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TNPSC CSSE Free Mock Test
Crack the TNPSC CSSE Mock Test 2026 with the help of an online Test series or a free mock test. Every sample paper in the TNPSC CSSE Exam has a designated weight, so do not miss out on any paper. Prepare for the TNPSC CSSE mock test and check your test scores.
TNPSC CSSE Syllabus 2026, Exam Pattern
TNPSC CSSE Syllabus 2026, Exam Pattern, Exam Date 2026
Detail Information about TNPSC CSSE has published notification 2026 for the recruitment of Assistant Statistical Investigator, Computor, Statistical Compiler vacancies. Those Candidates who are Interested to the following vacancy and completed all Eligibility Criteria can read the Notification & Apply Online. In this page we provide the Complete Syllabus of this Recruitment with Latest Update Exam Pattern and the Exam Date also.
TNPSC CSSE Recruitment 2026 - Overview
TNPSC CSSE Syllabus 2026
Paper 1 Syllabus
Mathematics/Mathematics with Statistics
UNIT : Algebra and Trigonometry :
1. Theory of Equations: Polynomial equations; Imaginary and irrational roots; Symmetric functions of roots in terms of coefficient; Sum of rth powers of roots; Reciprocal equations; Transformations of equations.
2. Descrates’ rule of signs: Approximate solutions of roots of polynomials by Newton – Raphson Method – Horner’s method; Cardan’s method of solution of a cubic polynomial.
3. Summation of Series: Binomial, Exponential and Logarithmic series theorems; Summation of finite series using method of differences – simple problems.
4. Expansions of sin x, cos x, tan x in terms of x; sin nx, cos nx, tan nx, sin nx, cos nx , tan nx, hyperbolic and inverse hyperbolic functions – simple problems.
UNIT II: Calculus, Coordinate Geometry Of 2 Dimensions And Differential Geometry:
1. nth derivative; Leibnitz’s theorem and its applications; Partial differentiation. Total differentials; Jacobians; Maxima and Minima of functions of 2 and 3 independent variables – necessary and sufficient conditions; Lagrange’s method – simple problems on these concepts.
2. Methods of integration; Properties of definite integrals; Reduction formulae – Simple problems.
3. Conics – Parabola, ellipse, hyperbola and rectangular hyperbola – pole, polar, co-normal points, con-cyclic points, conjugate diameters, asymptotes and conjugate hyperbola.
4. Curvature; radius of curvature in Cartesian coordinates; polar coordinates; equation of a straight line, circle and conic; radius of curvature in polar coordinates; p-r equations; evolutes; envelopes.
5. Methods of finding asymptotes of rational algebraic curves with special cases. Beta and Gamma functions, properties and simple problems. Double Integrals; change of order of integration; triple integrals; applications to area, surface are volume.
UNIT III : Differential Equations and Laplace Transforms :
1. First order but of higher degree equations – solvable for p, solvable for x, solvable for y, clairaut’s form – simple problems.
2. Second order differential equations with constant coefficients with particular integrals for eax, xm , eax sin mx, eax cos mx
3. Method of variation of parameters; Total differential equations, simple problems.
UNIT IV : Vector Calculus, Fourier Series and Fourier Transforms :
1. Vector Differentiation: Gradient, divergence, curl, directional derivative, unit normal to a surface.
2. Vector integration: line, surface and volume integrals; theorems of Gauss, Stokes and Green – simple problems.
3. Fourier Series: Expansions of periodic function of period 2π ; expansion of even and odd functions; half range series.
4. Fourier Transform: Infinite Fourier transform (Complex form, no derivation); sine and cosine transforms; simple properties of Fourier Transforms; Convolution theorem; Parseval’s identity.
UNIT V : Algebraic Structures :
1. Groups: Subgroups, cyclic groups and properties of cyclic groups – simple problems; Lagrange’s Theorem; Normal subgroups; Homomorphism; Automorphism ; Cayley’s Theorem, Permutation groups.
2. Rings: Definition and examples, Integral domain, homomorphism of rings, Ideals and quotient Rings, Prime ideal and maximum ideal; the field and quotients of an integral domain, Euclidean Rings.
