Engineering & entrance exams

GATE & PSUs - Engineering Mathematics & General Aptitude (Common) question bank — free practice questions

198 free GATE & PSUs - Engineering Mathematics & General Aptitude (Common) questions with answers and solutions, organised by subject and chapter.

Coverage

GATE & PSUs - Engineering Mathematics & General Aptitude (Common) subjects & chapters

198 free questions across 6 subjects.

Calculus & Vector Calculus (35 questions)

Mean Value Theorems, Taylor & Maclaurin Series

7 questions

Practice

Indeterminate Forms & L’Hôpital’s Rule

7 questions

Practice

Maxima, Minima & Saddle Points of Multivariable Functions

7 questions

Practice

Gradient, Divergence, Curl & Directional Derivatives

7 questions

Practice

Vector Line, Surface & Volume Integrals (Green’s, Gauss & Stokes Theorems)

7 questions

Practice

Differential Equations (33 questions)

First-Order Linear & Non-Linear Differential Equations

9 questions

Practice

Higher-Order Linear ODEs with Constant Coefficients

8 questions

Practice

Euler-Cauchy Equations & Method of Variation of Parameters

8 questions

Practice

Partial Differential Equations (Heat, Wave & Laplace Equations)

8 questions

Practice

Probability & Statistics (33 questions)

Axioms of Probability, Conditional Probability & Bayes’ Theorem

9 questions

Practice

Random Variables & Probability Distributions (Binomial, Poisson, Normal, Exponential)

8 questions

Practice

Mean, Variance, Correlation & Linear Regression

8 questions

Practice

Hypothesis Testing & Confidence Intervals

8 questions

Practice

General Aptitude & Reasoning (33 questions)

Numerical Computation & Data Interpretation (Percentages, Ratios, Speed & Work)

9 questions

Practice

Verbal Ability (Grammar, Vocabulary, Sentence Completion, Reading Comprehension)

8 questions

Practice

Logical & Analytical Reasoning (Syllogisms, Blood Relations, Seating Arrangements)

8 questions

Practice

Spatial Aptitude (Transformation of Shapes, Paper Folding, 2D/3D Rotations)

8 questions

Practice

Linear Algebra (33 questions)

Matrix Algebra, Determinants & Rank of Matrix

9 questions

Practice

Systems of Linear Equations (Consistency & Solutions)

8 questions

Practice

Eigenvalues & Eigenvectors (Cayley-Hamilton Theorem)

8 questions

Practice

Orthogonalization & Quadratic Forms

8 questions

Practice

Numerical Methods (31 questions)

Solutions of Non-linear Equations (Bisection, Regula-Falsi, Newton-Raphson)

11 questions

Practice

Numerical Integration (Trapezoidal, Simpson’s 1/3 and 3/8 Rules)

10 questions

Practice

Numerical Solution of ODEs (Euler, Modified Euler, Runge-Kutta 4th Order)

10 questions

Practice

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