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MLSU Previous Year Question Papers — BSc Mathematics

Free PDF download: MLSU old question papers (BSc Maths 1st, 2nd, 3rd year — NEP & Annual Scheme), UOR BSc Maths old papers (Rajasthan University · UG0803), CSIR NET Mathematical Sciences (2011–2025), GATE Mathematics MA (2007–2026), and IIT JAM Mathematics MA (2005–2026) — with written solutions & YouTube video solutions by Dr. Praveendra Singh, Udaipur.

Papers and solutions are being added progressively. For the most recent papers, always check the official examination authority websites. This page is updated regularly.

Direct links: MLSU UOR CSIR NET GATE IIT JAM
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MLSU BSc Mathematics — Previous Year Question Papers & Old Papers

Mohanlal Sukhadia University, Udaipur  |  NEP 2023-24 & Annual Scheme  |  BSc 1st Year · 2nd Year · 3rd Year  |  Semesters I–VI

MLSU old question papers PDF download · NEP Scheme · Annual Scheme · Calculus (MAT5000T) · Abstract Algebra (MAT5001T) · Differential Equations (MAT6002T) · Real Analysis (MAT6003T) · Linear Algebra · Operations Research (MAT7105T) · Free solutions

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MLSU B.Sc. Mathematics — Official NEP Syllabus
Mohanlal Sukhadia University, Udaipur  ·  2023-24 Onwards  ·  Semesters I–VI  ·  NEP Scheme
Download Syllabus PDF
DCC 6 Credits
MAT5000T
Calculus
Asymptotes, pedal equations, curvature & radius of curvature, tracing of curves (Cartesian & polar), Beta & Gamma functions, quadrature, rectification, partial differentiation, Euler's theorem, Lagrange's multiplier, Jacobians, double & triple integrals, Dirichlet's theorem, volume & surface of solid of revolution
2025–26 NEP
Question Paper Coming Soon
2024–25 NEP
Question Paper Solutions Video
2024–25 NEP
Due Paper Solutions Video
2023–24 NEP
Question Paper Solutions Video
2024–25 Annual Scheme
Question Paper Solutions Video
2023–24 Annual Scheme
Question Paper Solutions Video
2022–23 Annual Scheme
Question Paper Solutions Video
DCC 6 Credits
MAT5001T
Abstract Algebra
Groups: definitions, order of elements, subgroups; permutation groups, cyclic groups, even & odd permutations; cosets, Lagrange's theorem, normal subgroups, simple groups; quotient groups, homomorphism & isomorphism, Cayley's theorem, fundamental theorem of homomorphism; automorphisms, three isomorphism theorems; rings, integral domain, division ring, field, characteristic of a ring
2025–26 NEP
Question Paper Coming Soon
2024–25 NEP
Question Paper Solutions Video
2023–24 NEP
Question Paper Solutions Video
2025–26 Annual Scheme
Question Paper Solutions Video
2024–25 Annual Scheme
Question Paper Solutions Video
2023–24 Annual Scheme
Question Paper Solutions Video
2022–23 Annual Scheme
Question Paper Solutions Video
DCC 6 Credits
MAT6002T
Differential Equations
First order ODEs: variable separation, homogeneous, linear, exact; Clairaut's form, singular solutions; linear DEs with constant coefficients; homogeneous linear ODEs, simultaneous DEs; second order ODEs by inspection, change of variables, removal of first derivative, operational factors; PDEs: Lagrange's method, Charpit's method, standard forms
2024-25 NEP
Question Paper Solutions Video
2024-25 Annual Scheme
Question Paper Solutions Video
2023-24 Annual Scheme
Question Paper Solutions Video
2022-23 Annual Scheme
Question Paper Solutions Video
DCC 6 Credits
MAT6003T
Real Analysis
Continuity & derivability: Cauchy definition, Darboux theorem; real number system: ordered field, supremum & infimum, completeness, Archimedean property, Bolzano-Weierstrass theorem, Heine-Borel theorem, compact & connected sets; sequences: convergence, Cauchy sequences, uniform convergence; series: convergence tests, Leibnitz test, Weierstrass M-test, Abel's & Dirichlet's tests, Fourier series; Riemann integration: Darboux sums, fundamental theorem of calculus
2024-25 NEP
Question Paper Solutions Video
2025–26 Annual Scheme
Question Paper Solutions Video
2024–25 Annual Scheme
Question Paper Solutions Video
2023–24 Annual Scheme
Question Paper Solutions Video
2022–23 Annual Scheme
Question Paper Solutions Video
SEC 2 Credits
SES6360T
Advanced Calculus
Rolle's theorem, mean value theorems, Taylor's theorem; equivalent sets, denumerable & non-denumerable sets, countable & uncountable sets; non-denumerability of [0,1] and reals; improper integrals: comparison test, μ-test, Abel's test; uniform convergence: term-by-term differentiation & integration
2024–25 NEP
Question Paper Solutions Video
2023 to 2026 Annual Scheme
Question Paper Solutions Video