3. Vector Spaces: Definition and examples, linear dependence and independence, dual spaces, inner product spaces.
4. Linear Transformations: Algebra of linear transformations, characteristic roots, matrices, canonical forms, triangular forms.
UNIT VI : Real Analysis :
1. Sets and Functions: Sets and elements; Operations on sets; functions; real valued functions; equivalence; countability; real numbers; least upper bounds.
2. Sequences of Real Numbers: Definition of a sequence and subsequence; limit of a sequence; convergent sequences; divergent sequences; bounded sequences; monotone sequences; operations on convergent sequences; operations on divergent sequences; limit superior and limit inferior; Cauchy sequences.
3. Series of Real Numbers: Convergence and divergence; series with non-negative numbers; alternating series; conditional convergence and absolute convergence; tests for absolute convergence; series whose terms form a non-increasing sequence; the class I 2
4. Limits and metric spaces: Limit of a function on a real line; metric spaces; limits in metric spaces.
UNIT VII Complex Analysis :
1. Complex numbers: Point at infinity , Stereographic projection
2. Analytic functions: Functions of a complex variable , mappings, limits, theorems of limits, continuity, derivatives, differentiation formula, Cauchy-Riemann equations, sufficient conditions Cauchy-Riemann equations in polar form, analytic functions, harmonic functions.
3. Mappings by elementary functions: linear functions, the function 1/z, linear fractional transformations , the functions w=zn , w=ez , special linear fractional transformations.
4. Integrals: definite integrals, contours , line integrals, Cauchy-Goursat theorem, Cauchy integral formula, derivatives of analytic functions, maximum moduli of functions.
UNIT VIII Dynamics and Statics :
1. DYNAMICS: kinematics of a particle, velocity, acceleration, relative velocity, angular velocity, Newton’s laws of motion, equation of motion, rectilinear motion under constant acceleration, simple harmonic motion.
2. Projectiles : Time of flight, horizontal range, range in an inclined plane. Impulse and impulsive motion, collision of two smooth spheres, direct and oblique impact-simple problems.
3. Central forces : Central orbit as plane curve, p-r equation of a central orbit, finding law of force and speed for a given central orbit, finding the central orbit for a given law of force.
4. Moment of inertia : Moment of inertia of simple bodies, theorems of parallel and perpendicular axes, moment of inertia of triangular lamina, circular lamina, circular ring, right circular cone, sphere (hollow and solid).
UNIT IX Operations Research :
1. Linear programming – formulation – graphical solution – simplex method
2. Big-M method – Two-phase method-duality- primal-dual relation – dual simplex method – revised simplex method – Sensitivity analysis. Transportation problem – assignment problem.
3. Sequencing problem – n jobs through 2 machines – n jobs through 3 machines – two jobs through m machines – n jobs through m machines.
4. PERT and CPM: project network diagram – Critical path (crashing excluded) – PERT computations.
UNIT IX Mathematical Statistics :
1. Statistics – Definition – functions – applications – complete enumeration – sampling methods – measures of central tendency – measures of dispersion – skewness- kurtosis.
2. Sample space – Events, Definition of probability (Classical, Statistical & Axiomatic ) – Addition and multiplication laws of probability – Independence – Conditional probability – Bayes theorem – simple problems.
3. Random Variables (Discrete and continuous), Distribution function – Expected values & moments – Moment generating function – probability generating function – Examples. Characteristic function – Uniqueness and inversion theorems – Cumulants, Chebychev’s inequality – Simple problems.
Statistics (UG Standard)
UNIT I : Uses, Scope and limitation of Statistics, Collection, Classification and Tabulation of data, Diagramatic and Graphical representation, Measures of location, dispersion, Skewness and Kurtosis – Correlation and regression – Curve Fitting – Linear and Quadratic equation by the method of least squares.
UNIT II : Probability – Addition, Multiplication and Baye’s Theorems and their application. Tchebychev’s inequality. Random variables – Univariate and Bivariate – Probability distributions – Marginal and conditional distributions – Expectations – Moments and cumulants generating functions.
UNIT III : Probability distributions – Binomial, Poisson, Geometric and Hypergeometric. Continuous distributions – Uniform, exponential and normal. Sampling distributions and standard error, student’s ‘t’, Chi-square and F statistic – distributions and their applications.
