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Exclusive Test Package FOR IIT-JAM

  • The objective of Test Series is to provide aspirant the smartest way to prepare for the exam with the newest trends in Entrance Exam Preparation. Our Online test Series is a great revision tool that provides you an opportunity to assess your preparation and strengthen the weak areas to outperform in the actual examination. This Test Package Contained Improve Your Skill By Joining Gurukulam Institute of Mathematic Test Packages FOR IIT-JAM

Course Based (TP) Course Based Test Package (CBTP) is a great revision tool that provides you an opportunity to assess your preparation and strengthen the weak areas to outperform in the actual examination. This Test package consisting of 30 Question Papers


  • 20 Performance Review Test(PRT)
  • 9-Module Wise Test(MWT)
  • 4-Exam Pattern Test(EPT)
  • Performance Review Package (PRP)

    The Performance Review Test that provides you an opportunity to assess your preparation in each section of your whole course. There will be 20 Test papers.

    Real Analysis
    TEST ID Syllabus
    PRT-01 Interior points, limit points, open sets, closed sets, Bounded sets, connected sets, compact sets, completeness of R
    PRT-02 Power series (of real variable),Taylor’s series, Radius and interval of convergence, term-wise differentiation and integration of power series.
    Sequences and Series of Real Numbers:
    TEST ID Syllabus
    PRT-03 Sequence of real numbers, convergence of sequences, Cauchy sequences, subsequences, Bolzano-Weierstrass theorem. bounded and monotone sequences, convergence criteria for sequences of real numbers,
    PRT-04 Series of real numbers, absolute convergence, Tests of convergence for series of positive terms – comparison test, ratio test, root test; Leibniz test for convergence of alternating series
    Functions of One Real Variable:
    TEST ID Syllabus
    PRT-05 Limit of functions, Continuity of functions, Intermediate value property
    PRT-06 Differentiation of functions, Rolle’s Theorem, mean value theorem, L'Hospital rule, Taylor's theorem, Maxima and Minima
    Functions of Two or Three Real Variables:
    TEST ID Syllabus
    PRT-07 Limit of functions, Continuity of functions, Partial derivatives of functions
    PRT-08 Differentiability of functions, Maxima and Minima of functions
    Integral Calculus:
    TEST ID Syllabus
    PRT-09: Integration as the inverse process of differentiation, Definite integrals and their properties, Fundamental theorem of calculus. Change of order of integration
    PRT-10 Double and triple integrals, Calculating surface areas and volumes using double integrals, Calculating volumes using triple integrals
    Differential Equations:
    TEST ID Syllabus
    PRT-11: Ordinary differential equations of the first order of the formy'=f(x,y), Exact differential equations, Integrating factor, orthogonal trajectories, homogeneous differential equations, Variable separable equations, Bernoulli’s equation
    PRT-12 Linear differential equations of second order with constant coefficients, Method of variation of parameters, Cauchy-Euler equation
    Vector Calculus:
    TEST ID Syllabus
    PRT-13 Scalar and vector fields, Gradient, Divergence, Curl, line integrals
    PRT-14 Surface integrals, Green, Stokes and Gauss theorems.
    Group Theory:
    TEST ID Syllabus
    PRT-15 Groups, Subgroups, Abelian groups, Non-Abelian groups
    PRT-16 Cyclic groups, Permutation groups
    PRT-17 Normal subgroups, Lagrange's Theorem for finite groups, Group homomorphisms and Basic concepts of quotient groups.
    Linear Algebra:
    TEST ID Syllabus
    PRT-18 Finite dimensional vector spaces, Linear independence of vectors, Basis, dimension
    PRT-19 Linear transformations, Matrix representation, Range space, Nullspace, rank-nullity theorem. Rank and inverse of a matrix, determinant
    PRT-20 Solutions of systems of linear equations, consistency conditions, Eigen values and eigenvectors for matrices, Cayley-Hamilton theorem

    Module Wise Test (MWT)


    The Module Wise Test (MWT) that provides you an opportunity to assess your preparation in each Subject. There will be 9-Test papers is great revision tool that provides you an opportunity to assess your preparation and strengthen the weak areas to outperform in the actual examination.


