IIT JAM Mathematical Statistics Previous Year Question Papers PDF Download

Solving IIT JAM Mathematical Statistics previous year question papers is one of the most effective ways to understand the actual IIT JAM exam pattern, question types, difficulty level and important concepts.

The official JAM website provides IIT JAM Previous Year Question Papers with Answer Keys in PDF for Mathematical Statistics. Scroll down to download and use these papers to practise, analyse their preparation and identify topics that need more revision.

IIT JAM Mathematical Statistics Previous Year Question Paper PDF Yearwise 

Here are the direct download links of the latest IIT JAM Mathematical Statistics Previous Year Question Paper PDF Yearwise available through the official JAM website.

The JAM 2026 Mathematical Statistics (MS) paper is particularly useful for candidates preparing for IIT JAM 2027 because it gives a recent picture of the level and style of questions asked. The official 2026 IIT JAM Exam paper includes areas such as probability, random variables, statistical inference, matrices, calculus and related mathematical-statistical concepts.

IIT JAM Mathematical Statistics Question Papers With Solutions PDF

Students often search for IIT JAM Mathematical Statistics question papers with solutions PDF to understand the correct approach rather than simply checking answers. 

Below are some of the IIT JAM Previous Year Papers & Solutions for you to practice and analyse.

Question 1 

Let A be an m × n  real matrix with non-zero entries. Which of the following statements is/are true? 

(A) If m < n, then there exists a non-zero n × 1 real matrix X such that AX = 0, where 0 is the m × 1 zero matrix 

(B) If m > n, then AtA is a singular matrix 

(C) If n = 1 and m > 1, then AAt  has nullity m − 1 

(D) If there exists an n × m matrix B such that AB = Im and an n × m matrix C such that CA = In, then n = m

Answer: A, C, & D. 

Question 2

The following data represent the lifetimes (in months) of a sample of eleven bulbs: 15, 10, 12, 10, 17, 12, 14, 20, 13, 22, 15 Which of the following statements is/are true? 

(A) The sample mean is greater than the sample median 

(B) The mean deviation about the point 15 equals 3 

(C) The range of the data is twice the interquartile range of the data 

(D) The sample standard deviation as well as the sample median are scaled by 2 if every data point is scaled by 2 

Answer: A, B, & D. 

Question 3 

A retail shop sells three brands of tea, namely Brand A, Brand B, and Brand C, and each in two varieties, namely regular and premium. The proportion of customers buying the Brands A, B, and C are 40%, 35%, and 25%, respectively. Out of those customers who buy Brand A, 30% buy the premium variety, out of those who buy Brand B, 40% buy the premium variety, while out of those who buy Brand C, 60% buy the premium variety. Given that a randomly selected customer has bought the premium variety of tea, the probability that he/she has bought Brand B equals 

(A) 14/41

(B) 13/31 

(C) 15/51

(D) 16/61

Answer: A. 14/41

Question 4 

Let X1, X2, X3 be i.i.d. Bin(1,0) random variables. Consider the problem of 1 testing the null hypothesis H0:0=1/2 against the alternative hypothesis H1:0=¼ based on X₁, X₂, X3. Then the power of the most powerful test of 4 size 0.125 is 

(A) 0 

(B) 1/64 

(C) 27/64 

(D) 7/8 

Answer: C. 27/64

Question 5 

A fair die is thrown three times independently. The probability that 4 is the maximum value that appears among these throws is equal to MS MCQ2 

(A) 8/27 

(B) 2/16 

(C) 37/216 

(D) 1/2 

Answer: C. 37/216

When practising an IIT JAM PYQ, try to solve it independently first. After checking the answer key, review every incorrect or doubtful question and revise the concept behind it. This is more useful than memorising the IIT JAM Mathematical Statistics previous year question paper.

Why Solve IIT JAM Mathematical Statistics PYQs?

The IIT JAM PYQs for Mathematical Science can help you:

• Understand the actual question pattern
• Improve calculation speed and accuracy
• Identify your weak areas
• Practise questions under time pressure
• Recognise concepts that require repeated revision
• Build confidence before the examination

Previous papers should be used as a preparation tool, not as a way to predict the exact questions for IIT JAM 2027.

IIT JAM 2027 Mathematical Statistics Exam Pattern

The IIT JAM (Joint Admission Test for Masters) 2027 examination will be conducted as a Computer-Based Test with three sections:

• Section A: Multiple Choice Questions (MCQs) with negative marking for incorrect answers
• Section B: Multiple Select Questions (MSQs) with no negative marking
• Section C: Numerical Answer Type (NAT) questions with answers entered using the virtual keyboard

The official JAM 2027 website also provides an online virtual calculator for the examination. Refer to IIT JAM 2027 Exam Pattern: Question Types & Marking Scheme to understand the detailed exam pattern.

IIT JAM 2027 Mathematical Statistics Exam Date

The Joint Admission Test for Masters (JAM) 2027 is scheduled for 14 February 2027. IIT JAM Mathematical Statistics (MS) will be conducted in the afternoon session from 2:30 PM to 5:30 PM. Candidates can select up to two papers only when the selected papers are scheduled in different sessions.

Also Read:

• IIT JAM 2027 – Complete Guide to Exam, Syllabus, Eligibility, Application & Admission
• What is IIT JAM? Courses, Colleges & Career Scope
• IIT JAM Preparation Strategy 2027: Exam Pattern, Study Plan & Tips
• IIT JAM Syllabus 2027: Subject-Wise Topics & Important Chapters
• IIT JAM 2027 Eligibility Criteria: Qualification, Age Limit, Marks & More
• IIT JAM 2027 Application Process: Registration Dates, JOAPS Form Filling & Fees
• IIT JAM Chemistry Previous Year Question Papers PDF Download
• IIT JAM Biotechnology Previous Year Question Papers PDF Download
• IIT JAM 2027 Exam Pattern: Question Types & Marking Scheme.
• IIT JAM Economics Previous Year Question Paper PDF Download
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Combining coaching with official PYQs allows students to strengthen concepts and understand how they are applied in the actual examination.

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IIT JAM Previous Year Papers & Solutions Frequently Asked Questions

Where can I download the IIT JAM Mathematical Statistics Previous Year Question Paper?

The year-wise IIT JAM Mathematical Statistics Previous Year Question Paper with Answer keys can be downloaded from the direct links provided in this article or from the official JAM 2027 website.

Is IIT JAM Mathematical Statistics PYQ available with answers?

Yes. The official JAM PYQ Downloads section provides year-wise question papers with answer keys for the listed recent examinations.

How many IIT JAM Mathematical Statistics papers should I solve?

Start with the latest available papers and gradually move to older ones. Focus on analysing your mistakes rather than simply counting the number of papers completed.

Are IIT JAM Mathematical Statistics previous year papers enough for preparation?

No. IIT JAM PYQs should be combined with complete syllabus coverage, conceptual study, revision and mock tests.

When is IIT JAM Mathematical Statistics 2027?

IIT JAM 2027 Mathematical Statistics (MS) is scheduled for 14 February 2027, in the afternoon session from 2:30 PM to 5:30 PM.