ex-Servicemen is permissible against the reserved or unreserved posts and such exemption cannot be termed as relaxed standards in regard to age.
Success in the examination confers no right of appointment unless government are satisfied after such enquiry as may be considered necessary that the candidate is suitable in all respects of appointment to the service/post.
11. RESOLUTION OF TIE CASES (Ties cases will be resolved by applying one after another, as applicable till the Tie is resolved).
(i) Total marks in the written examination.
(ii) Date of Birth, with older candidate placed higher.
(iii)Alphabetical order in which the first names of the candidates appear.
12. HOW TO APPLY : Applications must be submitted only in the prescribed format
( Annexure-I ) or On-line. For detailed instructions relating to the application form and how the application is to be submitted, Annexure - II A or Annexure - II B, for paper applications and on-line applications respectively, may be referred to.
For filling up Paper Application please see the respective paras at Annexure-II-A. Para numbers of Annexure-II-A refer to column numbers of Application form.
13. Preference
Candidates will be required to indicate in the application form for the Examination, the order of preference for the posts of Data Entry Operator and Lower Division Clerk and preference of Group-X & Y service.
Preferences of Departments/Offices for allocation(subject to availability of confirmed number of vacancies for the concerned Offices/Ministries)
Group X:
The posts of LDC, are expected to be located in the following offices/Services:
A. ARMED FORCES HEADQUARTERS’CLERICAL SERVICE LOWER DIVISION GRADE
B. ELECTION COMMISSION OF INDIA
C. INTELLIGENCE BUREAU
E. COAST GUARD, NEW DELHI
G. INDIAN FOREIGN SERVICE(B) GRADE IV
H. CENTRAL BUREAU OF INVESTIGATION
I. O/o CONTROLLER GENERAL OF ACCOUNTS

J. MINISTRY OF PARLIAMENTARY AFFAIRS

K. PRESIDENT’S SECRETARIAT

L. CENTRAL VIGILANCE COMMISSION

O. ANY OTHER DEPARTMENT/OFFICE NOT MENTIONED ABOVE

===================================================================

For details visit : http://ssc.nic.in/whats%20new%20html/latest_news/Combined%20_DEO_%20LDC_Exam.pdf

UPSC IES/ISS Exam 2011 - INDIAN ECONOMIC SERVICE/INDIAN STATISTICAL SERVICE EXAMINATION, 2011

UNION PUBLIC SERVICE COMMISSION (UPSC)

Dholpur House, Shahjahan Road, New Delhi – 110 069

SCHEME /SYLLABUS FOR INDIAN ECONOMIC SERVICE/INDIAN STATISTICAL SERVICE EXAMINATION, 2011
Reference / Source : Employment News Paper / Rozgar Samachar Paper 30 July - 5 August 2011 , UPSC Website

SCHEME OF EXAMINATION

SECTION-I

1. The examination shall be conducted according to the following Plan:

Part I.

Written examination carrying a maximum of 1000 marks in the subjects as shown below.

Part II.

maximum of 200 marks.

Viva voce of such candidates as may be called by the Commission, carrying a

PART-I

The subjects of the written examination under Part I, the maximum marks allotted to each subject/paper and the time allowed shall be as follows:-

A. INDIAN ECONOMIC SERVICE

Sl.No. Subject Maximum marks Time allowed

1. General English 100 3 hours

2. General Studies 100 3 hours

3. General Economics-I 200 3 hours

4. General Economics-II 200 3 hours

5. General Economics-III 200 3 hours

6. Indian Economics 200 3 hours

B. INDIAN STATISTICAL SERVICE

Sl.No. Subject Maximum marks Time allowed

1. General English 100 3 hours

2. General Studies 100 3 hours

3. Statistics-I 200 3 hours

4. Statistics-II 200 3 hours

5. Statistics-III 200 3 hours

6. Statistics-IV 200 3 hours

Note:

2. The question papers in all the subjects will be of Conventional (essay) type.

3. ALL QUESTION PAPERS MUST BE ANSWERED IN ENGLISH. QUESTION PAPERS

WILL BE SET IN ENGLISH ONLY.

4. Candidates must write the papers in their own hand. In no circumstances, will they be allowed the help of a scribe to write the answers for them.

5. The Commission have discretion to fix qualifying marks in any or all the subjects of the examination.

6. If a candidate’s handwriting is not easily legible, a deduction will be made on this account, from the total marks otherwise accruing to him/her.

7. Marks will not be allotted for mere superficial knowledge.

8. Credit will be given for orderly, effective and exact expression combined with due economy of words.

9. In the question papers, wherever required, SI units will be used.

10. Candidates will be allowed the use of Scientific (Non-Programmable type) Calculator at the examination. Programmable type calculators will, however, not be allowed and the use of such calculators shall tantamount to resorting to unfair means by the candidates. Loaning or interchanging of calculators in the Examination Hall is not permitted.

11. Candidates should use only International form of Indian numerals (e.g. 1,2,3,4,5,6

etc.) while answering question papers.

The details of standard and syllabi for the examination are given in Section II below.

PART-II

Viva voce–

The interview is intended to supplement the written examination for testing the general and specialised knowledge and abilities of the candidate. The candidate will be expected to have taken an intelligent interest not only in his/her subjects of academic study but also in events which are happening around him/her both within and outside his/her own State or country, as well as in modern currents of thought and in new discoveries which should rouse the curiosity of well-educated youth.

2. The technique of the interview is not that of a strict cross examination, but of a natural, through directed and purposive conversation, intended to reveal mental qualities of the candidate and his/her grasp of problems. The Board will pay special attention to assessing the intellectual curiosity, critical powers of assimilation, balance of judgement and alertness of mind, the ability for social cohesion, integrity of character, initiation and capacity of leadership.

The candidate will be interviewed by a Board of competent and unbiased observers who will have before them a record of his/her career. The object of the interview is to assess his/her suitablity for the Service for which he/she has competed.

SECTION-II

STANDARD AND SYLLABI

The standard of papers in General English and General Studies will be such as may be expected of a graduate of an Indian University.

The standard of papers in the other subjects will be that of the Master’s degree examination of an Indian University in the relevant disciplines. The candidates will be expected to illustrate theory by facts, and to analyse problems with the help of theory.

They will be expected to be particularly conversant with Indian problems in the field of

Economic/Statistics.

GENERAL ENGLISH

Candidates will be required to write an essay in English. Other questions will be designed to test their understanding of English and workmanlike use of words.

Passages will usually be set for summary or precis.

GENERAL STUDIES

General Knowledge including knowledge of current events and of such matters of every day observation and experience in their scientific aspects as may be expected of an educated person who has not made a special study of any scientific subject. The paper will also include questions on Indian Polity including the political system and the Constitution of India, History of India and Geography of a nature which the candidate should be able to answer without special study.

GENERAL ECONOMICS-I

PART A:

1. Theory of Consumer’s Demand:

Cardinal utility Analysis; Marginal utility and demand, Consumer’s surplus, Indifference curve Analysis and utility function, Price income and substitution effects, Slutsky theorem and derivation of demand curve,Revealed preference theory. Duality and indirect utility function and expenditure function, Choice under risk and uncertainty.

2. Theory of Production:

Duality and cost function, Measures of productive efficiency of firms, technical and allocative efficiency. Partial Equilibrium versus General Equilibrium approach.

Equilibrium of the firm and industry.

Factors of production and production function. Forms of Production Functions: Cobb-Douglas, CES and Fixed coefficient type, Translog production function. Laws of return, Returns to scale and Return to factors of production.

3. Theory of Value:

Pricing under different market structures, public sector pricing, marginal cost pricing, peak load pricing, cross-subsidy free pricing and average cost pricing. Marshallian and Walrasian stability analysis. Pricing with incomplete information and moral hazard problems.

