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GATE & PSUs - Engineering Mathematics & General Aptitude (Common) subjects & chapters
198 questions across 6 subjects.
Calculus & Vector Calculus
35 questions
Gradient, Divergence, Curl & Directional Derivatives (7), Indeterminate Forms & L’Hôpital’s Rule (7), Maxima, Minima & Saddle Points of Multivariable Functions (7), Mean Value Theorems, Taylor & Maclaurin Series (7), Vector Line, Surface & Volume Integrals (Green’s, Gauss & Stokes Theorems) (7)
Differential Equations
33 questions
First-Order Linear & Non-Linear Differential Equations (9), Euler-Cauchy Equations & Method of Variation of Parameters (8), Higher-Order Linear ODEs with Constant Coefficients (8), Partial Differential Equations (Heat, Wave & Laplace Equations) (8)
Probability & Statistics
33 questions
Axioms of Probability, Conditional Probability & Bayes’ Theorem (9), Hypothesis Testing & Confidence Intervals (8), Mean, Variance, Correlation & Linear Regression (8), Random Variables & Probability Distributions (Binomial, Poisson, Normal, Exponential) (8)
General Aptitude & Reasoning
33 questions
Numerical Computation & Data Interpretation (Percentages, Ratios, Speed & Work) (9), Logical & Analytical Reasoning (Syllogisms, Blood Relations, Seating Arrangements) (8), Spatial Aptitude (Transformation of Shapes, Paper Folding, 2D/3D Rotations) (8), Verbal Ability (Grammar, Vocabulary, Sentence Completion, Reading Comprehension) (8)
Linear Algebra
33 questions
Matrix Algebra, Determinants & Rank of Matrix (9), Eigenvalues & Eigenvectors (Cayley-Hamilton Theorem) (8), Orthogonalization & Quadratic Forms (8), Systems of Linear Equations (Consistency & Solutions) (8)
Numerical Methods
31 questions
Solutions of Non-linear Equations (Bisection, Regula-Falsi, Newton-Raphson) (11), Numerical Integration (Trapezoidal, Simpson’s 1/3 and 3/8 Rules) (10), Numerical Solution of ODEs (Euler, Modified Euler, Runge-Kutta 4th Order) (10)
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