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**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

interpretation.

**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

equations.

**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

location; Work-study.

**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

of simulation.

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