IIT JAM Mathematics Question Paper 2025: With the IIT JAM exam date is completed on the Feb 2, 2025, the candidates will be in search of the IIT JAM maths question paper 2025. Mathematics is one of the most important subjects of the IIT JAM Mathematics examination. The memory based questions of the IIT JAM 2025 maths question paper is now available for the candidates. The IIT JAM maths question paper with answers PDF will be attached at the end of the article so that the candidates can download and go through them. Proper and dedicated IIT JAM Mathematics preparation is necessary for clearing the IIT JAM exam with a good IIT JAM exam score and securing admissions to the top colleges of the country. But as soon as the IIT JAM Mathematics examination concludes, the candidates should also engage themselves in a comprehensive IIT JAM Mathematics question paper 2025 analysis to assess their performance and calculate their potential IIT JAM Mathematics score. The candidates are requested go through the contents this article for the IIT JAM Mathematics question paper analysis and memory-based IIT JAM maths questions.
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IIT JAM Mathematics Question Paper 2025 Analysis
IIT JAM Mathematics Syllabus and Exam Pattern
IIT JAM Mathematics Question Paper Analysis 2024
IIT JAM Mathematics Question Paper 2024
IIT JAM Mathematics Official Mock Test
IIT JAM 2025 Question Paper with Solutions
IIT JAM Mathematics Question Paper 2025 With Solutions PDF: Download Math Paper Here
IIT JAM Mathematics Question Paper 2025 Analysis
The comprehensive analysis of the IIT JAM Mathematics examination including the overall exam difficulty is mentioned below.
The IIT JAM 2025 Mathematics question paper followed the same format of the previous years.
The IIT JAM 2025 Mathematics question paper was calculation-intensive.
As per the initial responses of the candidates and the experts alike, the IIT JAM Mathematics 2025 question paper was slightly more easier than the previous year. While it was on the easier side, the 2025 IIT JAM Mathematics question paper was lengthy.
In the IIT JAM 2025 question paper, one question on relation and functions based on set homomorphism was asked.
One of the noticeable changes in the IIT JAM 2025 question paper was that in the differential equation questions, real analysis-based questions were asked. These questions were not solely based on finding the solutions to the questions.
According to the candidates, the questions that carried weightage of one mark were the most easiest in the IIT JAM 2025 Mathematics question paper.
IIT JAM Mathematics Syllabus and Exam Pattern
The complete IIT JAM Mathematics exam pattern is given below for the reference of the candidate. The candidates should ensure that they have gone through the entire syllabus and properly understand the IIT JAM Mathematics Question Paper pattern.
Going through the analysis of the previous years is essential for any IIT JAM Mathematics aspirant because it helps to be prepared for the various possible surprises that may occur in the IIT JAM Mathematics 2025 question paper. Going through the analysis would help the candidates to prepare themselves for the IIT JAM Mathematics examination by understanding the most important IIT JAM Mathematics topics, IIT JAM Mathematics difficulty level, possible cutoff scores and so on.
Overall Difficulty: The IIT JAM Mathematics 2024 paper was generally considered to be of moderate difficulty. While most questions were manageable, some sections tested deeper understanding and problem-solving abilities.
Topicwise Anlysis Topics like Group Theory and Integral Calculus had more lengthy and complex questions, requiring more time to solve. These sections were particularly demanding for many candidates. Group Theory carried the highest weightage in the 2024 exam, making it a crucial topic for the candidates. Questions on Differential Equations were also asked in the paper, and they were considered to be of moderate difficulty. The paper also included questions from Linear Transformation and Linear Algebra, both of which were of moderate level difficulty but not overly difficult, with candidates able to answer them with a decent understanding of the topics.
Most Difficult Section - Section C (NAT): Section C, or the Numerical Answer Type (NAT) section, was considered the toughest by many candidates. These questions required precise calculations and problem-solving, making it more challenging than other sections.
Comparison with IIT JAM Mathematics 2023: The IITJAM Mathematics 2024 paper was seen as more challenging than the 2023 exam. While the overall difficulty remained moderate, certain sections, particularly the lengthy questions, made it more difficult.
IIT JAM Mathematics Question Paper 2024
Given below are a few questions from each section of the IIT JAM Mathematics question paper 2024. By referring to these questions, the candidates will get to understand what they can expect from the actual IIT JAM 2025 Mathematics question papers.
Section A
Q.1 Let G be a group of order 39 such that it has exactly one subgroup of order 3 and exactly one subgroup of order 13. Then, which one of the following statements is TRUE?
(A) G is necessarily cyclic. (B) G is abelian but need not be cyclic. (C) G need not be abelian. (D) G has 13 elements of order 13.
Q.2 For a positive integer n, let U(n) = {r ∈ ℤₙ : gcd(r, n) = 1} be the group under multiplication modulo n. Then, which one of the following statements is TRUE?
(A) U(5) is isomorphic to U(8). (B) U(10) is isomorphic to U(12). (C) U(8) is isomorphic to U(10). (D) U(8) is isomorphic to U(12).
Q.3 Let y(x) be the solution of the differential equation
dy/dx = 1 + y sec x, for x ∈ (-π/2, π/2)
that satisfies y(0) = 0. Then, the value of y(π/6) equals:
Q.1 Which of the following statements is/are TRUE?
(A) The additive group of real numbers is isomorphic to the multiplicative group of positive real numbers. (B) The multiplicative group of nonzero real numbers is isomorphic to the multiplicative group of nonzero complex numbers. (C) The additive group of real numbers is isomorphic to the multiplicative group of nonzero complex numbers. (D) The additive group of real numbers is isomorphic to the additive group of rational numbers.
