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General Aptitude
- 221 questions
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Engineering Mathematics
- 154 questions
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Linear Algebra
- 29 questions - Matrix algebra; Systems of linear equations; Eigen values and Eigen vectors.
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Calculus
- 49 questions - Functions of single variable; Limit, continuity and differentiability; Mean value theorems, local maxima and minima; Taylor 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.
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Ordinary Differential Equation (ODE)
- 19 questions - First order (linear and non-linear) equations; higher order linear equations with constant coefficients; Euler-Cauchy equations; Laplace transform and its application in solving linear ODEs; initial and boundary value problems.
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Partial Differential Equation (PDE)
- 12 questions - Fourier series; separation of variables; solutions of one- dimensional diffusion equation; first and second order one-dimensional wave equation and two-dimensional Laplace equation.
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Probability and Statistics
- 25 questions - Sampling theorems; Conditional probability; Descriptive statistics - Mean, median, mode and standard deviation; Random Variables – Discrete and Continuous, Poisson and Normal Distribution; Linear regression.
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Numerical Methods
- 20 questions - Error analysis. Numerical solutions of linear and non-linear algebraic equations; Newton’s and Lagrange polynomials; numerical differentiation; Integration by trapezoidal and Simpson’s rule; Single and multi-step methods for first order differential equations.
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Structural Engineering
- 267 questions
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Geotechnical Engineering
- 159 questions
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Water Resources Engineering
- 166 questions
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Environmental Engineering
- 93 questions
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Transportation Engineering
- 103 questions
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Geomatics Engineering
- 51 questions - Principles of surveying; Errors and their adjustment; Maps - scale, coordinate system; Distance and angle measurement - Levelling and trigonometric levelling; Traversing and triangulation survey; Total station; Horizontal and vertical curves.
Photogrammetry and Remote Sensing - Scale, flying height; Basics of remote sensing and GIS.
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Others
- 351 questions - Not yet Classified