  • Real Analysis:

  • Sequences and Series of Real Numbers:

  • Functions of One Real Variable:

  • Functions of Two or Three Real Variables:

  • Integral Calculus:

  • Differential Equations:

  • Vector Calculus:

  • Group Theory:

  • Linear Algebra:
  • Real Analysis
    TEST ID Syllabus
    MWT-01 Real Analysis: Interior points, limit points, open sets, closed sets, Bounded sets, connected sets, compact sets, completeness of R.Power series (of real variable),Taylor’s series, Radius and interval of convergence, term-wise differentiation and integration of power series
    Real Analysis
    TEST ID Syllabus
    MWT-01 Real Analysis: Interior points, limit points, open sets, closed sets, Bounded sets, connected sets, compact sets, completeness of R.Power series (of real variable),Taylor’s series, Radius and interval of convergence, term-wise differentiation and integration of power series
    Real Analysis
    TEST ID Syllabus
    MWT-01 Real Analysis: Interior points, limit points, open sets, closed sets, Bounded sets, connected sets, compact sets, completeness of R. Power series (of real variable),Taylor’s series, Radius and interval of convergence, term-wise differentiation and integration of power series
    Sequences and Series of Real Numbers:
    TEST ID Syllabus
    MWT-02 Sequence of real numbers, Series of real numbers, absolute convergence, Convergence of alternating series.
    Functions of One Real Variable:
    TEST ID Syllabus
    MWT-03 Limit of functions, Continuity of functions, Intermediate value property, Differentiation of functions, Rolle’s Theorem, mean value theorem, L'Hospital rule, Taylor's theorem, Maxima and Minima.
    Functions of Two or Three Real Variables:
    TEST ID Syllabus
    MWT-04 Limit of functions, Continuity of functions, Partial derivatives of functions, Differentiability of functions, Maxima and Minima of functions
    Integral Calculus:
    TEST ID Syllabus
    MWT-05 Integration as the inverse process of differentiation, Definite integrals and their properties, Fundamental theorem of calculus. Change of order of integration, Double and triple integrals, Calculating surface areas and volumes using double integrals, Calculating volumes using triple integrals.
    Differential Equations:
    TEST ID Syllabus
    MWT-06 Ordinary differential equations of the first order of the formy'=f(x,y), Exact differential equations, Integrating factor, orthogonal trajectories, homogeneous differential equations, Variable separable equations,Bernoulli’s equation, Linear differential equations of second order with constant coefficients, Method of variation of parameters, Cauchy-Euler equation.
    Vector Calculus:
    TEST ID Syllabus
    MWT-07 Scalar and vector fields, Gradient, Divergence, Curl, line integrals, Surface integrals, Green, Stokes and Gauss theorems.
    Group Theory:
    TEST ID Syllabus
    MWT-08 Group Theory: Groups, Subgroups, Abelian groups, Non-Abelian groups, Cyclic groups, Permutation groups, Normal subgroups, Lagrange's Theorem for finite groups, Group homomorphisms and Basic concepts of quotient groups.
    Linear Algebra:
    TEST ID Syllabus
    MWT-09 Finite dimensional vector spaces, Linear independence of vectors, Basis, dimension, Linear transformations, Matrix representation, Range space, Nullspace, rank-nullity theorem. Rank and inverse of a matrix, determinant, Solutions of systems of linear equations, consistency conditions, Eigen values and eigenvectors for matrices, Cayley-Hamilton theorem

    Exam Pattern Test Package (EPTP)

    IIT-JAM Exam is on its way. You have with plenty of study books, and Solved previous years papers, got all expert references. Still you might be confused to figure out what to study and what not! In such strenuous situations, you need to analysis your performance and wish to know about the important topics and questions that have higher weightage and are more likely to be asked in the exam.Exam Pattern Test Papers & Practice Sets fulfill all your requirements!


