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GATE Statistics Free Mock Test
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GATE Statistics Syllabus 2027, Exam Pattern
GATE Statistics Syllabus 2027, Exam Pattern, Exam Date 2027
Detail Information about GATE has published notification 2027 for the Notification of Statistics (ST). 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 Notification with Latest Update Exam Pattern and the Exam Date also.
GATE Exam Highlights 2027
| Exam | Graduate Aptitude Test in Engineering (GATE) |
| Organization | IIT Guwahati |
| Application Mode | Online |
| Frequency of Examination | Annual |
| Number of GATE Papers | 30 |
| Mode of Examination | Computer-Based Mode |
| Category | Syllabus and Exam Pattern |
| Purpose of Examination | Qualifying Examination for M.E./ M.Tech/ Ph.D admissions and PSU |
| Official Website | gate2027.iitg.ac.in |
GATE Statistics Syllabus 2027
General Aptitude :
Verbal Aptitude
1. Basic English grammar
2. Tenses
3. Articles
4. Adjectives
5. Prepositions
6. Conjunctions
7. Verb-noun agreement and other parts of speech
8. Basic vocabulary
9. Words
10. Idioms
11. Phrases in context
12. Reading and comprehension
13. Narrative sequencing
Quantitative Aptitude
1. Data interpretation
2. Data graphs (bar graphs, pie charts, and other graphs representing data)
3. 2- and 3-dimensional plots
4. Maps
5. Tables
6. Numerical computation and estimation
7. Ratios
8. Percentages
9. Powers
10. Exponents and logarithms
11. Permutations and combinations
12. Series
13. Mensuration and geometry
14. Elementary statistics
15. Probability
Analytical Aptitude
1. Logic: deduction and induction
2. Analogy
3. Numerical relations and reasoning
Spatial Aptitude
1. Transformation of shapes
3. Translation
4. Rotation
5. Scaling
6. Mirroring
7. Assembling
8. Grouping
9. Paper folding
10. Cutting
11. Patterns in 2 and 3 dimensions
1. Basic English grammar
2. Tenses
3. Articles
4. Adjectives
5. Prepositions
6. Conjunctions
7. Verb-noun agreement and other parts of speech
8. Basic vocabulary
9. Words
10. Idioms
11. Phrases in context
12. Reading and comprehension
13. Narrative sequencing
Quantitative Aptitude
1. Data interpretation
2. Data graphs (bar graphs, pie charts, and other graphs representing data)
3. 2- and 3-dimensional plots
4. Maps
5. Tables
6. Numerical computation and estimation
7. Ratios
8. Percentages
9. Powers
10. Exponents and logarithms
11. Permutations and combinations
12. Series
13. Mensuration and geometry
14. Elementary statistics
15. Probability
Analytical Aptitude
1. Logic: deduction and induction
2. Analogy
3. Numerical relations and reasoning
Spatial Aptitude
1. Transformation of shapes
3. Translation
4. Rotation
5. Scaling
6. Mirroring
7. Assembling
8. Grouping
9. Paper folding
10. Cutting
11. Patterns in 2 and 3 dimensions
Statistics (ST) Syllabus :
Calculus: Finite, countable and uncountable sets; Real number system as a complete ordered field, Archimedean property; Sequences of real numbers, convergence of sequences, bounded sequences, monotonic sequences, Cauchy criterion for convergence; Series of real numbers, convergence, tests of convergence, alternating series, absolute and conditional convergence; Power series and radius of convergence; Functions of a real variable: Limit, continuity, monotone functions, uniform continuity, differentiability, Rolle’s theorem, mean value theorems, Taylor’s theorem, L’Hospital rule, maxima and minima, Riemann integration and its properties, improper integrals; Functions of several real variables: Limit, continuity, partial derivatives, directional derivatives, gradient, Taylor’s theorem, total derivative, maxima and minima, saddle point, method of Lagrange multipliers, double and triple integrals and their applications.
Matrix Theory: Subspaces of ℝ𝑛𝑛 and ℂ𝑛𝑛, span, linear independence, basis and dimension, row space and column space of a matrix, rank and nullity, row reduced echelon form, trace and determinant, inverse of a matrix, systems of linear equations; Inner products in ℝ𝑛𝑛 and ℂ𝑛𝑛, Gram-Schmidt orthonormalization; Eigenvalues and eigenvectors, characteristic polynomial, Cayley-Hamilton theorem, symmetric, skew-symmetric, Hermitian, skew-Hermitian, orthogonal, unitary matrices and their eigenvalues, change of basis matrix, equivalence and similarity, diagonalizability, positive definite and positive semi-definite matrices and their properties, quadratic forms, singular value decomposition.
Probability: Axiomatic definition of probability, properties of probability function, conditional probability, Bayes’ theorem, independence of events; Random variables and their distributions, distribution function, probability mass function, probability density function and their properties, expectation, moments and moment generating function, quantiles, distribution of functions of a random variable, Chebyshev, Markov and Jensen inequalities.
Standard Discrete and Continuous Univariate Distributions: Bernoulli, binomial, geometric, negative binomial, hypergeometric, discrete uniform, Poisson, continuous uniform, exponential, gamma, beta, Weibull, normal.
