Syllabus for General Aptitude (GA)
(COMMON TO ALL PAPERS)
Verbal Ability: English grammar, sentence completion, verbal analogies, word groups,
instructions, critical reasoning and verbal deduction.
Numerical Ability: Numerical computation, numerical estimation, numerical reasoning and data
Section 1: Engineering Mathematics
Linear Algebra: Matrices and Determinants; Systems of linear equations; Eigen
values and Eigen vectors.
Calculus: Limit, continuity and differentiability; Partial Derivatives; Maxima and
minima; Sequences and series; Test for convergence; Fourier series.
Vector Calculus: Gradient; Divergence and Curl; Line; surface and volume
integrals; Stokes, Gauss and Green’s theorems.
Diferential Equations: Linear and non-linear first order ODEs; Higher order linear ODEs
with constant coefficients; Cauchy’s and Euler’s equations.
Probability and Statistics: Measures of central tendency; Random variables; Poisson,
normal and binomial distributions; Correlation and regression analysis.
Numerical Methods: Solutions of linear algebraic equations; Integration of
trapezoidal and Simpson’s rule; Single and multi-step methods for differential
Section 2: Mine Development and Surveying
Mine Development: Methods of access to deposits; Underground drivages; Drilling
methods and machines; Explosives, blasting devices and practices.
Mine Surveying: Levels and leveling, theodolite, tacheometry, triangulation;
Contouring; Errors and adjustments; Correlation; Underground surveying; Curves;
Photogrammetry; Field astronomy; EDM and Total Station; Introductory GPS .
Section 3: Geomechanics and Ground Control
Engineering Mechanics: Equivalent force systems; Equations of equilibrium; Two
dimensional frames and trusses; Free body diagrams; Friction forces; Particle
kinematics and dynamics; Beam analysis.
Geomechanics: Geo-technical properties of rocks; Rock mass classification;
Instrumentation and stress measurement techniques; Theories of rock failure;
Ground vibrations; Stress distribution around mine openings; Subsidence; Rock bursts
and coal bumps; Slope stability.
Ground Control: Design of pillars; Roof supporting systems; Mine filling.
Section 4: Mining Methods and Machinery
Mining Methods: Surface mining: layout, development, loading, transportation and
mechanization, continuous surface mining systems; Underground coal mining: bord
and pillar systems, room and pillar mining, longwall mining, thick seam mining
methods; highwall mining; Underground metal mining: open, supported and caved
stoping methods, stope mechanization, ore handling systems.
Mining Machinery: Generation and transmission of mechanical, hydraulic and
pneumatic power; Materials handling: haulages, conveyors, face and
development machinery, hoisting systems, pumps, crushers.
Section 5: Surface Environment, Mine Ventilation, and Underground Hazards
Surface Environment: Air, water and soil pollution : Standards of quality, causes and
dispersion of contamination, and control; Noise; Land reclamation.
Mine Ventilation: Underground atmosphere; Heat load sources and thermal
environment, air cooling; Mechanics of air flow, distribution, natural and
mechanical ventilation; Mine fans and their usage; Auxiliary ventilation; Ventilation
planning; Ventilation networks.
Subsurface Hazards: Mine Gases. Underground hazards from fires, explosions, dust
and inundation; Rescue apparatus and practices; Safety in mines; Accident data
analysis; Mine lighting; Mine legislation; Occupational safety.
Section 6: Mine Economics, Mine Planning, Systems Engineering
Mine Economics: Mineral resource classification; Discounted cash flow analysis;
Mine valuation; Mine investment analysis; Mineral taxation.
Mine Planning: Sampling methods, practices and interpretation; Reserve estimation
techniques: Basics of geostatistics and quality control; Optimization of facility
Systems Engineering: Concepts of reliability; Reliability of simple systems;
Maintainability and availability; Linear programming, transportation and
assignment problems; Network analysis; Inventory models; Queueing theory; Basics