UNIT IV : Estimation – Point estimation – properties of estimates Neyman – Fisher Factorization theorem(without proof) Cramer – Rao inequality, Rao – Blackwell theorem – MLE and method of Moments estimation – Interval estimation – for population mean and variance based on small and large samples.
UNIT V : Tests of Hypothesis – Null and Alternative – Types of errors – Power of test, Neyman – Pearson lemma, UMP and Likelihood ratio tests, Test procedures for large and small samples – Independence of attributes, Chi-square test – Goodness of fit
UNIT VI : Simple random sample – stratified, systematic, Cluster (Single stage) Estimation of mean and variance in SKS – Sample Survey – Organisation – CSO and NSSO – Sampling and Non-Sampling errors. Analysis of Variance – Principles of design CRD, RBD and LSD – Factorial experiments 22 , 23 and 3 2 (Without confounding) Missing plot techniques.
UNIT VII : Concept of SQC – Control Charts – X, R, p and charts Acceptance sampling plan – single and double – OC curves Attributes and Variables plan. OR Models – Linear Programming problems – Simplex method Dual – Primal, Assignment problems, Net work – CPM and PERT
UNIT VIII : Time series – Different components – Trend and Seasonal Variations – Determination and elimination
UNIT IX : Index Numbers – Construction and uses – Different kinds of simple and weighted index numbers – Reversal tests – construction and use of cost of living index numbers – Birth and death rates – Crude and standard death rates, Fertility rates – Life table construction and uses.
UNIT X : Statistical Computing using Excel – Understanding on the usage of Statistical Packages including SPSS, MINITAB and SAS.
PAPER II Syllabus
General Studies :
1. General Science
2. Current Events
3. Indian Economy
4. Geography
5. History and culture of India
6. Indian Polity
7. Indian National Movement.
Aptitude and Mental Ability :
1. Graphs
2. Highest common factor, Lowest common factor
3. Compound Interest
4. Area
5. Volume
6. Time
7. Diagrammatic sequences
8. Decision making and problem-solving.
TNPSC CSSE Exam Pattern 2026
Exam Date : Notified Soon
TNPSC CSSE Recruitment 2026 - Overview
| Organization Name | Tamil Nadu Public Service Commission |
| Category | Combined Statistical Subordinate Services Examination |
| Post Name | Assistant Statistical Investigator, Computor, Statistical Compiler |
| Total Vacancies | Notified Soon |
| Category | Recruitment |
| Job Location | Tamil Nadu |
| Official Website | www.tnpsc.gov.in |
TNPSC CSSE Syllabus 2026
Paper 1 Syllabus
Mathematics/Mathematics with Statistics
UNIT : Algebra and Trigonometry :
1. Theory of Equations: Polynomial equations; Imaginary and irrational roots; Symmetric functions of roots in terms of coefficient; Sum of rth powers of roots; Reciprocal equations; Transformations of equations.
2. Descrates’ rule of signs: Approximate solutions of roots of polynomials by Newton – Raphson Method – Horner’s method; Cardan’s method of solution of a cubic polynomial.
3. Summation of Series: Binomial, Exponential and Logarithmic series theorems; Summation of finite series using method of differences – simple problems.
4. Expansions of sin x, cos x, tan x in terms of x; sin nx, cos nx, tan nx, sin nx, cos nx , tan nx, hyperbolic and inverse hyperbolic functions – simple problems.
UNIT II: Calculus, Coordinate Geometry Of 2 Dimensions And Differential Geometry:
1. nth derivative; Leibnitz’s theorem and its applications; Partial differentiation. Total differentials; Jacobians; Maxima and Minima of functions of 2 and 3 independent variables – necessary and sufficient conditions; Lagrange’s method – simple problems on these concepts.
2. Methods of integration; Properties of definite integrals; Reduction formulae – Simple problems.
3. Conics – Parabola, ellipse, hyperbola and rectangular hyperbola – pole, polar, co-normal points, con-cyclic points, conjugate diameters, asymptotes and conjugate hyperbola.
4. Curvature; radius of curvature in Cartesian coordinates; polar coordinates; equation of a straight line, circle and conic; radius of curvature in polar coordinates; p-r equations; evolutes; envelopes.