 Choose one DSE (Linear Algebra / Discrete Mathematics / Number Theory) and one SEC (Vector Calculus).

DSE 6 Credits
MAT7100T
Linear Algebra
Matrices: symmetric, skew-symmetric, Hermitian; row & column rank, eigenvalues & eigenvectors, Cayley-Hamilton theorem; vector spaces: subspaces, linear span, dependence & independence; basis & dimension, extension theorem; quotient space, linear transformations, rank & nullity, Sylvester's law; algebra of linear transformations, dual space & dual basis
2025–26 Annual Scheme
Question Paper Solutions Video
2024–25 Annual Scheme
Question Paper Solutions Video
2023–24 Annual Scheme
Question Paper Solutions Video
2022–23 Annual Scheme
Question Paper Solutions Video
DSE 6 Credits
MAT7101T
Discrete Mathematics
Sets: cardinality, induction, inclusion-exclusion, pigeon-hole, permutations & combinations; relations: binary relations, lattices, Hasse diagrams; graphs: Eulerian paths, planar graphs; trees: rooted, binary, spanning, minimal spanning; finite state machines; recurrence relations: generating functions, homogeneous & particular solutions; Boolean algebra: duality, propositional calculus, switching circuits
2025–26
Question Paper Solutions Video
DSE 6 Credits
MAT7102T
Number Theory
Divisibility: GCD, LCM, Euclidean algorithm, linear Diophantine equation ax+by=c, fundamental theorem of arithmetic; congruences: Fermat's little theorem, Euler's theorem, Wilson's theorem, Chinese remainder theorem; number-theoretic functions: τ, σ, Möbius inversion; primitive roots & indices; quadratic residues, Gauss lemma, quadratic reciprocity law; Fibonacci, Fermat & perfect numbers; sums of squares
2025–26
Question Paper Solutions Video
SEC 2 Credits
SES7362T
Vector Calculus
Differentiation of vectors: unit tangent, velocity & acceleration; gradient, directional derivative, tangent plane & normal; divergence & curl, solenoidal & irrotational vectors; line integrals, work done by force, surface integrals; Gauss's divergence theorem, Stokes' theorem, Green's theorem
2025–26 NEP
Question Paper Solutions Video
2023 to 2025 Annual Scheme
Question Paper Solutions Video

 Choose one DSE (Mechanics / Geometry / Operations Research) and one SEC (Vedic Mathematics).