Q.2 The center Z(G) of a group G is defined as
Z(G) = {x ∈ G : xg = gx for all g ∈ G}.
Let |G| denote the order of G. Then, which of the following statements is/are TRUE for any group G?
(A) If G is non-abelian and Z(G) contains more than one element, then the center of the quotient group G/Z(G) contains only one element.
(B) If |G| ≥ 2, then there exists a non-trivial homomorphism from Z to G.
(C) If |G| ≥ 2 and G is non-abelian, then there exists a non-identity isomorphism from G to itself.
(D) If |G| = p³, where p is a prime number, then G is necessarily abelian.
Q.3 For a matrix M, let Rowspace(M) denote the linear span of the rows of M and Colspace(M) denote the linear span of the columns of M. Which of the following hold(s) for all A, B, C ∈ M₁₀(R) satisfying A = BC?
Q.4 Let S = {(x, y, z) ∈ R³ : x² + y² + z² = 4, (x − 1)² + y² ≤ 1, z ≥ 0}.
Then, the surface area of S equals _______ (rounded off to two decimal places).
Section C
Q.1 For α ∈ (−2π, 0), consider the differential equation
x²(d²y/dx²) + αx(dy/dx) + y = 0 for x > 0.
Let D be the set of all α ∈ (−2π, 0) for which all corresponding real solutions to the above differential equation approach zero as x → 0⁺. Then, the number of elements in D ∩ Z equals _______.
then the sequence {aₙ} (n=1 to ∞) converges to _______ (rounded off to two decimal places).
Q.3 For k ∈ N, let 0 = t₀ < t₁ < ⋯ < tₖ < tₖ₊₁ = 1. A function f : [0,1] → R is said to be piecewise linear with nodes t₁, ⋯, tₖ if for each j = 1, 2, ⋯, k + 1, there exist aⱼ ∈ R and bⱼ ∈ R such that
f(t) = aⱼ + bⱼt for tⱼ₋₁ < t < tⱼ.
Let V be the real vector space of all real-valued continuous piecewise linear functions on [0,1] with nodes 1/4, 1/2, and 3/4. Then, the dimension of V equals _______.
IIT JAM Mathematics Official Mock Test
The candidates can attempt the official IIT JAM Mathematics mock test designed by IIT Delhi using the link given below.
The various questions from the IIT JAM maths question paper 2025 is available in the below ebook as well. The candidates are requested to go through them as well.
IIT JAM Mathematics question paper is moderately difficult, as it requires a deep understanding of concepts and strong problem-solving skills. The questions test theoretical knowledge, practical application, and analytical abilities.
2.Can I crack IIT JAM maths in 2 months?
Yes, it is possible to crack IIT JAM Mathematics in 2 months with focused and intensive preparation, though 4-6 months is ideal for thorough coverage. To succeed in 2 months, prioritize important topics, revise concepts regularly, and practice problem-solving daily. Mock tests and previous years' papers can help improve speed and accuracy in this limited time.
3.Is there a negative marking in IIT JAM Mathematics Question Paper?
Yes, there is a negative marking in IIT JAM Mathematics Paper for Section A. For each incorrect 1-mark question, 1/3 mark is deducted, and for each incorrect 2-mark question, 2/3 mark is deducted. However, Sections B and C do not have negative markings.
4.How long is IIT JAM valid?
IIT JAM scores are valid for one year. Candidates can use their scores during this period to apply for admission to postgraduate programs in IITs, NITs, and other participating institutes.
5.How long is the IIT JAM Mathematics exam?
The IIT JAM Mathematics exam is three hours long and the candidates must complete 100 questions divided into three sections within this time limit.
Congratulations on securing such a phenomenal rank...!!!
With 28.33 marks and AIR 1269 in JAM you have reasonable chance of securing admission in NITs and IISERs such as
NIT Trichy,
NIT Warangal
,
IISERs
and
NIT Surathkal.
To check if your rank of 2224 in JAM 2025 Math (GEN) is good enough for an NIT, it's important to look at the previous years' cutoffs and trends for Mathematics in various NITs. Generally, a rank like 2224 could allow admission to some NITs, especially in specific categories, but the chances depend heavily on the specific NIT and the course demand.
I would recommend checking the detailed JAM 2025 cutoff trends for Mathematics on the Careers360 website or consulting their JAM College Predictor to get a more precise idea based on recent data.
The IIT JAM (Joint Admission Test for Masters) is held annually for admission to postgraduate science programs at IITs, IISc, and other top institutes. The exam includes seven subjects: Physics, Chemistry, Mathematics, Mathematical Statistics, Biotechnology, Geology, and Economics.
The official syllabus for IIT JAM 2026 hasn't been released yet, but it generally stays the same each year. Based on IIT JAM 2025, here’s a rough idea of what to expect:
Physics
Mathematical Methods
Mechanics, Waves, and Optics
Electricity & Magnetism
Thermodynamics & Statistical Physics
Modern Physics & Solid-State Physics
Chemistry
Physical, Inorganic, and Organic Chemistry topics
Mathematics
Calculus, Linear Algebra, Differential Equations
Real Analysis, Vector Calculus, Group Theory
Biotechnology
Concepts from Biology, Chemistry, Mathematics, and Physics
Probability, Random Variables, Matrices, and Statistical Inference
Since the syllabus may have minor changes, it's best to keep an eye on the official IIT JAM website for updates. If you're preparing, focusing on past papers and the latest syllabus from IITs will be the smartest approach!
