Exam Syllabus of CGL Tier- II
CGL Tier-II of the Examination :
Tier-2 is the most important part of Exam CGL because this is the first Step to selection of process. Exam Syllabus detail are given below ..................
Combined Graduate Level (Tier-II) Examination:
Tier-II of the Combined Graduate Level Examination -2016 will be of Objective Type
Multiple Choice and will be conducted over a period of two days. Probable dates for
CGL (Tier -II) Exam are 13.08.2016 (Saturday) & 14.08.2016 (Sunday).
Scheme of Written Examination (Tier-II):
(i): Paper-I & II are compulsory for all the categories of posts.
(ii): Paper-III is only for those candidates who apply for the post of Statistical
Investigator Gr.II & Compiler.
(iii): Paper IV is only for those candidates who apply for the post of Assistant Audit
Officer.
(iv): Candidates opting for the post of Compiler and/or Statistical Investigator Gr.
II and Assistant Audit Officer must ensure that they possess the requisite.
Indicative Syllabus for Tier-II of the Examination:
Paper-I : Quantitative Ability : The questions will be designed to test the ability of
appropriate use of numbers and number sense of the candidate. The scope of the
test will be the computation of whole numbers, decimals ,fractions and relationships
between numbers, Percentage. Ratio & Proportion,Square roots, Averages, Interest,
Profit and Loss, Discount, Partnership Business, Mixture and Alligation, Time and
distance, Time & Work, Basic algebraic identities of School Algebra & Elementary
surds, Graphs of Linear Equations, Triangle and its various kinds of centres,
Congruence and similarity of triangles, Circle and its chords, tangents, angles
subtended by chords of a circle, common tangents to two or more circles, Triangle,
Quadrilaterals, Regular Polygons , Circle, Right Prism, Right Circular Cone, Right
Circular Cylinder, Sphere, Hemispheres, Rectangular Parallelepiped, Regular Right
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Pyramid with triangular or square base, Trigonometric ratio, Degree and Radian
Measures, Standard Identities, Complementary angles, Heights and Distances,
Histogram, Frequency polygon, Bar diagram & Pie chart
Paper-II : English Language & Comprehension: Questions in this components
will be designed to test the candidate’s understanding and knowledge of English
Language and will be based on spot the error, fill in the blanks, synonyms,
antonyms, spelling/detecting mis-spelt words, idioms & phrases, one word
substitution, improvement of sentences, active/passive voice of verbs, conversion
into direct/indirect narration, shuffling of sentence parts, shuffling of sentences in a
passage, cloze passage & comprehension passage.
Paper-III : Statistics for Investigator Grade-II, Ministry of Statistics & Programme
Implementation & Compiler in RGI.
Collection Classification and Presentation of Statistical Data – Primary and
Secondary data, Methods of data collection; Tabulation of data; Graphs and charts;
Frequency distributions; Diagrammatic presentation of frequency distributions.
Measures of Central Tendency- Common measures of central tendency – mean
median and mode; Partition values- quartiles, deciles, percentiles.
Measures of Dispersion- Common measures dispersion – range, quartile
deviations, mean deviation and standard deviation; Measures of relative dispersion.
Moments, Skewness and Kurtosis – Different types of moments and their
relationship; meaning of skewness and kurtosis; different measures of skewness
and kurtosis.
Correlation and Regression – Scatter diagram; simple correlation coefficient;
simple regression lines; Spearman’s rank correlation; Measures of association of
attributes; Multiple regression; Multiple and partial correlation (For three variables
only).
Probability Theory – Meaning of probability; Different definitions of probability;
Conditional probability; Compound probability; Independent events; Bayes’
theorem.
Random Variable and Probability Distributions – Random variable; Probability
functions; Expectation and Variance of a random variable; Higher moments of a
random variable; Binomial , Poisson, Normal and Exponential distributions; Joint
distribution of two random variable (discrete).
Sampling Theory – Concept of population and sample; Parameter and statistic,
Sampling and non-sampling errors; Probability and non-probability sampling
techniques(simple random sampling, stratified sampling, multistage sampling,
multiphase sampling, cluster sampling, systematic sampling, purposive sampling,
convenience sampling and quota sampling); Sampling distribution(statement only);
Sample size decisions.
Statistical Inference - Point estimation and interval estimation, Properties of a
good estimator, Methods of estimation (Moments method, Maximum likelihood
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method, Least squares method), Testing of hypothesis, Basic concept of testing,
Small sample and large sample tests, Tests based on Z, t, Chi-square and F
statistic, Confidence intervals.
Analysis of Variance - Analysis of one-way classified data and two-way
classified data.
Time Series Analysis - Components of time series, Determinations of trend
component by different methods, Measurement of seasonal variation by different
methods.
Index Numbers - Meaning of Index Numbers, Problems in the construction of
index numbers, Types of index number, Different formulae, Base shifting and
splicing of index numbers, Cost of living Index Numbers, Uses of Index Numbers.
Paper IV: General Studies (Finance and Economics) for the post of Assistant Audit
Officer in Indian Audit & Accounts Department under CAG.