DSE 6 Credits
MAT7103T
Mechanics
Equilibrium: Lami's theorem, triangle of forces, moments; friction, limiting equilibrium on inclined plane; catenary; virtual work; projectile motion, impact, conservation of momentum; SHM, Hooke's law, elastic strings; constrained motion on circle & cycloid, motion in resisting medium; fluid pressure: specific gravity, plane surfaces, centre of pressure
2024–25 Annual Scheme
Question Paper Solutions Video
2023–24 Annual Scheme
Question Paper Solutions Video
2022–23 Annual Scheme
Question Paper Solutions Video
DSE 6 Credits
MAT7104T
Geometry
Conics: eccentricity, foci, tracing; ellipse: tangent, normal, pole & polar, conjugate diameters, auxiliary & director circle; hyperbola: asymptotes, conjugate & rectangular hyperbola; polar equations of conics; 3D geometry: planes, skew lines, shortest distance; sphere, cone, cylinder; conicoids: tangent plane, diametral plane, principal planes & directions
2024–25 Annual Scheme
Question Paper Solutions Video
2023–24 Annual Scheme
Question Paper Solutions Video
2022–23 Annual Scheme
Question Paper Solutions Video
DSE 6 Credits
MAT7105T
Operations Research
LPP formulation, graphical method; simplex algorithm, artificial variables, two-phase & Big-M methods; duality: primal-dual relationships, economic interpretation; transportation problem: northwest-corner, least cost, Vogel's method; assignment problem: Hungarian method; game theory: two-person zero-sum games, mixed strategies
2024–25 Annual Scheme
Question Paper Solutions Video
2023–24 Annual Scheme
Question Paper Solutions Video
2022–23 Annual Scheme
Question Paper Solutions Video
SEC 2 Credits
SES7364T
Vedic Mathematics
Nikhilam & Urdhvatiryak multiplication, Pravartya division; factorisation of quadratic & cubic equations, HCF by Vedic method; Shunyam Samuchhye & Pravartya methods; quadratic, cubic & biquadratic equations; Vedic methods in differentiation, integration by Anshikbhinna; Sahayakbhinna, divisibility of large numbers, square roots & cube roots, Vedic geometry
2025–26
Question Paper Solutions Video
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CSIR NET — Mathematical Sciences

Council of Scientific & Industrial Research — National Eligibility Test  |  Conducted twice a year (June & December)

Previous year papers 2011–2025 · Part A B C · Real Analysis · Linear Algebra · Abstract Algebra · Complex Analysis · Topology · ODE · PDE · Numerical Analysis · Free PDF Download

YearSessionQuestion PaperSolutions
2025June Download Solutions
2024December (Held on 02 Mar 2025) Download Solutions
2024December (Held on 28 Feb 2025) Download Solutions
2024June Download Solutions
2023December Download Solutions
2023June Download Solutions
2022June (Held on 16 Sep 2022) Download Solutions
2021June (Held on 16 Feb 2021) Download Solutions
2020June (Held on 30 Nov 2020) Download Solutions
2020June (Held on 26 Nov 2020) Download Solutions
2019December (Assam) Download Solutions
2019December Download Solutions
2019June Download Solutions
2018December Download Solutions
2018June Download Solutions
2017December Download Solutions
2017June Download Solutions
2016December Download Solutions
2016June Download Solutions
2015December Download Solutions
2015June Download Solutions
2014December Download Solutions
2014June Download Solutions
2013December Download Solutions
2013June Download Solutions
2012December Download Solutions
2012June Download Solutions
2011December Download Solutions
2011June Download Solutions
Official CSIR NET Website NTA Previous Papers

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B.Sc. Mathematics — University of Rajasthan, Jaipur

University of Rajasthan (UOR)  |  NEP 2020  ·  Examination 2025-26 & Onwards  |  Semesters I–VI  ·  Programme UG0803

Previous year papers 2022–26 · Discrete Mathematics · Calculus · Abstract Algebra · Real Analysis · Complex Analysis · Mechanics · Free PDF Download

