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General Aptitude
- 250 questions
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Engineering Mathematics
- 221 questions
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Linear Algebra
- 33 questions - Matrix algebra, systems of linear equations, eigenvalues and eigenvectors.
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Calculus
- 84 questions - Functions of single variable, limit, continuity and differentiability, mean value theorems, indeterminate forms; evaluation of definite and improper integrals; double and triple integrals; partial derivatives, total derivative, Taylor series (in one and two variables), maxima and minima, Fourier series; gradient, divergence and curl, vector identities, directional derivatives, line, surface and volume integrals, applications of Gauss, Stokes and Green’s theorems.
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Differential Equations
- 36 questions - First order equations (linear and nonlinear); higher order linear differential equations with constant coefficients; Euler-Cauchy equation; initial and boundary value problems; Laplace transforms; solutions of heat, wave and Laplace's equations.
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Complex Variables
- 0 questions - Analytic functions; Cauchy-Riemann equations; Cauchy’s integral theorem and integral formula; Taylor and Laurent series.
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Probability and Statistics
- 36 questions - Definitions of probability, sampling theorems, conditional probability; mean, median, mode and standard deviation; random variables, binomial, Poisson and normal distributions.
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Numerical Methods
- 29 questions - Numerical solutions of linear and non-linear algebraic equations; integration by trapezoidal and Simpson’s rules; single and multi-step methods for differential equations.
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Applied Mechanics and Design
- 348 questions
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Fluid Mechanics and Thermal Sciences
- 332 questions
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Materials, Manufacturing and Industrial Engineering
- 210 questions
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Others
- 421 questions