Three capacitors of $2\,\mu$F, $3\,\mu$F and $6\,\mu$F are...

First combine the parallel pair, where capacitances add...

A brass rod is $1.0\,$m long at $0\,^\circ$C. Its length at...

Linear expansion follows $L = L_0(1 + \alpha\Delta T)$.$\alpha\Delta...

In a Young double slit experiment the slits are $0.50\,$mm...

Fringe width is $\beta = \dfrac{\lambda D}{d}$.Converting to metres...

In single slit diffraction with slit width $a$ and...

Divide the slit into two halves. The first minimum occurs when each...

$a\sin\theta = \dfrac{\lambda}{2}$

$a\sin\theta = \dfrac{3\lambda}{2}$

The period of oscillation of a liquid drop depends on its...

Write the dimensions: $[t] = \mathrm{T}$, $[\rho] =...

Two resistors of $4\,\Omega$ and $6\,\Omega$ are connected...

In parallel both resistors share the same potential difference...

A wire carrying $4.0\,$A is bent into a quarter circle of...

A full circular loop gives $B = \dfrac{\mu_0 I}{2R}$ at its centre...

A particle in SHM has amplitude $A$ and angular frequency...

The speed at displacement $x$ is $v = \omega\sqrt{A^2 - x^2}$.Setting...

How many questions are in the JEE Main mock test 16 - full NTA pattern paper?

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

Is the JEE Main mock test 16 - full NTA pattern paper 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 16 | 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 mock test 16 - 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

Collisions - coefficient of restitution Centre of mass - shifting after removal Capacitors - network reduction Thermal expansion - differential expansion of a bimetallic pair Wave optics - Young double slit fringe width Wave optics - single slit diffraction minimum Dimensional analysis - predicting a formula Current electricity - power in a combination Magnetism - field at the centre of a current arc Simple harmonic motion - phase and velocity Gravitation - geostationary orbit radius Modern physics - Bohr model angular momentum Thermodynamics - heat capacity ratio from a mixture Rotational motion - angular momentum of a rolling body Electrostatics - work done moving a charge Fluid mechanics - pressure at depth with two liquids Waves - speed of sound and temperature Semiconductors - energy gap and conduction Kinematics - relative velocity of approach Electromagnetic induction - Lenz law direction Work and energy - power of a lifting motor Optics - magnification by a concave mirror Modern physics - activity and decay constant Alternating current - rms value of a sinusoid Elasticity - Poisson ratio and lateral strain Equilibrium - reaction quotient versus K Solutions - Raoult law for two volatile liquids Coordination - crystal field splitting energy Redox titration - normality and volume Kinetics - pseudo first order conditions Thermodynamics - entropy change of a phase transition Atomic structure - shielding and effective nuclear charge Electrochemistry - emf and concentration Organic - hyperconjugation and cation stability Stoichiometry - molarity after dilution Organic - Hofmann versus Saytzeff orientation Gaseous state - partial pressure in a mixture Inorganic - inert pair effect Solid state - fraction of voids occupied Biomolecules - vitamin solubility Kinetics - fraction remaining after several half lives Organic - Markovnikov addition with a mass calculation Ionic equilibrium - degree of hydrolysis Inorganic - interhalogen compound shapes Thermodynamics - heat at constant pressure Electrochemistry - equivalent conductance at infinite dilution Stoichiometry - molecular formula from empirical data Atomic structure - number of neutrons Solutions - molality from molarity and density Thermodynamics - lattice enthalpy from a Born Haber cycle Determinants - evaluation by row operations Tangents and normals - normal to a curve Probability - conditional with dependent draws Definite integration - area between a parabola and a line Sequences - sum of an arithmetico series Complex numbers - conjugate and reciprocal Matrices - product and commutativity Straight lines - foot of the perpendicular Limits - rationalising a surd Vectors - condition for perpendicularity Trigonometry - solving a quadratic in sine Differentiation - chain rule with a composite Circles - condition for orthogonal circles Statistics - effect of an outlier on mean and median Permutations - selections with a condition 3D geometry - direction cosines Functions - composition and domain Differential equations - order of a family Binomial theorem - general term with a negative power Sets and relations - number of subsets Definite integration - substitution Probability - complement of at least one Matrices - determinant of a triangular matrix Sequences - nth term of a geometric progression Application of derivatives - rate of change of area

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. A ball dropped from a height of $5.0\,$m rebounds to $1.8\,$m. The coefficient of restitution between ball and floor is:

A) $0.36$

B) $0.60$

C) $0.72$

D) $0.80$

Q2. A uniform disc of radius $R$ has a circular hole of radius $\dfrac{R}{2}$ cut out, the hole touching the centre and the rim. The centre of mass of the remaining part lies at a distance from the original centre of:

A) $\dfrac{R}{6}$

B) $\dfrac{R}{4}$

C) $\dfrac{R}{3}$

D) $\dfrac{R}{2}$

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?

Waves, chemical kinetics and 3D geometry emphasis.

JEE Main mock test 16 - full NTA pattern paper