4. Theory of Distribution:

Neo classical distribution theories; Marginal productivity theory of determination of factor prices, Factor shares and adding up problems. Euler’s theorem, Pricing of factors under imperfect competition, monopoly and bilateral monopoly. Macro-distribution theories of Ricardo, Marx, Kaldor, Kalecki.

5. Welfare Economics:

Inter-personal comparison and aggregation problem, Public goods and externality, Divergence between social and private welfare, compensation principle. Pareto optimality. Social choice and other recent schools, including Coase and Sen and Game theory.

PART B:

Quantitative Methods in Economics:

1. Mathematical Methods in Economics:

in economics. Linear algebra and Linear programming in economics and Input-output model of Leontief.

Differentiation and Integration and their application in economics. Optimisation techniques, Sets, Matrices and their application

2. Statistical and Econometric Methods:

curves based on various linear and non-linear function. Least square methods and

other multivariate analysis (only concepts and interpretation of results). Analysis of

Variance, Factor analysis, Principle component analysis, Discriminant analysis.

Income distribution: Pareto law of Distribution, lognormal distribution, measurement

of income inequality. Lorenze curve and Gini coefficient.

Measures of central tendency and dispersions, Correlation and Regression. Time series. Index numbers. Sampling and Survey methods. Testing of hypothesis, simple non-parametric tests. Drawing of

GENERAL ECONOMICS-II

1. Economic Thought:

Keynesian and Monetarist schools of thought.

Mercantilism Physiocrats, Clasical, Marxist, Neo-classical,

2. Concept of National Income and Social Accounting:

Green national income.

Measurement of National Income, Inter relationship between three measures of national income in the presence of the Government sector and International transactions. Environmental considerations,

3. Theory of employment, Output, Inflation, Money and Finance:

of Employment and Output and Neo classical approaches. Equilibrium, analysis under

classical and neo classical analysis. Keynesian theory of Employment and output.

Post Keynesian developments. The inflationary gap; Demand pull versus cost push inflation, the Philip’s curve and its policy implication. Classical theory on Money, Quantity theory of Money. Friedman’s restatement of the quantity theory, the neutrality of money. The supply and demand for loanable funds and equilibrium in financial markets, Keynes’ theory on demand for money.

The Classical theory

4. Financial and Capital Market:

Finance and economic development, financial markets, stock market, gift market, banking and insurance. Equity markets, Role of Primary and Secondary markets and efficiency, Derivatives markets; Futures and options.

5. Economic Growth and Development:

Concepts of Economic Growth and Development and their measurement: characteristics of less developed countries and obstacles to their development – growth, poverty and income distribution. Theories of growth: Classical Approach: Adam Smith, Marx and Schumpeter – Neo classical approach; Robinson, Solow, Kaldor and harrod Domar. Theories of Economic Development, rostow, Rosenstein-Roden, Nurske, Hirschman, Leibenstien and Arthur Lewis, Amin and Frank (Dependency school) respective role of the state and the market. Utilitarian and Welfariest approach to social development and A K Sen’s critique. Sen’s capability approach to economic development. The Human Development Index. Physical quality of Life Index and Human Povery Index.

6. International Economics:

Ricardo, Haberler, Heckscher-Ohlin and Stopler-Samuelson – Theory of Tariffs –

Regional Trade Arrangements.

Gains from International Trade, Terms of Trade, policy, international trade and economic development – Theories of International Trade;

7. Balance of Payments:

Disequilibrium in Balance of Payments, Mechanism of Adjustments, Foreign Trade Multiplier, Exchange Rates, Import and Exchange Controls and Multiple Exchange Rates.

8. Global Institutions:

and WTO, Multinational Corporations.

UN agencies dealing with economic aspects, World Bank, IMF

GENERAL ECONOMICS-III

1. Public Finance:

taxation; Theories of public expenditure: objectives and effects of public expenditure,

public expenditure policy and social cost benefit analysis, criteria of public investment

decisions social rate of discount, shadow prices of investment, unskilled labour and

foreign exchange. Budgetary deficits. Theory of public debt management.