5. Methods of finding asymptotes of rational algebraic curves with special cases. Beta and Gamma functions, properties and simple problems. Double Integrals; change of order of integration; triple integrals; applications to area, surface are volume.
UNIT III : Differential Equations and Laplace Transforms :
1. First order but of higher degree equations – solvable for p, solvable for x, solvable for y, clairaut’s form – simple problems.
2. Second order differential equations with constant coefficients with particular integrals for eax, xm , eax sin mx, eax cos mx
3. Method of variation of parameters; Total differential equations, simple problems.
UNIT IV : Vector Calculus, Fourier Series and Fourier Transforms :
1. Vector Differentiation: Gradient, divergence, curl, directional derivative, unit normal to a surface.
2. Vector integration: line, surface and volume integrals; theorems of Gauss, Stokes and Green – simple problems.
3. Fourier Series: Expansions of periodic function of period 2π ; expansion of even and odd functions; half range series.
4. Fourier Transform: Infinite Fourier transform (Complex form, no derivation); sine and cosine transforms; simple properties of Fourier Transforms; Convolution theorem; Parseval’s identity.
UNIT V : Algebraic Structures :
1. Groups: Subgroups, cyclic groups and properties of cyclic groups – simple problems; Lagrange’s Theorem; Normal subgroups; Homomorphism; Automorphism ; Cayley’s Theorem, Permutation groups.
2. Rings: Definition and examples, Integral domain, homomorphism of rings, Ideals and quotient Rings, Prime ideal and maximum ideal; the field and quotients of an integral domain, Euclidean Rings.
3. Vector Spaces: Definition and examples, linear dependence and independence, dual spaces, inner product spaces.
4. Linear Transformations: Algebra of linear transformations, characteristic roots, matrices, canonical forms, triangular forms.
UNIT VI : Real Analysis :
1. Sets and Functions: Sets and elements; Operations on sets; functions; real valued functions; equivalence; countability; real numbers; least upper bounds.
2. Sequences of Real Numbers: Definition of a sequence and subsequence; limit of a sequence; convergent sequences; divergent sequences; bounded sequences; monotone sequences; operations on convergent sequences; operations on divergent sequences; limit superior and limit inferior; Cauchy sequences.
3. Series of Real Numbers: Convergence and divergence; series with non-negative numbers; alternating series; conditional convergence and absolute convergence; tests for absolute convergence; series whose terms form a non-increasing sequence; the class I 2
4. Limits and metric spaces: Limit of a function on a real line; metric spaces; limits in metric spaces.
UNIT VII Complex Analysis :
1. Complex numbers: Point at infinity , Stereographic projection
2. Analytic functions: Functions of a complex variable , mappings, limits, theorems of limits, continuity, derivatives, differentiation formula, Cauchy-Riemann equations, sufficient conditions Cauchy-Riemann equations in polar form, analytic functions, harmonic functions.
3. Mappings by elementary functions: linear functions, the function 1/z, linear fractional transformations , the functions w=zn , w=ez , special linear fractional transformations.
4. Integrals: definite integrals, contours , line integrals, Cauchy-Goursat theorem, Cauchy integral formula, derivatives of analytic functions, maximum moduli of functions.
UNIT VIII Dynamics and Statics :
1. DYNAMICS: kinematics of a particle, velocity, acceleration, relative velocity, angular velocity, Newton’s laws of motion, equation of motion, rectilinear motion under constant acceleration, simple harmonic motion.
2. Projectiles : Time of flight, horizontal range, range in an inclined plane. Impulse and impulsive motion, collision of two smooth spheres, direct and oblique impact-simple problems.
3. Central forces : Central orbit as plane curve, p-r equation of a central orbit, finding law of force and speed for a given central orbit, finding the central orbit for a given law of force.
4. Moment of inertia : Moment of inertia of simple bodies, theorems of parallel and perpendicular axes, moment of inertia of triangular lamina, circular lamina, circular ring, right circular cone, sphere (hollow and solid).
UNIT IX Operations Research :
1. Linear programming – formulation – graphical solution – simplex method
2. Big-M method – Two-phase method-duality- primal-dual relation – dual simplex method – revised simplex method – Sensitivity analysis. Transportation problem – assignment problem.