Jointly distributed random variables and their distribution functions, probability mass function, probability density function and their properties, marginal and conditional distributions, conditional expectation and moments, product moments, simple correlation coefficient, joint moment generating function, independence of random variables, functions of random vector and their distributions, distributions of order statistics, joint and marginal distributions of order statistics; multinomial distribution, bivariate normal distribution, sampling distributions: central, chi-square, central t, and central F distributions.
Convergence in distribution, convergence in probability, convergence almost surely, convergence in rth mean and their inter-relations, Slutsky’s lemma, Borel-Cantelli lemma; weak and strong laws of large numbers; central limit theorem for i.i.d. random variables, delta method.
Stochastic Processes: Markov chains with finite and countable state space, classification of states, limiting behavior of n-step transition probabilities, stationary distribution, Poisson process, birth-anddeath process, pure-birth process, pure-death process, Brownian motion and its basic properties.
Estimation: Sufficiency, minimal sufficiency, factorization theorem, completeness, completeness of exponential families, ancillary statistic, Basu’s theorem and its applications, unbiased estimation, uniformly minimum variance unbiased estimation, Rao-Blackwell theorem, Lehmann-Scheffe theorem, Cramer-Rao inequality, consistent estimators, method of moments estimators, method of maximum likelihood estimators and their properties; Interval estimation: pivotal quantities and confidence intervals based on them, coverage probability.
Testing of Hypotheses: Neyman-Pearson lemma, most powerful tests, monotone likelihood ratio (MLR) property, uniformly most powerful tests, uniformly most powerful tests for families having MLR property, uniformly most powerful unbiased tests, uniformly most powerful unbiased tests for exponential families, likelihood ratio tests, large sample tests.
Non-parametric Statistics: Empirical distribution function and its properties, goodness of fit tests, chi-square test, Kolmogorov-Smirnov test, sign test, Wilcoxon signed rank test, Mann- Whitney U-test, rank correlation coefficients of Spearman and Kendall.
Multivariate Analysis: Multivariate normal distribution: properties, conditional and marginal distributions, maximum likelihood estimation of mean vector and dispersion matrix, Hotelling’s T2 test, Wishart distribution and its basic properties, multiple and partial correlation coefficients and their basic properties.
Regression Analysis: Simple and multiple linear regression, R2 and adjusted R2 and their applications, distributions of quadratic forms of random vectors: Fisher-Cochran theorem, Gauss Markov theorem, tests for regression coefficients, confidence intervals.
GATE Statistics Exam Pattern 2027
GATE Exam Pattern 2027 : Highlights
| GATE Examination Mode | Computer-Based Test (CBT) |
| GATE Exam Language | English |
| GATE Duration | 3 Hours (180 Minutes) |
| GATE Sectional Time Limit | None |
| GATE Total Marks | 100 |
| GATE Total Number of questions | 65 |
| GATE Type of Questions | Multiple Choice Questions (MCQ)
Multiple Select Questions (MSQ);
Numerical Answer Type (NAT) Questions
|
| GATE Number of Sections | Two/ Three (depending on the paper) |
| GATE Section-wise Number of Questions |
General Aptitude- 10 questions,
Core Discipline- 55 questions
|
| GATE Section-wise Weightage |
General Aptitude- 15 marks,
Core Discipline- 85 marks
|
| GATE Marking Scheme | 1 or 2 marks for each correct answer |
| GATE Negative Marking |
For 1 mark MCQ, 1/3 mark will be deducted for a wrong answer;
For 2-mark MCQ, 2/3 mark will be deducted for a wrong answer;
No negative marking for MSQs and NATs
|
Duration : 180 Minutes
Negative Mark :
For 1 mark MCQ, 1/3 mark will be deducted for a wrong answer;
For 2-mark MCQ, 2/3 mark will be deducted for a wrong answer;
No negative marking for MSQs and NATs
| S.No | Subject | No.of Question | Marks |
| 1 | General Aptitude | 10 | 15 |
| 2 | Statistics | 55 | 85 |
| Total | 65 | 100 |
GATE Exam Date 2026 : February 2027 (Tentative)
Starting Date of Application Form : August 2026 (Tentative)
Last Date of Application Form : October 2026 (Tentative)
Starting Date of Application Form : August 2026 (Tentative)
Last Date of Application Form : October 2026 (Tentative)
GATE Statistics 2027 Free Mock Test
Crack GATE Statistics Mock Test 2027 with the help of GATE Statistics Free Mock Test or Question Paper. Every Sample Paper in GATE ST 2027 has a designated weightage so do not miss out any Paper. Preprare for GATE Statistics (ST) Mock Test 2027 and check your test scores.
GATE Statistics Exam Free Online Question Bank
GATE Statistics question answer with solutions are available in Hindi & English. Join MCQ, Important Questions, Question Bank, questions and answers for Free GATE Statistics exam preparation.
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5. 1000 (+) GK MCQ with Answer PDF Book in English.
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Combo Package
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Combo - 6 (English)
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5. 1500 (+) Current Affairs MCQ with Answer PDF in English.
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FAQs
GATE Statistics 2027 Free Mock Test Frequently Asked Questions (FAQ's)
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