Theories of taxation: Optimal taxes and tax reforms, incidence of

2. Environmental Economics:

UN Methodology of Integrated Environmental and Economic Accounting.

Environmental Values: Users and non-users values; option value. Valuation Methods:

Stated and revealed preference methods. Design of Environmental Policy Instruments:

Pollution taxes and pollution permits, collective action and informal regulation by local

communities. Theories of exhaustible and renewable resources. International

environmental agreements. Climatic change problems. Kyoto protocol, tradable permits

and carbon taxes.

Environmentally sustainable development, Green GDP,

3. Industrial Economics:

differentiation and market concentration, monopolistic price theory and oligopolistic

interdependence and pricing, entry preventing pricing, micro level investment decisions

and the behavior of firms, research and development and innovation, market structure

and profitability, public policy and development of firms.

Market structure, conduct and performance of firms, product

4. State, Market and Planning:

and market. Indicative Planning. Decentralised Planning.

------------------------------------------------------------------------------------------------------------------------------

Planning in a developing economy. Planning regulation

INDIAN ECONOMICS

1. History of Development and Planning:

of self reliance based on import substitution and protection, the post 1991 globalisation

strategies based on stabilization and structural adjustment packages: fiscal reforms,

financial sector reforms and trade reforms.

Alternative Development Strategies – goal

2. Federal Finance:

the states, Finance Commissions and their formulae for sharing taxes, Financial aspect

of Sarkaria Commission Report, Financial aspects of 73rd and 74th Constitutional

Amendments.Constitutional provisions relating to fiscal and financial powers of

3. Poverty, Unemployment and Human Development:

poverty measures for India, appraisal of Government measures, India’s human

development record in global perspective. India’s population policy and development.

Estimates of inequality and

4. Agriculture and Rural Development Strategies:

land relations and land reforms, rural credit, modern farm inputs and marketing – price

policy and subsidies; commercialization and diversification. Rural development

programmes including poverty alleviation programmes, development of economic

and social infrastructure and New Rural Employment Guarantee Scheme.

Technologies and institutions,

5. India’s experience with Urbanisation and Migration:

flows and their impact on the economies of their origin and destination, the process of

growth of urban settlements; urban development strategies.

Different types of migratory

6. Industry:

Policy relating to small scale industries. Competition policy, Sources of industrial

finances. Bank, share market, insurace companies, pension funds, non-banking

sources and foreign direct investment, role of foreign capital for direct investment and

portfolio investment, Public Sector reform, privatization and disinvestments.

Strategy of Industrial development: Industrial Policy Reforms; Reservation

7. Labour:

and labour welfare – strategies for employment generation – Urban labour market

and informal sector employment, Report of National Commission on Labour, Social

issues relating to labour e.g. Child Labour, Bonded Labour, International Labour

Standard and its impact.

Employment, unemployment and under-employment, industrial relations

8. Foreign Trade:

organization of trade, recent changes in trade policy, balance of payments, tariff policy,

exchange rate, India and WTO requirements.

Sailent features of India’s foreign trade, composition, direction and

9. Money and Banking:

changing roles of the Reserve Bank of India, commercial banks, development finance

institutions, foreign banks and non-banking financial institutions, Indian capital market

and SEBI, Development in Global Financial Market and its relationship with Indian

Financial Sector.

Financial sector reforms, Organisation of India’s money market,

10. Inflation:

Wholesale Price Index, Consumer Price Index: components and trends.

Definition, trends, estimates, consequences and remedies (control):

11. Budgeting and Fiscal Policy:

fiscal reforms, Public debt management and reforms, Fiscal Responsibility and Budget

Management (FRBM) Act, Black money and Parallel economy in India definition,

estimates, genesis, consequences and remedies.