3. Sequencing problem – n jobs through 2 machines – n jobs through 3 machines – two jobs through m machines – n jobs through m machines.
4. PERT and CPM: project network diagram – Critical path (crashing excluded) – PERT computations.
UNIT IX Mathematical Statistics :
1. Statistics – Definition – functions – applications – complete enumeration – sampling methods – measures of central tendency – measures of dispersion – skewness- kurtosis.
2. Sample space – Events, Definition of probability (Classical, Statistical & Axiomatic ) – Addition and multiplication laws of probability – Independence – Conditional probability – Bayes theorem – simple problems.
3. Random Variables (Discrete and continuous), Distribution function – Expected values & moments – Moment generating function – probability generating function – Examples. Characteristic function – Uniqueness and inversion theorems – Cumulants, Chebychev’s inequality – Simple problems.
Statistics (UG Standard)
UNIT I : Uses, Scope and limitation of Statistics, Collection, Classification and Tabulation of data, Diagramatic and Graphical representation, Measures of location, dispersion, Skewness and Kurtosis – Correlation and regression – Curve Fitting – Linear and Quadratic equation by the method of least squares.
UNIT II : Probability – Addition, Multiplication and Baye’s Theorems and their application. Tchebychev’s inequality. Random variables – Univariate and Bivariate – Probability distributions – Marginal and conditional distributions – Expectations – Moments and cumulants generating functions.
UNIT III : Probability distributions – Binomial, Poisson, Geometric and Hypergeometric. Continuous distributions – Uniform, exponential and normal. Sampling distributions and standard error, student’s ‘t’, Chi-square and F statistic – distributions and their applications.
UNIT IV : Estimation – Point estimation – properties of estimates Neyman – Fisher Factorization theorem(without proof) Cramer – Rao inequality, Rao – Blackwell theorem – MLE and method of Moments estimation – Interval estimation – for population mean and variance based on small and large samples.
UNIT V : Tests of Hypothesis – Null and Alternative – Types of errors – Power of test, Neyman – Pearson lemma, UMP and Likelihood ratio tests, Test procedures for large and small samples – Independence of attributes, Chi-square test – Goodness of fit
UNIT VI : Simple random sample – stratified, systematic, Cluster (Single stage) Estimation of mean and variance in SKS – Sample Survey – Organisation – CSO and NSSO – Sampling and Non-Sampling errors. Analysis of Variance – Principles of design CRD, RBD and LSD – Factorial experiments 22 , 23 and 3 2 (Without confounding) Missing plot techniques.
UNIT VII : Concept of SQC – Control Charts – X, R, p and charts Acceptance sampling plan – single and double – OC curves Attributes and Variables plan. OR Models – Linear Programming problems – Simplex method Dual – Primal, Assignment problems, Net work – CPM and PERT
UNIT VIII : Time series – Different components – Trend and Seasonal Variations – Determination and elimination
UNIT IX : Index Numbers – Construction and uses – Different kinds of simple and weighted index numbers – Reversal tests – construction and use of cost of living index numbers – Birth and death rates – Crude and standard death rates, Fertility rates – Life table construction and uses.
UNIT X : Statistical Computing using Excel – Understanding on the usage of Statistical Packages including SPSS, MINITAB and SAS.
PAPER II Syllabus
General Studies :
1. General Science
2. Current Events
3. Indian Economy
4. Geography
5. History and culture of India
6. Indian Polity
7. Indian National Movement.
Aptitude and Mental Ability :
1. Graphs
2. Highest common factor, Lowest common factor
3. Compound Interest
4. Area
5. Volume
6. Time
7. Diagrammatic sequences
8. Decision making and problem-solving.
TNPSC CSSE Exam Pattern 2026
| S.No | Subject | No.of Question | Marks | Duration |
| Paper 1 | (i) Statistics (ii) Mathematics |
200 | 300 | 3 Hour |
| Paper 2 | General Studies (General Studies (Degree Standard) – 75 Questions and Aptitude and Mental Ability Test (SSLC Standard) – 25 Questions) | 100 | 150 | 2 Hour |
| Total | 300 | 450 | 5 Hour |
Exam Date : Notified Soon
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FAQs
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