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IIT JAM (Joint Admission Test for M.Sc.)

IIT JAM Mathematical Statistics Mock Test 2026

गणितीय सांख्यिकी (MS) मॉक टेस्ट — हिंदी और अंग्रेज़ी में, असली CBT परीक्षा जैसा

Practise IIT JAM Mathematical Statistics in the real computer-based format: Hindi and English questions, a solution for every question and your rank among Haryana aspirants.

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About the IIT JAM Mathematical Statistics exam

The IIT JAM Mathematical Statistics (MS) paper is one of the seven test papers of the Joint Admission Test for M.Sc. (IIT JAM), a national computer-based entrance exam held once a year by one of the IITs on rotation. It is the entry route to M.Sc. programmes in statistics and data-related fields at the IITs and other institutes that accept JAM scores. Eligibility, seats, important dates and the cut-offs are in the official JAM information brochure and change every cycle, so always check them there.

Every JAM paper has 60 questions for 100 marks in 3 hours, in three sections: Section A has 30 single-answer multiple-choice questions (10 of 1 mark and 20 of 2 marks); Section B has 10 multiple-select questions of 2 marks; Section C has 20 numerical-answer questions (10 of 1 mark and 10 of 2 marks). A wrong MCQ answer costs one-third of its marks (⅓ for a 1-mark and ⅔ for a 2-mark question); multiple-select and numerical-answer questions carry no negative marking. The test is computer-based and in English.

The Mathematical Statistics paper tests calculus and linear algebra as the base, with most of the weight on probability, random variables and distributions, and statistical inference. Questions are conceptual and application-based, so reading a book once is not enough: you need to solve many problems under a time limit.

MS paper me probability aur distributions ke sawal sabse zyada aate hain; moments, MGF aur standard distributions ki table ratne se pehle unka derivation samjho.

How to prepare: Master calculus and matrices quickly, then spend most time on distributions and inference problems, and check every answer with a quick sanity bound. Take our free Mathematical Statistics mock to find out where you stand, and see the IIT JAM Mathematics paper too if your plan involves a second subject.

Always check the latest official notification for the current exam pattern, syllabus and eligibility.

IIT JAM Mathematical Statistics syllabus at a glance

  • Mathematics
  • Probability
  • Distributions
  • Statistics
Read the full IIT JAM Mathematical Statistics syllabus 2026 →

Important topics for IIT JAM Mathematical Statistics 2026

  • Probability: conditional probability and Bayes' theorem, independence, Chebyshev's inequality
  • Random variables: expectation, variance, moments and moment generating functions, covariance and correlation
  • Distributions: binomial, Poisson, geometric, uniform, exponential, gamma, normal and chi-square, with their means and variances
  • Inference: unbiased estimators, maximum likelihood, Cramér–Rao bound, confidence intervals, Type I and II errors, power, chi-square tests
  • Mathematics base: limits, series, integrals, matrices, determinants and eigenvalues

Full syllabus and study plan →

IIT JAM Mathematical Statistics mock tests

Free tests (1)

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IIT JAM Mathematical Statistics Free Mock Test 1

आईआईटी जैम गणितीय सांख्यिकी फ्री मॉक टेस्ट 1

30 Qs · 30 marks 90 min
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Full-length mock tests (11)

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IIT JAM Mathematical Statistics Mock Test 12

आईआईटी जैम गणितीय सांख्यिकी मॉक टेस्ट 12

30 Qs · 30 marks 90 min
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IIT JAM Mathematical Statistics Mock Test 11

आईआईटी जैम गणितीय सांख्यिकी मॉक टेस्ट 11

30 Qs · 30 marks 90 min
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IIT JAM Mathematical Statistics Mock Test 10

आईआईटी जैम गणितीय सांख्यिकी मॉक टेस्ट 10

30 Qs · 30 marks 90 min
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IIT JAM Mathematical Statistics Mock Test 9

आईआईटी जैम गणितीय सांख्यिकी मॉक टेस्ट 9

30 Qs · 30 marks 90 min
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IIT JAM Mathematical Statistics mock test questions with answers

  1. Q1. The limit of sin(3x)/x as x → 0 is:

    The limit of sin(3x)/x as x → 0 is:

    • A. 0
    • B. 1
    • C. 3
    • D. 1/3

    sin(3x)/x = 3·sin(3x)/(3x) → 3 × 1 = 3.

