Exam Pattern:
Section 
Question No. 
No. of Questions 
Marks per Question 
Total Marks 

General Aptitude 
1 to 5 
5 
1 
5 

Technical(CE) + Engineering Mathematics 
1 to 25 
25 
1 
25 

26 to 55 
30 
2 
60 

Total Questions: 65 
Total Marks : 100 
Total Duration : 3 hours 

Technical Section : 70 marks 
General Aptitude : 15 marks 
Engineering Mathematics : 15 marks 

25 marks to 40 marks will allotted to Numeric Answer Type Questions 

Multiple Choice Questions (MCQs): These questions are objective in nature and each question will have choice of four answers, out of which the candidate has to mark the correct answer. Each question carries 1 or 2 marks questions in all the sections.
Numerical Answer Questions: There will be no choices available for these types of questions. A Numeric Answer question carries 1 or 2 marks questions in all sections. The answer for these questions is a real number to be entered by using mouse and virtual keypad displayed on the monitor. No negative marking for these questions.
Negative Marking 

Question Type 
Marks 
Negative Marking 
Multi ple Choice Questions(MCQs) 
1 mark 
0.33 
2 marks 
0.66 

Numerical Answer Questions 
1 mark 
Nil 
2 marks 
Nil 
Syllabus:
Section 1: 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, local maxima and minima, Taylor and Maclaurin series; Evaluation of definite and indefinite integrals, application of definite integral to obtain area and volume; Partial derivatives; Total derivative; Gradient, Divergence and Curl, Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green’s theorems.
Ordinary Differential Equation (ODE): First order (linear and nonlinear) equations; higher order linear equations with constant coefficients; EulerCauchy equations; Laplace transform and its application in solving linear ODEs; initial and boundary value problems.
Partial Differential Equation (PDE): Fourier series; separation of variables; solutions of onedimensional diffusion equation; first and second order onedimensional wave equation and twodimensional Laplace equation.
Probability and Statistics: Definitions of probability and sampling theorems; Conditional probability; Discrete Random variables: Poisson and Binomial distributions; Continuous random variables: normal and exponential distributions; Descriptive statistics  Mean, median, mode and standard deviation; Hypothesis testing.
Numerical Methods: Accuracy and precision; error analysis. Numerical solutions of linear and nonlinear algebraic equations; Least square approximation, Newton’s and Lagrange polynomials, numerical differentiation, Integration by trapezoidal and Simpson’s rule, single and multistep methods for first order differential equations.
Section 2: Structural Engineering
Engineering Mechanics: System of forces, freebody diagrams, equilibrium equations; Internal forces in structures; Friction and its applications; Kinematics of point mass and rigid body; Centre of mass; Euler’s equations of motion; Impulsemomentum; Energy methods; Principles of virtual work.
Solid Mechanics: Bending moment and shear force in statically determinate beams; Simple stress and strain relationships; Theories of failures; Simple bending theory, flexural and shear stresses, shear centre; Uniform torsion, buckling of column, combined and direct bending stresses.
Structural Analysis: Statically determinate and indeterminate structures by force/ energy methods; Method of superposition; Analysis of trusses, arches, beams, cables and frames; Displacement methods: Slope deflection and moment distribution methods; Influence lines; Stiffness and flexibility methods of structural analysis.
Construction Materials and Management: Construction Materials: Structural steel  composition, material properties and behaviour; Concrete  constituents, mix design, shortterm and longterm properties; Bricks and mortar; Timber; Bitumen. Construction Management: Types of construction projects; Tendering and construction contracts; Rate analysis and standard specifications; Cost estimation; Project planning and network analysis  PERT and CPM.
Concrete Structures: Working stress, Limit state and Ultimate load design concepts; Design of beams, slabs, columns; Bond and development length; Prestressed concrete; Analysis of beam sections at transfer and service loads.
Steel Structures: Working stress and Limit state design concepts; Design of tension and compression members, beams and beam columns, column bases; Connections  simple and eccentric, beamcolumn connections, plate girders and trusses; Plastic analysis of beams and frames.
Section 3: Geotechnical Engineering
Soil Mechanics: Origin of soils, soil structure and fabric; Threephase system and phase relationships, index properties; Unified and Indian standard soil classification system; Permeability  one dimensional flow, Darcy’s law; Seepage through soils  twodimensional flow, flow nets, uplift pressure, piping; Principle of effective stress, capillarity, seepage force and quicksand condition; Compaction in laboratory and field conditions; Onedimensional consolidation, time rate of consolidation; Mohr’s circle, stress paths, effective and total shear strength parameters, characteristics of clays and sand.
Foundation Engineering: Subsurface investigations  scope, drilling bore holes, sampling, plate load test, standard penetration and cone penetration tests; Earth pressure theories  Rankine and Coulomb; Stability of slopes  finite and infinite slopes, method of slices and Bishop’s method; Stress distribution in soils  Boussinesq’s and Westergaard’s theories, pressure bulbs; Shallow foundations  Terzaghi’s and Meyerhoff’s bearing capacity theories, effect of water table; Combined footing and raft foundation; Contact pressure; Settlement analysis in sands and clays; Deep foundations  types of piles, dynamic and static formulae, load capacity of piles in sands and clays, pile load test, negative skin friction.
Section 4: Water Resources Engineering
Fluid Mechanics: Properties of fluids, fluid statics; Continuity, momentum, energy and corresponding equations; Potential flow, applications of momentum and energy equations; Laminar and turbulent flow; Flow in pipes, pipe networks; Concept of boundary layer and its growth.
Hydraulics: Forces on immersed bodies; Flow measurement in channels and pipes; Dimensional analysis and hydraulic similitude; Kinematics of flow, velocity triangles; Basics of hydraulic machines, specific speed of pumps and turbines; Channel Hydraulics  Energydepth relationships, specific energy, critical flow, slope profile, hydraulic jump, uniform flow and gradually varied flow
Hydrology: Hydrologic cycle, precipitation, evaporation, evapotranspiration, watershed, infiltration, unit hydrographs, hydrograph analysis, flood estimation and routing, reservoir capacity, reservoir and channel routing, surface runoff models, ground water hydrology  steady state well hydraulics and aquifers; Application of Darcy’s law.
Irrigation: Duty, delta, estimation of evapotranspiration; Crop water requirements; Design of lined and unlined canals, head works, gravity dams and spillways; Design of weirs on permeable foundation; Types of irrigation systems, irrigation methods; Water logging and drainage; Canal regulatory works, crossdrainage structures, outlets and escapes.