Tax, expenditure, budgetary deficits, pension and

STATISTICS-I

1. Probaility

Elements of measure theory, Classical definitions and axiomatic approach. Sample

space. Class of events and Probability measure. Laws of total and compound

probability. Probability of m events out of n. Conditional probability, Bayes’ theorem.

Random variables - discrete and continuous. Distribution function. Standard probability

distributions - Bernoulli, uniform, binomial, Poisson, geometric, rectangular,

exponential, normal, Cauchy, hypergeometric, multinomial, Laplace, negative binomial,

beta, gamma, lognormal and compound. Poisson distribution. Joint distributions,

conditional distributions, Distributions of functions of random variables. Convergence

in distribution, in probability, with probability one and in mean square. Moments and

cumulants. Mathematical expectation and conditional expectation. Characteristic

function and moment and probability generating functions Inversion uniqueness and

continuity theorems. Borel 0-1 law: Kolmogorov’s 0-1 law. Tchebycheff’s and

Kolmogorov’s inequalities. Laws of large numbers and central limit theorems for

independent variables. Conditional expectation and Martingales.

2. Statistical Methods

(a) Collection, compilation and presentation of data, Charts, diagrams and histogram.

Frequency distribution. Measures of location, dispersion, skewness and kurtosis.

Bivariate and multivariate data. Association and contingency. Curve fitting and

orthogonal polynomials. Bivariate normal distribution. regression-linear, polynomial.

Distribution of the correlation coefficient, Partial and multiple correlation, Intraclass

correlation, Correlation ratio.

(b) Standard errors and large sample test. Sampling distributions of x,s2, t, chisqure

and F; tests of significance based on them, Small sample tests.

(c) Non-parametric tests-Goodness of fit, sign, median, run, Wicloxon, Mann-Whitney,

Wald-Wolfowitz and Kolmogorov-Smirnov. Rank order statistics-minimum, maximum,

range and median. Concept of Asymptotic relative effciency.

3. Numerical Analysis

Interpolation formulae (with remainder terms) due to Lagrange, Newton-Gregory,

Newton Divided different, Gauss and Striling. Euler-Maclaurin’s summation formula.

Inverse interpolation. Numerical integration and differentiation. Difference equations

of the first order. Linear difference equations with constant coefficients.

STATISTICS-II

1. Linear Models

Theory of linear estimation. Gauss-Markoff setup. Least square estimators. Use of ginverse.

analysis of one-way and two way classified data-fixed, mixed and random

effect models. Tests for regression coefficients.

2. Estimation

Characteristics of good estimator. Estimation methods of maximum likelihood, minimum

chi-square, moments and least squares. Optimal properties of maximum likelihood

estimators. Minimum variance unbiased estimators. Minimum variance bound

estimators. Cramer-Rao inequality. Bhattacharya bounds. Sufficient estimator.

factorisation theorem. Complete statistics. Rao-Blackwell theorem. Confidence interval

estimation. Optimum confidence bounds. Resampling, Bootstrap and Jacknife.

3. Hypotheses testing and Statistical Quality Control

(a) Hypothesis testing:

region. Different types of critical regions and similar regions. Power function. MostSimple and composite hypothesis. Two kinds of error. Critical

powerful and uniformly most powerful tests. Neyman-Pearson fundamental lemma.

Unbiased test. Randomised test. Likelihood ratio test. Wald’s SPRT, OC and ASN

functions. Elements of decision and game theory.

b) Statistical Quality Control:

Sampling by attributes-Single, double, multiple and sequential Sampling plans;

Concepts of AOQL and ATI; Acceptance Sampling by variables-use of Dodge-Romig

and other tables.

Control Charts for variable and attributes. Acceptance

4. Multivariate Analysis

Multivariate normal distribution. Estimation of mean Vector and covariance matrix.

Distribution of Hotelling’s T2-statistic, Mahalanobis’s D2-statistic, and their use in

testing. Partial and multiple correlation coefficients in samples from a multivariate

normal population. Wishart’s distribution, its reproductive and other properties. Wilk’s

criterion. Discriminant function. Principal components. Canonical variates and

correlations.

