IIT JAM 2025 Mathematics Question Paper

The 2025 Mathematics paper is the MA paper, not Mathematical Statistics. It combines calculus and algebra rather than treating mathematics as a supporting section for another subject. The Mathematics solutions follows the corresponding questions.

Sequences, matrices and functions need careful attention to the conditions. A claim about all real values is stronger than a claim at one point. In a multiple-select question, a counterexample can rule out an option even when it appears true for the first few values you try.

The later questions include finite groups and homomorphisms. For these, identify the group operation, possible element orders and the image of a map before calculating. The fact that two groups have the same number of elements does not make them isomorphic. Keep these algebra errors separate from a calculation slip when reviewing your attempt.

IIT JAM 2025 Mathematical Statistics Question Paper

The Mathematical Statistics paper with worked solutions covers sequences, matrices, random variables, probability distributions and statistical inference. Binomial, Poisson and normal-distribution questions require their own assumptions; using a familiar formula without checking the distribution can change the answer.

Correction to the MS cover: JAM 2025 had 60 questions, 100 marks and a three-hour duration. Candidates used the on-screen calculator; personal calculators were not allowed.

Mathematics and Mathematical Statistics share some foundations, but their papers are not interchangeable. In MS, a question about a sample may require an estimator, a test statistic or a sampling probability. Check whether the variables are independent, whether the population parameters are known, and whether the question asks for a distribution or a numerical value. The MS solutions gives question-wise explanations.

IIT JAM 2025 Physics Question Paper

The Physics paper starts with a surface-integral question and includes collisions, vector fields, electric flux, capacitors, optics and radioactive decay. The final questions cover interplanar spacing and gas mean free path. The Physics solutions provides the matching explanations.

Several problems depend on a diagram. Read the direction of a field, the position of a charge and the boundaries of a medium from the original figure before writing an equation. A text-only transcription can lose the sign or geometry that distinguishes two choices.

For numerical questions, convert all lengths and temperatures to a consistent unit system before substitution. In a mean-free-path calculation, for example, the molecular diameter is squared; using nanometres as though they were metres changes the result by many orders of magnitude. Round the final value to the precision requested in the question.

IIT JAM 2025 Chemistry Question Paper

The Chemistry paper includes physical, inorganic and organic chemistry, with basic mathematics also part of the 2025 syllabus. Its opening questions ask about the maximum of a function and a selection probability. IIT Delhi added a basic mathematical concepts section at the Class 12 level to the revised Chemistry syllabus.

Other questions include ore concentration, crystal systems and electrochemistry. In a crystal-system problem, check both the edge lengths and the angles. In an electrochemical calculation, identify the number of electrons transferred and keep the potential and its temperature derivative in compatible units.

The Chemistry solutions explains the questions in sequence. When reviewing an incorrect answer, distinguish a missing chemistry concept from an algebra or unit-conversion error. Those need different revision: a formula sheet will not resolve a misunderstood reaction mechanism.

IIT JAM 2025 Biotechnology Question Paper

The Biotechnology paper goes beyond biology recall. Molecular biology and biochemical concepts appear alongside physics, chemistry and mathematics. The paper includes a restriction-enzyme calculation and a related-rates problem involving a cube.

For a molecular-biology calculation, identify the molecule, recognition sequence and quantity requested before choosing a probability model. For a geometry-rate question, write the area or volume as a function of length, then use the chain rule to find its rate of change. Substituting a changing length into a static formula is not enough.

The Biotechnology solutions explains the biological reasoning and numerical steps.

IIT JAM 2025 Economics Question Paper

The Economics paper brings economic concepts together with statistical and mathematical reasoning. Its opening questions include skewed distributions and the Narasimham Committee. A later numerical question asks for the determinant of a matrix power.

The mathematical part is not limited to lengthy calculations. Matrix properties can simplify a question before multiplication: det(A raised to n) equals det(A) raised to n. In economic models, first identify the assumptions and what is held constant; a change in one variable does not always mean a movement of the entire curve.

Use the Economics solutions with the 2025 wording. A policy question tied to a particular year should be answered for that historical setting, not by replacing it with a later announcement.

IIT JAM 2025 Geology Question Paper

The Geology paper includes mineral identification, igneous and metamorphic rocks, stratigraphy, fossils and geomorphology. It also tests geological maps, structural diagrams and numerical calculations. The Geology solutions follows the matching paper.

Map and structural questions require the figure as well as the statement. Apparent dip, true dip, strike direction, throw and heave are different quantities. Marking the relevant directions on the sketch is more useful than applying a trigonometric formula before deciding which angle is given.

The numerical questions include grain magnification, radioactive half-lives, ore quantities and groundwater extraction. Keep the requested unit visible through the calculation: millimetres to micrometres, tonnes to mass of metal, or area multiplied by water-table drop and drainable pore fraction. These are concrete ways to locate an error after comparing with the solution.

IIT JAM 2025 Paper Structure and Marking

Each subject had 60 questions for 100 marks in three hours. Section A used single-answer MCQs, Section B used multiple-select questions and Section C required a numerical entry. The medium was English.

For an MSQ, select every correct option and no incorrect option. A question can have one or more correct choices; do not select an extra choice merely because the heading says multiple select. Leaving any question unanswered gives zero.

A numerical answer may be a signed real number. Keep enough precision during intermediate calculations and follow the rounding instruction in the question. A solution rounded for display and the accepted answer range serve different purposes.

Worked score: eight correct 1-mark MCQs and twelve correct 2-mark MCQs give 32 marks. Three wrong 1-mark MCQs and three wrong 2-mark MCQs deduct 3, leaving 29. Six correct MSQs add 12. Seven correct 1-mark NATs and five correct 2-mark NATs add 17. The total is 58 out of 100, not simply a percentage of correct answers.

Using the 2025 Papers for Current Preparation

The 2026 subject-wise syllabus guide includes the topics covered in each subject. Compare the syllabus for your exam year with the 2025 paper when planning revision.

For a timed attempt, use the question file first and keep the worked solutions closed. Apply the MCQ deductions afterward, and review MSQs option by option. A correct method with an arithmetic slip needs a different correction from choosing the wrong model or theorem.

Limits, variance, matrix properties and decay involve different calculation methods. In variance problems, square the coefficient of each random variable; in a decay problem, distinguish the fraction remaining from the fraction that has decayed.