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JEE Main Mathematics 2027 Rs 2,000

JEE Main mock test 15 - full NTA pattern paper

JEE Main mock test 15 on the exact NTA pattern: 75 questions, 300 marks, 180 minutes, negative marking on Section B. Full syllabus.

75Questions
180Minutes
300Marks
-1 Negative
11-12Grades

About this test

JEE Main mock test 15 - full NTA pattern paper is a full 75-question paper you attempt online in 180 minutes. It follows the Joint Entrance Examination Main pattern, so the timing, the question style and the marking match the real exam. Each correct answer scores 4 and each wrong answer loses 1. Guessing carries a real cost, exactly as it does on the day.

You get your score the moment you submit, question by question, with a step-by-step solution to every problem. NTA pattern, three subjects, negative marking.

What it covers

Pulley systems - constrained acceleration Electrostatics - field on the axis of a charged ring Thermodynamics - Carnot engine driving a refrigerator Damped oscillations - amplitude decay Modern physics - photoelectric threshold from two wavelengths Rotational motion - parallel axis theorem Magnetism - force between parallel currents Alternating current - power factor and real power Waves - superposition and standing wave nodes Gravitation - variation of g with altitude Optics - resolving power and Rayleigh criterion Current electricity - shunt for an ammeter Kinetic theory - mean free path Elasticity - energy stored in a stretched wire Semiconductors - intrinsic and extrinsic carriers Centre of mass - motion during an explosion Calorimetry - heat required with a phase change Fluid mechanics - Venturi and continuity Error analysis - least count and relative error Electromagnetic induction - self inductance of a solenoid Projectile motion - maximum range on an incline Electrostatics - capacitors in series with a dielectric Modern physics - nuclear binding energy difference Rotational motion - torque and angular momentum Waves - fundamental frequency of a stretched string Thermochemistry - Hess law with three equations Kinetics - order from initial rate data Electrochemistry - electrolysis with two cells in series Equilibrium - degree of dissociation from vapour density Ionic equilibrium - pH of a salt of weak acid and strong base Solutions - elevation of boiling point with an electrolyte Atomic structure - quantum numbers and orbital count Coordination - isomer counting Stoichiometry - concentration of a mixed solution Organic - ozonolysis product identification Organic - SN1 versus SN2 with a numerical clue Gaseous state - van der Waals correction Solid state - void occupancy in close packing Thermodynamics - work in an irreversible expansion Inorganic - polarising power and covalent character Mole concept - molecules in a gas volume Organic - Huckel rule and pi electron count Surface chemistry - adsorption from the Freundlich plot Biomolecules - denaturation and structure Electrochemistry - Gibbs energy from cell emf Kinetics - integrated first order with percentage Stoichiometry - volume of gas from a reaction Atomic structure - energy of a Bohr transition Solutions - mole fraction from molality Thermodynamics - internal energy from enthalpy Inverse trigonometry - principal value range Definite integration - by parts twice Application of derivatives - Rolle and Lagrange Probability - Bayes with three sources Matrices - solving with the adjoint Circles - length of a tangent from an external point Parabola - focal chord property Vectors - component along another vector Sequences - sum of an infinite geometric series Complex numbers - cube roots and modulus Straight lines - concurrency of three lines Differentiation - logarithmic differentiation Statistics - combined mean of two groups Permutations - circular arrangements Sets and relations - number of functions 3D geometry - angle between two lines Limits - one sided and greatest integer Differential equations - variable separable with initial condition Binomial theorem - ratio of consecutive coefficients Trigonometry - range of a combined function Definite integration - even function symmetry Probability - expected number of successes Matrices - solving a linear system by substitution Sequences - number of terms in an AP Application of derivatives - maximum area of a rectangle

Sections

  • Physics - Section A — 20 questions
  • Physics - Section B — 5 questions
  • Chemistry - Section A — 20 questions
  • Chemistry - Section B — 5 questions
  • Mathematics - Section A — 20 questions
  • Mathematics - Section B — 5 questions

Difficulty spread

  • 75 hard questions

Before you start

Pattern. 75 questions, 300 marks, 180 minutes. Each of Physics, Chemistry and Mathematics has 20 multiple-choice questions (Section A) and 5 numerical-answer questions (Section B), for 100 marks per subject.

Marking. +4 for a correct answer, −1 for an incorrect answer, 0 if unattempted. Negative marking applies to Section B as well — numerical questions are not risk-free, and this is where unit and sign errors concentrate.

Section B is compulsory. All 5 numerical questions in each subject must be attempted. The “any 5 of 10” arrangement ended with the COVID-era papers.

Before you start. Phone in another room, single screen, no reference material. Sit the full 180 minutes in one session — a paper taken in pieces measures nothing.

A look at the questions

Q1. Two blocks of masses $3\,$kg and $5\,$kg hang from the two ends of a light inextensible string passing over a frictionless pulley. The tension in the string, in newtons, is closest to: (take $g = 10\,$m s$^{-2}$)
A) $30$
B) $37.5$
C) $40$
D) $50$
Q2. A ring of radius $R$ carries a uniformly distributed charge $Q$. The axial distance at which the electric field is maximum is:
A) $\dfrac{R}{2}$
B) $\dfrac{R}{\sqrt2}$
C) $R$
D) $R\sqrt2$
73 more questions in the full paper, each with a worked solution.

Questions people ask

How many questions and how long?

75 questions in 180 minutes for 300 marks - 20 multiple-choice and 5 numerical in each of Physics, Chemistry and Mathematics.

Is there negative marking on the numerical questions?

Yes. +4 correct, -1 incorrect, 0 unattempted, and that applies to Section B as well as Section A.

What does this paper focus on?

Full syllabus.

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