  2. Q2. The value of ∫₀^∞ e^(−2x) dx is:

    The value of ∫₀^∞ e^(−2x) dx is:

    • A. 1/4
    • B. 1/2
    • C. 1
    • D. 2

    The integral equals [−e^(−2x)/2] from 0 to ∞ = 1/2.

  3. Q3. The determinant of the matrix [[1, 2, 0], [0, 3, 4], [0, 0, 5]] is:

    The determinant of the matrix [[1, 2, 0], [0, 3, 4], [0, 0, 5]] is:

    • A. 15
    • B. 12
    • C. 9
    • D. 30

    The matrix is upper triangular, so det = 1 × 3 × 5 = 15.

  4. Q4. The sum of the series Σ (1/2)ⁿ for n = 0 to ∞ is:

    The sum of the series Σ (1/2)ⁿ for n = 0 to ∞ is:

    • A. 1
    • B. 3/2
    • C. 4
    • D. 2

    A geometric series with first term 1 and ratio 1/2 sums to 1/(1 − 1/2) = 2.

  5. Q5. The maximum value of f(x) = x(1 − x) on [0, 1] is:

    The maximum value of f(x) = x(1 − x) on [0, 1] is:

    • A. 1/2
    • B. 1/4
    • C. 1/8
    • D. 1

    f′ = 1 − 2x = 0 at x = 1/2 and f(1/2) = 1/4.

Try all 30 questions of IIT JAM Mathematical Statistics Free Mock Test 1

How to practise for IIT JAM Mathematical Statistics

  1. 1

    Take a free test

    Start the free mock now. No signup is needed for free tests.

  2. 2

    Attempt in real CBT mode

    Timer, question palette, Mark for Review and Save & Next, in Hindi or English.

  3. 3

    Analyse and improve

    See your score, HR rank, a solution for every question and your weak topics.

IIT JAM Mathematical Statistics — FAQs

How many questions and how much time are there in the IIT JAM Mathematical Statistics paper?

60 questions for 100 marks in 3 hours: 30 single-answer MCQs, 10 multiple-select questions and 20 numerical-answer questions. Check the current JAM brochure in case the pattern changes.

Is there negative marking in IIT JAM Mathematical Statistics?

Yes, for the single-answer MCQs: one-third of the question's marks is deducted for a wrong answer (⅓ for 1-mark and ⅔ for 2-mark questions). Multiple-select and numerical-answer questions have no negative marking.

What does the IIT JAM Mathematical Statistics mock test on this site contain?

A free 30-question set of single-answer MCQs for Mathematical Statistics (MS) with 1 mark per question, 0.33 negative marking and detailed solutions, to be taken in 90 minutes. Multiple-select and numerical-answer questions are not part of it yet.

How should I split time between mathematics and statistics for IIT JAM MS?

Spend roughly a third on the mathematics base (calculus and linear algebra) and two thirds on probability, distributions and inference, which hold most of the harder questions.

How many months are needed to prepare for IIT JAM Mathematical Statistics?

Around ten weeks of steady study covers the syllabus once if you already know the undergraduate basics. Add timed mocks every week in the last month.

Is the MS paper asked in English only?

Yes, IIT JAM is conducted in English, so the questions and options on our mock tests are in English as well.

Is the IIT JAM Mathematical Statistics mock test available for free?

Yes. You can start with free IIT JAM Mathematical Statistics mock tests without logging in. Log in for free to save your results and see your rank among Haryana aspirants.

Is the IIT JAM Mathematical Statistics mock test available in Hindi?

Yes. Every question, option and explanation is available in both Hindi and English, and you can switch language at any time during the test.

Is the test interface similar to the real IIT JAM exam?

Yes. Tests run in a CBT interface with a question palette, Mark for Review & Next, Save & Next, section tabs and an auto-submitting timer, just like government computer-based exams.

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