    TEST ID Section-A Section-B Section-C
    EPT-01 30- Multiple Choice Questions (MCQ) 10-Multiple Select Questions (MSQ) 20-Numerical Answer Type (NAT) questions
    EPT-02 30- Multiple Choice Questions (MCQ) 10-Multiple Select Questions (MSQ) 20-Numerical Answer Type (NAT) questions
    EPT-03 30- Multiple Choice Questions (MCQ) 10-Multiple Select Questions (MSQ) 20-Numerical Answer Type (NAT) questions
    EPT-04 30- Multiple Choice Questions (MCQ) 10-Multiple Select Questions (MSQ) 20-Numerical Answer Type (NAT) questions

    Section Based Test Package (CBTP) is an opportunity to assess your preparation and strengthen the weak areas to outperform in the actual examination. This Test package consisting of 20 Question Papers

    Section Based Test Package (CBTP)

    Section Based Test Package (CBTP) is an opportunity to assess your preparation and strengthen the weak areas to outperform in the actual examination. This Test package consisting of 20 Question Papers

    Real Analysis
    TEST ID Syllabus
    PRT-01 Interior points, limit points, open sets, closed sets, Bounded sets, connected sets, compact sets, completeness of R
    PRT-02 Power series (of real variable),Taylor’s series, Radius and interval of convergence, term-wise differentiation and integration of power series.
    Sequences and Series of Real Numbers:
    TEST ID Syllabus
    PRT-03 Sequence of real numbers, convergence of sequences, Cauchy sequences, subsequences, Bolzano-Weierstrass theorem. bounded and monotone sequences, convergence criteria for sequences of real numbers,
    PRT-04 Series of real numbers, absolute convergence, Tests of convergence for series of positive terms – comparison test, ratio test, root test; Leibniz test for convergence of alternating series
    Functions of One Real Variable:
    TEST ID Syllabus
    PRT-05 Limit of functions, Continuity of functions, Intermediate value property
    PRT-06 Differentiation of functions, Rolle’s Theorem, mean value theorem, L'Hospital rule, Taylor's theorem, Maxima and Minima
    Functions of Two or Three Real Variables:
    TEST ID Syllabus
    PRT-07 Limit of functions, Continuity of functions, Partial derivatives of functions
    PRT-08 Differentiability of functions, Maxima and Minima of functions
    Integral Calculus:
    TEST ID Syllabus
    PRT-09: Integration as the inverse process of differentiation, Definite integrals and their properties, Fundamental theorem of calculus. Change of order of integration
    PRT-10 Double and triple integrals, Calculating surface areas and volumes using double integrals, Calculating volumes using triple integrals
    Differential Equations:
    TEST ID Syllabus
    PRT-11: Ordinary differential equations of the first order of the formy'=f(x,y), Exact differential equations, Integrating factor, orthogonal trajectories, homogeneous differential equations, Variable separable equations, Bernoulli’s equation
    PRT-12 Linear differential equations of second order with constant coefficients, Method of variation of parameters, Cauchy-Euler equation
    Vector Calculus:
    TEST ID Syllabus
    PRT-13 Scalar and vector fields, Gradient, Divergence, Curl, line integrals
    PRT-14 Surface integrals, Green, Stokes and Gauss theorems.
    Group Theory:
    TEST ID Syllabus
    PRT-15 Groups, Subgroups, Abelian groups, Non-Abelian groups
    PRT-16 Cyclic groups, Permutation groups
    PRT-17 Normal subgroups, Lagrange's Theorem for finite groups, Group homomorphisms and Basic concepts of quotient groups.
    Linear Algebra:
    TEST ID Syllabus
    PRT-18 Finite dimensional vector spaces, Linear independence of vectors, Basis, dimension
    PRT-19 Linear transformations, Matrix representation, Range space, Nullspace, rank-nullity theorem. Rank and inverse of a matrix, determinant
    PRT-20 Solutions of systems of linear equations, consistency conditions, Eigen values and eigenvectors for matrices, Cayley-Hamilton theorem

    The Module Wise Test (MWT) that provides you an opportunity to assess your preparation in each Subject. There will be 9-Test papers is great revision tool that provides you an opportunity to assess your preparation and strengthen the weak areas to outperform in the actual examination.