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UOR B.Sc. Mathematics — Official NEP Syllabus (UG0803)
University of Rajasthan, Jaipur  ·  Examination 2025-26 & Onwards  ·  Semesters I–VI  ·  NEP 2020 Scheme
Download Syllabus PDF
Source & Attribution: Previous year papers on this page are sourced from uoronline.com. All papers are the intellectual property of the University of Rajasthan, Jaipur and are shared here for educational purposes only with full credit to the original source. Contact us for removal requests.
MJR 6 Credits
UG0803-MAT-51T-101
Discrete Mathematics & Optimization Techniques-I
Relations, equivalence classes, partial order, lattices, Boolean algebra, propositional calculus, truth tables. Discrete functions, generating functions, recurrence relations, graph theory, planar graphs, trees, spanning trees. Linear programming, simplex algorithm, transportation & assignment problems.
2025–26NEP
Coming Soon Solutions
2024–25Annual
Coming Soon Solutions
2023–24Annual
Coming Soon Solutions
2022–23Annual
Coming Soon Solutions
MJR 6 Credits
UG0803-MAT-52T-102
Calculus
Taylor's & Maclaurin's theorems, power series, curvature, pedal equations. Partial differentiation, Euler's theorem, Lagrange's multipliers, envelopes, maxima & minima. Asymptotes, curve tracing (Cartesian, polar & parametric), Beta & Gamma functions. Double & triple integrals, Dirichlet's integral, rectification, area, volume & surface of solids of revolution.
2024–25 NEP
Question Paper Solutions Video
2023–24 NEP
Question Paper Solutions Video
2022–23 Annual Scheme
Question Paper Solutions Video
2021–22 Annual Scheme
Question Paper Solutions Video
MJR 4 Credits
UG0803-MAT-63T-201
Real Analysis-I & Differential Equations-I
Bounded sets, Bolzano-Weierstrass, Heine-Borel theorems, open & closed sets, compactness & connectedness. Real sequences: convergence, Cauchy sequences, continuous functions on closed intervals. Exact DEs, first-order higher-degree DEs, linear DEs with constant coefficients. Homogeneous linear DEs, second-order DEs, variation of parameters, undetermined coefficients.
2025–26NEP
Coming Soon Solutions
2024–25Annual
Coming Soon Solutions
2023–24Annual
Coming Soon Solutions
2022–23Annual
Coming Soon Solutions
Practical 2 Credits
UG0803-MAT-63P-202
Introduction to Scilab: A Mathematical Tool
Plotting graphs, complex number operations (Group A). Matrix operations, solving linear equations, root-finding (Group B). Solving LPPs and ODEs using Scilab built-in functions (Group C).
2025–26NEP
Coming Soon Solutions
MJR 4 Credits
UG0803-MAT-64T-203
Real Analysis-II & Numerical Analysis
Derivable functions, Darboux's & Rolle's theorems, multivariable functions: directional & total derivatives. Riemann integration, mean value theorems, fundamental theorem of calculus, bounded variations. Newton's forward/backward interpolation, Lagrange's formula, numerical differentiation. Trapezoidal, Simpson's, Gauss quadrature; Bisection, Newton-Raphson, Euler's methods for ODEs.
2025–26NEP
Coming Soon Solutions
2024–25Annual
Coming Soon Solutions
2023–24Annual
Coming Soon Solutions
2022–23Annual
Coming Soon Solutions
Practical 2 Credits
UG0803-MAT-64P-204
Introduction to C Programming: As Mathematical Tool
Fibonacci, factorial, GCD/LCM, prime numbers, mean & standard deviation (Group A). Numerical integration: Trapezoidal, Simpson's rules; difference tables (Group B). Bisection, Regula-Falsi, Newton-Raphson methods; Euler's & Runge-Kutta methods for IVPs (Group C).
2025–26NEP
Coming Soon Solutions
MJR 6 Credits
UG0803-MAT-75T-301
Abstract Algebra & Three Dimensional Geometry
Groups: binary operations, order, subgroups, permutation groups, cyclic groups, cosets, Lagrange's theorem. Morphism, Cayley's theorem, normal subgroups, quotient groups, homomorphism theorems. Rings, subrings, integral domains, fields, characteristics. Sphere, cone, cylinder: equations, tangent planes, enveloping surfaces, right circular forms.
2025–26NEP
Coming Soon Solutions
2024–25Annual
Coming Soon Solutions
2023–24Annual
Coming Soon Solutions
2022–23Annual
Coming Soon Solutions
MJR 6 Credits
UG0803-MAT-76T-302
Complex Analysis & Mechanics
Analytic functions, Cauchy-Riemann equations, harmonic functions, complex integration, Cauchy integral theorem & formula. Taylor's & Laurent's theorems, singularities, meromorphic & entire functions, Cauchy's residue theorem. Velocity & acceleration (radial/transverse, tangential/normal), motion in resisting media, motion on smooth curves. Equilibrium of coplanar forces, moments, friction, virtual work, catenary.
2025–26NEP
Coming Soon Solutions
2024–25Annual
Coming Soon Solutions
2023–24Annual
Coming Soon Solutions
2022–23Annual
Coming Soon Solutions

