A $4\,$kg body at rest is acted on by a force that delivers...

Constant power means the work done grows linearly with time: $W = Pt...

A solid sphere rolling without slipping at $7\;\text{m...

Total kinetic energy of a rolling solid sphere: $K = \tfrac12mv^2 +...

Two stars of masses $M$ and $2M$ orbit their common centre...

The centre of mass divides the separation inversely as the...

A particle in SHM of amplitude $A$ has kinetic energy three...

$U = \tfrac12kx^2$ and $K = \tfrac12k(A^2-x^2)$.Setting $K = 3U$...

An ideal gas is taken round a cycle: isothermal expansion...

Net work $=$ heat in $-$ heat out $= 600 - (250+150) =...

Oxygen gas ($M = 32\;\text{g mol}^{-1}$) is at $300\,$K...

$v_{rms} = \sqrt{\dfrac{3RT}{M}} =...

A ring of radius $10\,$cm carries charge $Q$ uniformly. The...

On the axis, $E = \dfrac{kQx}{(x^2+R^2)^{3/2}}$.Differentiating and...

A $4\,\mu$F capacitor charged to $200\,$V is connected...

Initial energy $= \tfrac12(4\times10^{-6})(200)^2 = 0.08\,$J $=...

How many questions are in the JEE Main Full Mock Test 12?

It has 75 questions and a time limit of 180 minutes.

Is the JEE Main Full Mock Test 12 free?

It costs Rs 2,000 for the whole series, which includes full worked solutions and a detailed score report.

Yes. After you submit, every question shows a step-by-step solution alongside your answer.

JEE Main Mock Test 12 | 75 Questions, 300 Marks

Q: Is there negative marking?

Yes. Each correct answer scores 4 and each wrong answer loses 1.

About this test

JEE Main Full Mock Test 12 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

Kinematics - relative motion in 2D Dynamics - block on accelerating wedge Work-energy - variable force and power Rotational - rolling up an incline Gravitation - binary system SHM - amplitude from energy split Thermodynamics - cyclic efficiency Kinetic theory - speed comparison Electrostatics - charged ring on axis Capacitors - energy after reconnection Current - temperature coefficient Magnetism - velocity selector EMI - mutual inductance calculation AC - average and rms of a half-wave Optics - two-lens system Wave optics - missing order in diffraction Photoelectric - stopping potential from two wavelengths Nuclear - Q value of a reaction Radioactivity - mixed decay Semiconductors - amplifier gain Kinematics - two-stage motion Rotational - torque and angular displacement Thermodynamics - adiabatic work Electrostatics - work in a field Optics - magnification chain Stoichiometry - mixture analysis Atomic structure - de Broglie for electron Thermodynamics - Hess with phase change Equilibrium - Kp from partial pressures Ionic equilibrium - pH after mixing Electrochemistry - equilibrium constant from E Kinetics - order from half-life data Solutions - van't Hoff factor from data Solid state - radius from edge length Gaseous state - partial pressure after reaction Coordination - CFSE calculation Organic - molecular formula from combustion Organic - identifying from reactions Organic - relative rate reasoning Organic - multi-step synthesis Inorganic - born haber reasoning Inorganic - oxidation state in a peroxo species Redox - volumetric calculation Biomolecules - peptide hydrolysis count Surface chemistry - gold number reasoning Stoichiometry - excess reagent Thermodynamics - internal energy from enthalpy Electrochemistry - mass from mixed cells Kinetics - Arrhenius two temperatures Solutions - osmotic pressure and molar mass Quadratic - roots in terms of parameter Sequences - AP and GP combined Binomial - ratio of consecutive terms Complex numbers - cube roots application Matrices - inverse of a product Limits - L Hopital twice Differentiation - inverse trigonometric Maxima - constrained optimisation Definite integration - king property Area - between two curves Differential equations - homogeneous Straight lines - locus Circles - common chord Parabola - focal chord property Hyperbola - conjugate relation Vectors - vector triple product 3D geometry - image in a plane Probability - at least one conditional Statistics - variance of combined groups Trigonometry - conditional identity Definite integration - symmetry Permutations - repeated letters Matrices - trace and determinant Sequences - sum of an AGP Probability - expectation

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 ships leave port together. Ship A sails north at $12\;\text{km h}^{-1}$; ship B sails on a bearing $30^\circ$ east of north at $16\;\text{km h}^{-1}$. Their separation after $2$ hours is closest to:

A) $14.2\;$km

B) $16.4\;$km

C) $18.6\;$km

D) $22.3\;$km

Q2. A block rests on a frictionless wedge of angle $37^\circ$. The wedge is accelerated horizontally so the block does not slide relative to it. Taking $g=10\;\text{m s}^{-2}$ and $\tan37^\circ = 0.75$, the required acceleration is:

A) $5.0\;\text{m s}^{-2}$

B) $7.5\;\text{m s}^{-2}$

C) $10.0\;\text{m s}^{-2}$

D) $13.3\;\text{m s}^{-2}$

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 - speed paper, heavier Section A.

JEE Main Full Mock Test 12