GATE 2021 Statistics (ST) Question Paper PDF Download

GATE 2021 Statistics (ST) Question Paper PDF Download

Practicing with the official GATE 2021 Statistics (ST) question paper is a fundamental step for any candidate aiming for a competitive rank. Organized by IIT Bombay, this document reflects the rigorous academic standards of the 2021 examination. Analyzing the questions in this paper allows you to understand the distribution of weightage across critical areas such as Probability, Statistical Inference, and Multivariate Analysis, helping you refine your preparation strategy for future exam cycles.

Why You Need to Review the 2021 Statistics Paper

The GATE 2021 Statistics paper serves as an essential benchmark for your readiness. It tests your ability to apply complex statistical theory to practical, problem-oriented scenarios under strict time constraints. Reviewing this paper helps you grasp the nuances of modern question framing, especially in high-stakes sections like Multiple Select Questions (MSQ) and Numerical Answer Type (NAT) questions.

Statistics requires both deep conceptual clarity and precision in calculation. Whether you are aiming for advanced research opportunities or careers in data-driven sectors, this paper is an accurate reflection of the current testing standards. Using this document alongside the official answer key provided by IIT Bombay ensures that your self-assessment is based on validated, correct solutions.

GATE 2021 Statistics Exam Pattern

The structure of the ST paper is designed to challenge your analytical speed and mathematical depth. The 2021 exam followed this pattern:

• General Aptitude: 15 Marks (Mandatory)
• Core Statistics Subject: 85 Marks
• Total: 100 Marks

You had 3 hours to complete 65 questions. The Statistics (ST) paper integrates mathematical foundations directly into the core subject section, requiring a strong command of linear algebra and calculus as they apply to probability, distribution theory, and statistical inference.

Types of Questions

The GATE 2021 Statistics paper utilizes three specific formats:

• Multiple Choice Questions (MCQ): These feature four options with only one correct answer. Negative marking is applied (1/3 mark for 1-mark questions, 2/3 mark for 2-mark questions). Precision is vital here.
• Multiple Select Questions (MSQ): These have four options where one or more can be correct. You must select all correct options to earn full marks. There is no partial credit and no negative marking, making these questions high-reward opportunities.
• Numerical Answer Type (NAT): These require you to enter a precise numerical value using a virtual keyboard. There is no negative marking for these, making them essential for boosting your score.

Key Topics and Weightage

Based on the 2021 exam trends, success relies on prioritizing specific high-yield areas:

• Probability: This remains the foundation of the paper, covering distributions, moments, and limit theorems.
• Calculus: Necessary for understanding probability density functions, cumulative distribution functions, and optimization.
• Multivariate Analysis: Tests your knowledge of covariance matrices, principal component analysis, and multivariate normal distributions.
• Estimation and Hypothesis Testing: Focuses on the properties of estimators, UMVUE, likelihood ratio tests, and the power of statistical tests.

How to Analyze Your Performance

Follow this structured review process to get the most value from this document:

1. Timed Simulation: Use this paper as a full-length mock test. Set a 3-hour timer and complete the paper in one sitting without referring to textbooks or notes.
2. Error Categorization: After checking your answers, identify the root cause of your mistakes. Was it a lack of conceptual clarity, a simple calculation error, or a misunderstanding of the MSQ requirements?
3. Use the Official Master Key: Compare your answers against the Master Question Paper and Final Answer Key released by IIT Bombay to ensure your self-assessment is accurate.
4. Master the Virtual Calculator: Since many NAT questions involve complex arithmetic, practice using the GATE virtual calculator interface to save time during the actual exam.