  • Real Analysis:

  • Sequences and Series of Real Numbers:

  • Functions of One Real Variable:

  • Functions of Two or Three Real Variables:

  • Integral Calculus:

  • Differential Equations:

  • Vector Calculus:

  • Group Theory:

  • Linear Algebra:
  • Real Analysis
    TEST ID Syllabus
    MWT-01 Real Analysis: Interior points, limit points, open sets, closed sets, Bounded sets, connected sets, compact sets, completeness of R.Power series (of real variable),Taylor’s series, Radius and interval of convergence, term-wise differentiation and integration of power series
    Real Analysis
    TEST ID Syllabus
    MWT-01 Real Analysis: Interior points, limit points, open sets, closed sets, Bounded sets, connected sets, compact sets, completeness of R.Power series (of real variable),Taylor’s series, Radius and interval of convergence, term-wise differentiation and integration of power series
    Real Analysis
    TEST ID Syllabus
    MWT-01 Real Analysis: Interior points, limit points, open sets, closed sets, Bounded sets, connected sets, compact sets, completeness of R. Power series (of real variable),Taylor’s series, Radius and interval of convergence, term-wise differentiation and integration of power series
    Sequences and Series of Real Numbers:
    TEST ID Syllabus
    MWT-02 Sequence of real numbers, Series of real numbers, absolute convergence, Convergence of alternating series.
    Functions of One Real Variable:
    TEST ID Syllabus
    MWT-03 Limit of functions, Continuity of functions, Intermediate value property, Differentiation of functions, Rolle’s Theorem, mean value theorem, L'Hospital rule, Taylor's theorem, Maxima and Minima.
    Functions of Two or Three Real Variables:
    TEST ID Syllabus
    MWT-04 Limit of functions, Continuity of functions, Partial derivatives of functions, Differentiability of functions, Maxima and Minima of functions
    Integral Calculus:
    TEST ID Syllabus
    MWT-05 Integration as the inverse process of differentiation, Definite integrals and their properties, Fundamental theorem of calculus. Change of order of integration, Double and triple integrals, Calculating surface areas and volumes using double integrals, Calculating volumes using triple integrals.
    Differential Equations:
    TEST ID Syllabus
    MWT-06 Ordinary differential equations of the first order of the formy'=f(x,y), Exact differential equations, Integrating factor, orthogonal trajectories, homogeneous differential equations, Variable separable equations,Bernoulli’s equation, Linear differential equations of second order with constant coefficients, Method of variation of parameters, Cauchy-Euler equation.
    Vector Calculus:
    TEST ID Syllabus
    MWT-07 Scalar and vector fields, Gradient, Divergence, Curl, line integrals, Surface integrals, Green, Stokes and Gauss theorems.
    Group Theory:
    TEST ID Syllabus
    MWT-08 Group Theory: Groups, Subgroups, Abelian groups, Non-Abelian groups, Cyclic groups, Permutation groups, Normal subgroups, Lagrange's Theorem for finite groups, Group homomorphisms and Basic concepts of quotient groups.
    Linear Algebra:
    TEST ID Syllabus
    MWT-09 Finite dimensional vector spaces, Linear independence of vectors, Basis, dimension, Linear transformations, Matrix representation, Range space, Nullspace, rank-nullity theorem. Rank and inverse of a matrix, determinant, Solutions of systems of linear equations, consistency conditions, Eigen values and eigenvectors for matrices, Cayley-Hamilton theorem

    Exam Pattern Test Package (EPTP)

    IIT-JAM Exam is on its way. You have with plenty of study books, and Solved previous years papers, got all expert references. Still you might be confused to figure out what to study and what not! In such strenuous situations, you need to analysis your performance and wish to know about the important topics and questions that have higher weightage and are more likely to be asked in the exam.Exam Pattern Test Papers & Practice Sets fulfill all your requirements!


    TEST ID Section-A Section-B Section-C
    EPT-01 30- Multiple Choice Questions (MCQ) 10-Multiple Select Questions (MSQ) 20-Numerical Answer Type (NAT) questions
    EPT-02 30- Multiple Choice Questions (MCQ) 10-Multiple Select Questions (MSQ) 20-Numerical Answer Type (NAT) questions
    EPT-03 30- Multiple Choice Questions (MCQ) 10-Multiple Select Questions (MSQ) 20-Numerical Answer Type (NAT) questions
    EPT-04 30- Multiple Choice Questions (MCQ) 10-Multiple Select Questions (MSQ) 20-Numerical Answer Type (NAT) questions

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