ISS (Indian Statistical Service) — Topics & Contents
Mathematics
Real Analysis: Sequences and series, continuity, differentiability, Riemann integration, metric spaces
Linear Algebra: Vector spaces, linear transformations, eigenvalues/eigenvectors, matrices
Calculus: Partial derivatives, maxima and minima, multiple integrals, differential equations
Complex Analysis: Analytic functions, contour integration, Cauchy’s theorem
Topology: Open/closed sets, compactness, connectedness
Numerical Analysis: Numerical integration, numerical solutions to equations
Statistics
Probability: Axioms, conditional probability, Bayes theorem, discrete and continuous random
variables
Distributions: Binomial, Poisson, Normal, Exponential, Gamma distributions
Statistical Inference: Point and interval estimation, properties of estimators, hypothesis testing
(Neyman-Pearson lemma, likelihood ratio test)
Sampling Theory: Simple random sampling, stratified sampling, systematic sampling
Design of Experiments: Completely randomized design, randomized block design, factorial design
Multivariate Analysis: Multivariate normal distribution, principal component analysis, factor
analysis
Stochastic Processes: Markov chains, Poisson process
Demography & Official Statistics: Population statistics, census data
Econometrics: Regression models, least squares, time series basics
SSC CGL — Topics & Contents
Tier 1 & Tier 2
General Intelligence & Reasoning
Analogies
Coding-Decoding
Series (Numbers & Alphabets)
Blood Relations
Direction Sense
Syllogism
Classification
Puzzle Test
Data Sufficiency
General Awareness
Indian History (Ancient, Medieval, Modern)
Geography (Physical, Indian, World)
Indian Polity (Constitution, Governance)
Economy (Basics, Current, Budget)
Science (Physics, Chemistry, Biology – basics)
Current Affairs (National and International)
Awards, Books and Authors
Important Days
Quantitative Aptitude
Number System
Simplification
Percentage
Ratio & Proportion
Average
Profit and Loss
Time, Speed & Distance
Simple and Compound Interest
Algebra (Linear & Quadratic Equations)
Geometry (Triangles, Circles, Polygons)
Mensuration (Area, Volume, Surface Area)
Data Interpretation (Tables, Bar Graphs, Pie Charts)
English Language & Comprehension
Vocabulary (Synonyms, Antonyms, One-word Substitution)
Grammar (Tenses, Articles, Prepositions, Sentence Correction)
Sentence Improvement
Error Spotting
Reading Comprehension
Para Jumbles
Cloze Test