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GATE — Mathematics (MA)

Graduate Aptitude Test in Engineering — Mathematics  |  Conducted annually (February)

Previous year papers 2007–2026 · Linear Algebra · Real Analysis · Complex Analysis · ODE · PDE · Functional Analysis · Numerical Methods · Probability & Statistics · Free PDF Download

YearSetQuestion PaperSolutions
2026MA Download Solutions
2025MA Download Solutions
2024MA Download Solutions
2023MA Download Solutions
2022MA Download Solutions
2021MA Download Solutions
2020MA Download Solutions
2019MA Download Solutions
2018MA Download Solutions
2017MA Download Solutions
2016MA Download Solutions
2015MA Download Solutions
2014MA Download Solutions
2013MA Download Solutions
2012MA Download Solutions
2011MA Download Solutions
2010MA Download Solutions
2009MA Download Solutions
2008MA Download Solutions
2007MA Download Solutions
Official GATE Website GATE Old Papers

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IIT JAM — Mathematics (MA)

Joint Admission Test for M.Sc. — Mathematics  |  Conducted annually (February)

Previous year papers 2005–2026 · Real Analysis · Linear Algebra · Abstract Algebra · Vector Calculus · Sequences & Series · Differential Equations · Free PDF Download

YearPaperQuestion PaperSolutions
2026MA Download Solutions
2025MA Download Solutions
2024MA Download Solutions
2023MA Download Solutions
2022MA Download Solutions
2021MA Download Solutions
2020MA Download Solutions
2019MA Download Solutions
2018MA Download Solutions
2017MA Download Solutions
2016MA Download Solutions
2015MA Download Solutions
2014MA Download Solutions
2013MA Download Solutions
2012MA Download Solutions
2011MA Download Solutions
2010MA Download Solutions
2009MA Download Solutions
2008MA Download Solutions
2007MA Download Solutions
2006MA Download Solutions
2005MA Download Solutions
Official IIT JAM Website JAM Old Papers

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Frequently Asked Questions

You can download MLSU previous year question papers PDF free from this page. Papers are available for BSc Mathematics 1st year, 2nd year, and 3rd year under both NEP 2023-24 and Annual Scheme (Semesters I–VI), covering Calculus (MAT5000T), Abstract Algebra (MAT5001T), Real Analysis (MAT6003T), Differential Equations (MAT6002T), and Operations Research (MAT7105T). Written and video solutions are also provided.

MLSU BSc maths old question papers for Mohanlal Sukhadia University, Udaipur are available on this page. Both NEP scheme (Semesters I–VI) and Annual Scheme papers from 2022-23 onwards are included, with free PDF download links and solutions.

UOR (University of Rajasthan) BSc Mathematics old question papers for the NEP 2020 scheme (Programme UG0803) are available on this page. Papers cover Semesters I–VI including Calculus, Discrete Mathematics, Abstract Algebra, Real Analysis, and Complex Analysis, with PDF download links.

CSIR NET Mathematical Sciences previous year papers PDF from 2011 to 2025 (June and December sessions) are available for free download on this page. Written solutions and video solutions by Dr. Praveendra Singh are also being added.

GATE Mathematics (MA) previous year question papers PDF from 2007 to 2026 are available for free download on this page. Topics include Linear Algebra, Real Analysis, Complex Analysis, ODE, PDE, Functional Analysis, and Probability & Statistics.

IIT JAM Mathematics (MA) previous year papers PDF from 2005 to 2026 are available on this page with free download links. Solutions for several years are also provided, covering Real Analysis, Linear Algebra, Abstract Algebra, Vector Calculus, and Differential Equations.

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