Engineering & entrance exams

GATE Engineering - General Aptitude & Engineering Mathematics previous year questions (PYQ)

256 previous year GATE Engineering - General Aptitude & Engineering Mathematics questions, grouped by year, with answers and solutions.

2024 (256 questions)

Q1.

Engineering Analysis & Principles: In technical analysis of 'Linear Algebra: Matrices, Determinants, Rank, Eigenvalues and Cayley-Hamilton Theorem' within Linear Algebra, Calculus, Differential Equations & Probability, which governing relationship or mathematical model determines optimal system response under equilibrium conditions?

(A)

First-order linear differential operator with boundary conditions matching system eigenvalues (Linear Algebra: Matrices, Determinants, Rank, Eigenvalues and Cayley-Hamilton Theorem)

(B)

Zero-order static algebraic summation neglecting non-linear feedback

(C)

Unconstrained stochastic random walk without conservation criteria

(D)

Non-convergent divergence theorem with unbounded parameter drift

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Q2.

GATE Technical Standard: In computational modeling of 'Linear Algebra: Matrices, Determinants, Rank, Eigenvalues and Cayley-Hamilton Theorem', what constitutes the primary performance trade-off regarding asymptotic efficiency and resource conservation?

(A)

Minimizing peak algorithmic runtime and memory latency through optimal dynamic constraints (Linear Algebra: Matrices, Determinants, Rank, Eigenvalues and Cayley-Hamilton Theorem)

(B)

Maximizing redundant register transfers to force artificial synchronization

(C)

Arbitrary thread serialization without mutex coordination or race mitigation

(D)

Unbounded stack consumption with circular recursive invocation

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