STATISTICS-III

1. Sampling Techniques:

Census versus sample survey. Pilot and large scale sample surveys. Role of NSS

organisation. Simple random sampling with and without replacement. Stratified

sampling and sample allocations. Cos and Variance functions. Ratio and Regression

methods of estimation. Sampling with probability proportional to size. Cluster, double,

multiphase, multistage and systematic sampling. Interpenetrating sub-sampling. Nonsampling

errors.

2. Design and Analysis of Experiments

Principles of design of experiments. Layout and analysis of completely randomised,

randomised block and Latin square designs. Factorial experiments and confounding

in 2n and 3n experiments. Split-plot and strip-plot designs. Construction and analysis

of balanced and partially balanced incomplete block designs. Analysis of covariance.

Analysis of non-orthogonal data. analysis of missing and mixed plot data.

3. Economic Statistics

Components of time series. Methods of their determination-variate difference method.

Yule-Slutsky effect. Correlogram. Autoregressive models of first and second order.

Periodogram analysis. Index numbers of prices and quantities and their relative merits.

Construction of index numbers of wholesale and consumer prices. Income distribution-

Pareto and Engel curves. Concentration curve.

Methods of estimating national income. Inter-sectoral flows. Inter-industry table. Role

of CSO.

4. Econometrics

Theory and analysis of consumer demand-specification and estimation of demand

functions. Demand elasticities. Structure and model. Estimation of parameters in single

equation model-classical least squares, generalised least-square, heteroscedasticity,

serial correlation, multi-collinearity, errors in variable model. Simultaneous equation

models-Identification, rank and other conditions. Indirect least squares and two stage

least squares. Short-term economic forecasting.

STATISTICS-IV

1. Stochastic Processes

Specifications of a Stochastic Process, Markov chains, classification of states, limiting

probabilities; stationary distribution; Random walk and Gambler’s ruin problem. Poisson

process, Birth and death process; applications to Queues-M/M/I and M/M/C models.

Branching Process.

2. Operations Research:

Elements of linear programming. Simplex procedure. Pirnciple of duality. Transport

and assignment problems. Single and multi-period inventory control models. ABC

analysis. General simulation problems. Replacemnet models for items that fail and or

items that deteriorate.

3. Demography and Vital Statistics:

The life table, its constitution and properties. Makehams and Gompertz curves. National

life tables. UN model life tables. Abridged life tables. Stable and stationary populations.

Different birth rates. Total fertility rate. Gross and net reproduction rates. Different

mortality rates. Standardised death rate. Internal and international migration: net

migration. International and postcensal estimates. Projection method including logistic

curve fitting. Decennial population census in India.

4. Computer Application and Data Processing:

(a) Computer Application

Computer system concepts:

Central Processing unit, Main memory, Bit, Byte, Word, Input/Output Devices, Speeds

and memory Capacities in computer systems.

Computer system components and functions. The

Software concepts:

System, application Software, Software for multi-tasking, multi-programming, Batch

Processign Mode, Time sharing mode, Concept of System Support Programme,

Overview of Existing Software packages on Word Processing and Spreadsheets.

Overview of Operating Systems, Types and Functions of Operating

Overview of an application Specific Programme:

Fundamental of design and analysis of Algorithm; Basics of data structure, Queue,

Stack.

Flow charts, Basics of Algorithm,

(b) Data Processing

Data processing:

of integers, Binary representation of real numbers, Logical Data element like character,

fields, records, files, Fundamentals of data transmission and processing incluidng

error control and error processing.

Digital Number System, Number conversions, Binary representation

Data base management:

organisation and procesing. (a) Direct, (b) Sequantial, (c) Indexed Sequential file.

Concepts of Client Server architecture, Data Base Administrator. An overview of DBMS

software.

Data Resource management. Data base and file