IIT JAM Maths Question Paper 2026: Download PDF With Solution

IIT JAM Maths 2026 Exam Pattern

The IIT JAM Math Exam 2026 was held on February 15, 2026 (Sunday) in computer-based test (CBT) mode across test centres in India. Below is the IIT JAM exam pattern 2026.

IIT JAM Maths Question Paper 2026 Analysis: Shift 1

The overall difficulty level of the Maths paper was moderate to difficult. While a section of candidates reported the paper as manageable, a larger share felt it was lengthy, with Part C emerging as the most challenging section. Time pressure played a significant role, particularly for candidates who struggled with integration-heavy problems.

Compared to previous years, the paper showed a shift in emphasis. Questions from applied maths increased, while those from real analysis were fewer. This change influenced both perceived difficulty and score distribution.

Topic-wise Analysis

1. Permutations and Combinations

• 3 questions appeared.

• These were largely easy and standard, involving familiar counting techniques.

• Despite being conceptually simple, they required careful reading to avoid logical errors.

2. Binomial Theorem

• 3 questions were reported.

• Difficulty level was moderate, mostly direct applications of binomial identities.

• This section acted as a reliable scoring area.

3. Group Theory

• Group theory featured prominently.

• Questions were reported as easy to moderate, focusing on basic properties rather than abstract constructions.

• Candidates with clear conceptual foundations found this section comfortable.

4. Integral Calculus

• Questions from integration were consistently described as tough.

• At least one definite integration problem required non-trivial manipulation.

• This section significantly contributed to the paper feeling lengthy and demanding.

5. Ordinary Differential Equations (ODE) and First Order Equations (FOE)

• Widely regarded as too easy.

• Questions involved direct application of standard solution methods.

• These served as confidence boosters, especially in contrast to integration.

6. Functions of Several Variables

• Questions from this topic were present and described as lengthy or “essay-type”, requiring multi-step reasoning.

• Though not conceptually hard, they were time-consuming, particularly in Part C.

7. Functions of a Single Variable

• 1 to 2 questions appeared.

• These were easy, involving basic limits or continuity-related ideas.

• Well-prepared candidates could solve them quickly.

8. Matrices and Idempotent Matrices

• 1 question from matrices and 1 from idempotent matrices were reported.

• Both were concept-based and straightforward, testing theoretical understanding rather than computation.

9. Systems of Equations

• A question involving infinite solutions, requiring determination of parameters (such as aaa and bbb), appeared.

• This tested rank conditions and consistency, aligning well with JAM standards.

10. Applications of Derivatives

• A radius of curvature question was included.

• This was standard but required accurate differentiation and formula recall.

11. Series and Real Analysis

• No questions from series or convergence were reported.

• Overall, real analysis had fewer questions than usual, marking a notable deviation from earlier trends.

12. Statistics

• Limited presence, but at least one question was indicated by student feedback.

Responses from students reflected mixed reactions. Some candidates felt the paper was easier after completion, while others maintained that it was overall tough, primarily due to length and integration-heavy sections. A common observation was that easy algebra and ODE questions balanced tougher calculus problems, leading to a paper that was selective but fair. The IIT JAM Maths 2026 paper emphasised applied maths, algebra, and calculus, with reduced focus on real analysis and series. Success depended less on memorisation and more on conceptual clarity, speed, and endurance, particularly in Part C. Candidates strong in algebra and differential equations gained an advantage, while integration remained the key differentiator.

IIT JAM Question Paper 2026 with Solutions PDF

Referring to the IIT JAM Maths question paper with answers PDF will help students understand the overall difficulty of the IIT 2026 JAM Maths question paper.

IIT JAM Maths 2026 Memory-Based Questions

Question 1

Using combinations, evaluate the following sum and determine its nature:

ε₀ + ε₁ + ε₂ + ε₃ + ε₄ + ε₅ + ε₆

Determine whether the resulting value belongs to ℕ (natural numbers).

Question 2

Which of the following statements are false?

A. S₃ is a subgroup of S₄

B. ℤ₃ is a subgroup of S₄

C. S₃ is a quotient group of S₄

D. ℤ₆ is a quotient group of S₄

Question 3

Find the number of group homomorphisms from ℤₙ to ℤ₃₀.

Question 4

The general solution of a differential equation is

y(x) = C₁e⁻ˣ + C₂e²ˣ + γxe⁻ˣ

If y(x) satisfies

d²y/dx² + α dy/dx + βy = −e⁻ˣ

find the value of α(β + γ).

Question 5

Find the limit as n → ∞ of the sequence

√(n+1) / √(n² + 1)

√(n+2) / √(n² + 2)

√(n+3) / √(n² + 3)

…

√(2n) / √(n² + n)

Also determine whether the limit belongs to ℕ.

Question 6

Let G = P(ℕ), the power set of ℕ, with the operation

A ⊕ B = (A ∪ B) − (A ∩ B)

Which of the following statements are true?

A. G is abelian but not cyclic

B. G has an element of order 4

C. G has an element of order 8

D. ∅ is the identity element of G

IIT JAM Maths Official Mock Test

The Indian Institute of Technology, Bombay, has created an IIT JAM Maths mock test 2026 for the IIT JAM Maths aspirants. It follows the same IIT JAM Maths exam syllabus and the difficulty levels. The candidates are strongly advised to attempt the official mock test to assess their preparation levels and make any changes to it if necessary.

IIT JAM Maths Previous Year Question Papers with Solutions PDF Link

Maths in the IIT JAM Syllabus 2026 develops analytical and problem-solving abilities across topics like Linear Algebra, Real Analysis, Differential Equations, and Multivariable Calculus. To score well in IIT JAM 2026, candidates need strong conceptual clarity and practical application skills. Practising the IIT JAM Maths question paper 2025 is an effective way to strengthen preparation and improve accuracy. Get the IIT JAM Maths Previous Year Question Papers download link from the table below.

Key Topics from IIT JAM Maths (Must-Prepare for 2026)

Based on last year’s question distribution, these are the high-weightage and frequently repeated topics expected to appear again in IIT JAM Maths 2026: