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JEE Main 2024 29th January Evening Shift

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Main 2024 29th January Evening Shift paper, question by question. Each question shows a quick preview so you can jump straight to the topic or subject you want to revise. Click through to attempt the full question in practice mode, or head back to the paper-wise list to download the entire shift as a PDF.

This paper has 90 questions in total - 40 easy (44%), 42 moderate (47%) and 8 tough (9%). That's an easier-than-usual mix for this exam - aim to clear it quickly and save time for the harder papers. By subject: Chemistry 43% easy, 50% moderate, 7% tough; Physics 50% easy, 40% moderate, 10% tough; Mathematics 40% easy, 50% moderate, 10% tough.

Chemistry questions were spread across 19 chapters, with General Organic Chemistry (5), Chemical Bonding and Molecular Structure (3), and Practical Chemistry (3) carrying the most weight. Mathematics questions were spread across 24 chapters, with Application of Derivatives (2), Complex Number (2), and Sequences and Series (2) carrying the most weight. Physics questions were spread across 21 chapters, with Alternating Current (2), Atomic Physics (2), and Current Electricity (2) carrying the most weight.

Chemistry

  1. 1Match List I with List II Choose the correct answer from the options given below :-29 Jan, 2024 (E)Hydrogen spectrum
  2. 2The element having the highest first ionization enthalpy is29 Jan, 2024 (E)Periodic properties
  3. 3Given below are two statements: Statement I: Fluorine has most negative electron gain enthalpy in its group. Statement II: Oxygen has least 29 Jan, 2024 (E)Periodic properties
  4. 4The total number of molccules with zero dipole moment among CH 4 , BF 3 , H 2 O , HF , NH 3 , CO 2 and SO 2 is ______.29 Jan, 2024 (E)Dipole moment
  5. 5The total number of 'Sigma' and Pi bonds in 2-formylhex-4-enoic acid is29 Jan, 2024 (E)Covalent and Co-ordinate Bonding
  6. 6The total number of anti bonding molecular orbitals, formed from 2 s and 2 p atomic orbitals in a diatomic molecule is _____________.29 Jan, 2024 (E)Molecular Orbital Theory
  7. 7Standard enthalpy of vapourisation for CCl 4 is 30 . 5 kJ mol - 1 . Heat required for vapourisation of 284 g of CCl 4 at constant temperatur29 Jan, 2024 (E)Laws of Thermochemistry and Enthalpy Change
  8. 8The following concentrations were observed at 500 K for the formation of NH 3 from N 2 and H 2 . At equilibrium : N 2 = 2 × 10 - 2 M , H 2 =29 Jan, 2024 (E)Law of Mass Action, Equilibrium Constant (Kc and Kp) and its Application
  9. 9If 50 mL of 0 . 5 M oxalic acid is required to neutralise 25 mL of NaOH solution, the amount of NaOH in 50 mL of given NaOH solution is_____29 Jan, 2024 (E)Redox titration
  10. 10According to IUPAC system, the compound is named as:29 Jan, 2024 (E)IUPAC Nomenclature
  11. 11The ascending acidity order of the following H atoms is29 Jan, 2024 (E)Electron displacement effects
  12. 12Match List I with List II Choose the correct answer from the options given below:29 Jan, 2024 (E)Electron displacement effects
  13. 13Which one of the following will show geometrical isomerism?29 Jan, 2024 (E)Isomerism of Organic Compounds
  14. 14Chromatographic technique/s based on the principle of differential adsorption is/are A. Column chromatography B. Thin layer chromatography C29 Jan, 2024 (E)Purification of Organic Compounds
  15. 15Molality of 0 . 8 M H 2 SO 4 solution (density 1 . 06 g cm - 3 ) is _______ × 10 - 3 m . Round off your answer to the nearest integer.29 Jan, 2024 (E)Solubility and Concentration of Solutions
  16. 16A constant current was passed through a solution of AuCl 4 - ion between gold electrodes. After a period of 10 . 0 minutes, the increase in 29 Jan, 2024 (E)Cells and Electrode Potential, Nernst Equation
  17. 17The half-life of radioisotopic bromine - 82 is 36 hours. The fraction which remains after one day is _________ × 10 - 2 . (Given antilog 0 .29 Jan, 2024 (E)Integrated rate laws
  18. 18Anomalous behaviour of oxygen is due to its29 Jan, 2024 (E)Oxygen and Its Compounds
  19. 19Which of the following acts as a strong reducing agent? (Atomic number : Ce = 58 , Eu = 63 , Gd = 64 , Lu = 71 )29 Jan, 2024 (E)F-Block elements
  20. 20Which of the following statements are correct about Zn , Cd and Hg ? A. They exhibit high enthalpy of atomization as the d-subshell is full.29 Jan, 2024 (E)Properties of D-block elements
  21. 21The correct IUPAC name of K 2 MnO 4 is:29 Jan, 2024 (E)Nomenclature of coordination compounds
  22. 22Alkyl halide is converted into alkyl isocyanide by reaction with29 Jan, 2024 (E)Preparation and Properties of Monohalides
  23. 23Phenol treated with chloroform in presence of sodium hydroxide, which further hydrolysed in presence of an acid results29 Jan, 2024 (E)Reactions of Phenol
  24. 24Identify the reagents used for the following conversion29 Jan, 2024 (E)Chemical reactions for aldehydes and ketones
  25. 25Which of the following reaction is correct?29 Jan, 2024 (E)Preparation and Properties of Amines
  26. 26The product A formed in the following reaction is:29 Jan, 2024 (E)Preparation and Properties of Amines
  27. 27Match List I with List II Choose the correct answer from the options given below :-29 Jan, 2024 (E)Disaccharides and Polysaccharides
  28. 28On passing a gas, ' X ', through Nessler's reagent, a brown precipitate is obtained. The gas ' X ' is29 Jan, 2024 (E)Preliminary Tests
  29. 29A reagent which gives brilliant red precipitate with Nickel ions in basic medium is29 Jan, 2024 (E)Preliminary Tests
  30. 30Oxidation state of Fe(Iron) in complex formed in Brown ring test.29 Jan, 2024 (E)Preliminary Tests

Mathematics

  1. 1Let the set C = ( x , y ) ∣ x 2 - 2 y = 2023 , x , y ∈ ℕ . Then ∑ ( x , y ) ∈ C ( x + y ) is equal to _______.29 Jan, 2024 (E)Relation between Roots and Coefficients
  2. 2Let r and θ respectively be the modulus and amplitude of the complex number z = 2 - i 2 tan 5 π 8 , then ( r , θ ) is equal to29 Jan, 2024 (E)Euler Form and De Moivres Theorem
  3. 3Let α , β be the roots of the equation x 2 - 6 x + 3 = 0 such that Im ( α ) Im ( β ) . Let a , b be integers not divisible by 3 and n be a n29 Jan, 2024 (E)Euler Form and De Moivres Theorem
  4. 4Number of ways of arranging 8 identical books into 4 identical shelves where any number of shelves may remain empty is equal to29 Jan, 2024 (E)Division of Identical items
  5. 5If log e a , log e b , log e c are in an A . P . and log e a - log e 2 b , log e 2 b - log e 3 c , log e 3 c - log e a are also in an A . P 29 Jan, 2024 (E)Arithmetic Progression
  6. 6If each term of a geometric progression a 1 , a 2 , a 3 , … with a 1 = 1 8 and a 2 ≠ a 1 , is the arithmetic mean of the next two terms and 29 Jan, 2024 (E)Geometric Progression
  7. 7Remainder when 64 32 32 is divided by 9 is equal to _____.29 Jan, 2024 (E)Remainder and Divisibility Problems
  8. 8The sum of the solutions x ∈ R of the equation 3 cos 2 x + cos 3 2 x cos 6 x - sin 6 x = x 3 - x 2 + 6 is29 Jan, 2024 (E)Solving Trigonometric Equation
  9. 9Let A be the point of intersection of the lines 3 x + 2 y = 14 , 5 x - y = 6 and B be the point of intersection of the lines 4 x + 3 y = 8 ,29 Jan, 2024 (E)Point and Line
  10. 10The distance of the point ( 2 , 3 ) from the line 2 x - 3 y + 28 = 0 , measured parallel to the line 3 x - y + 1 = 0 , is equal to29 Jan, 2024 (E)Point and Line
  11. 11Let P ( α , β ) be a point on the parabola y 2 = 4 x . If P also lies on the chord of the parabola x 2 = 8 y whose mid point is 1 , 5 4 , th29 Jan, 2024 (E)Chord with given Middle Point
  12. 12Let the slope of the line 45 x + 5 y + 3 = 0 be 27 r 1 + 9 r 2 2 for some r 1 , r 2 ∈ R . Then lim x → 3 ∫ 3 x 8 t 2 3 r 2 x 2 - r 2 x 2 - r29 Jan, 2024 (E)Miscellaneous
  13. 13If the mean and variance of five observations are 24 5 and 194 25 respectively and the mean of first four observations is 7 2 , then the var29 Jan, 2024 (E)Measures of Dispersion
  14. 14If R is the smallest equivalence relation on the set { 1 , 2 , 3 , 4 } such that { ( 1 , 2 ) , ( 1 , 3 ) } ⊂ R , then the number of elements29 Jan, 2024 (E)Questions on Symmetric Transitive and Reflexive Properties
  15. 15Let A = 2 1 2 6 2 11 3 3 2 and P = 1 2 0 5 0 2 7 1 5 . The sum of the prime factors of P - 1 AP - 2 I is equal to29 Jan, 2024 (E)Inverse of a Matrix
  16. 16Let for any three distinct consecutive terms a , b , c of an A.P, the lines a x + b y + c = 0 be concurrent at the point P and Q ( α , β ) b29 Jan, 2024 (E)System of Linear Equations
  17. 17Let x = m n ( m , n are co-prime natural numbers) be a solution of the equation cos 2 sin - 1 x = 1 9 and let α , β ( α β ) be the roots of 29 Jan, 2024 (E)Multiple Angles
  18. 18Let f x = lim r → x 2 r 2 ( f ( r ) ) 2 - f ( x ) f ( r ) r 2 - x 2 - r 3 e f ( r ) r be differentiable in ( - ∞ , 0 ) ∪ ( 0 , ∞ ) and f ( 129 Jan, 2024 (E)Differentiability
  19. 19Let y = log e 1 - x 2 1 + x 2 , - 1 x 1 . Then at x = 1 2 , the value of 225 y ' - y " is equal to29 Jan, 2024 (E)Higher order derivatives
  20. 20The function f x = 2 x + 3 x 2 3 , x ∈ R , has29 Jan, 2024 (E)Maxima Minima
  21. 21The function f x = x x 2 - 6 x - 16 , x ∈ ℝ - - 2 , 829 Jan, 2024 (E)Monotonicity
  22. 22If ∫ sin 3 2 x + cos 3 2 x sin 3 x cos 3 x sin ( x - θ ) d x = A cos θ tan x - sin θ + B cos θ - sin θ cot x + C , where C is the integratio29 Jan, 2024 (E)Integration by Substitution
  23. 23If ∫ π 6 π 3 1 - sin 2 x d x = α + β 2 + γ 3 , where α , β and γ are rational numbers, then 3 α + 4 β - γ is equal to _____.29 Jan, 2024 (E)Properties of Definite Integration
  24. 24Let the area of the region { ( x , y ) : 0 ≤ x ≤ 3 , 0 ≤ y ≤ min x 2 + 2 , 2 x + 2 be A . Then 12 A is equal to ______.29 Jan, 2024 (E)Area of Curve along axis
  25. 25If sin y x = log e | x | + α 2 is the solution of the differential equation x cos y x d y d x = y cos y x + x and y ( 1 ) = π 3 , then α 2 i29 Jan, 2024 (E)Homogeneous DE
  26. 26Let OA → = a → , OB → = 12 a → + 4 b → and OC → = b → , where O is the origin. If S is the parallelogram with adjacent sides OA and OC , the29 Jan, 2024 (E)Product of 2 vectors
  27. 27Let a unit vector u ^ = x i ^ + y j ^ + z k ^ make angles π 2 , π 3 and 2 π 3 with the vectors 1 2 i ^ + 1 2 k ^ , 1 2 j ^ + 1 2 k ^ and 1 229 Jan, 2024 (E)Product of 2 vectors
  28. 28Let P ( 3 , 2 , 3 ) , Q ( 4 , 6 , 2 ) and R ( 7 , 3 , 2 ) be the vertices of ∆ PQR . Then, the angle ∠ QPR is29 Jan, 2024 (E)Line in Space
  29. 29Let O be the origin, and M and N be the points on the lines x - 5 4 = y - 4 1 = z - 5 3 and x + 8 12 = y + 2 5 = z + 11 9 respectively such 29 Jan, 2024 (E)Line in Space
  30. 30An integer is chosen at random from the integers 1 , 2 , 3 , . . . . . , 50 . The probability that the chosen integer is a multiple of atlea29 Jan, 2024 (E)Addition and Subtraction Theorems

Physics

  1. 1A physical quantity Q is found to depend on quantities a , b , c by the relation Q = a 4 b 3 c 2 . The percentage error in a , b and c are 329 Jan, 2024 (E)Errors of Measurement
  2. 2A particle is moving in a straight line. The variation of position x as a function of time t is given as x = t 3 - 6 t 2 + 20 t + 15 m . The29 Jan, 2024 (E)Rest and Motion
  3. 3A stone of mass 900 g is tied to a string and moved in a vertical circle of radius 1 m making 10 rpm . The tension in the string, when the s29 Jan, 2024 (E)Equilibrium of Forces
  4. 4A particle is moving in a circle of radius 50 cm in such a way that at any instant the normal and tangential components of its acceleration 29 Jan, 2024 (E)Non-uniform Circular Motion
  5. 5The bob of a pendulum was released from a horizontal position. The length of the pendulum is 10 m . If it dissipates 10 % of its initial ene29 Jan, 2024 (E)Energy
  6. 6A bob of mass m is suspended by a light string of length L . It is imparted a minimum horizontal velocity at the lowest point A such that it29 Jan, 2024 (E)Energy
  7. 7A body of mass 5 kg moving with a uniform speed 3 2 m s - 1 in X - Y plane along the line y = x + 4 . The angular momentum of the particle a29 Jan, 2024 (E)Angular momentum and Angular impulse
  8. 8A planet takes 200 days to complete one revolution around the Sun. If the distance of the planet from Sun is reduced to one fourth of the or29 Jan, 2024 (E)Kepler laws
  9. 9A wire of length L and radius r is clamped at one end. If its other end is pulled by a force F , its length increases by l . If the radius o29 Jan, 2024 (E)Young's Modulus and Breaking Stres
  10. 10Two metallic wires P and Q have same volume and are made up of same material. If their area of cross sections are in the ratio 4 : 1 and for29 Jan, 2024 (E)Young's Modulus and Breaking Stres
  11. 11A small liquid drop of radius R is divided into 27 identical liquid drops. If the surface tension is T , then the work done in the process w29 Jan, 2024 (E)Surface tension
  12. 12The temperature of a gas having 2 . 0 × 10 25 molecules per cubic meter at 1 . 38 atm (Given, k = 1 . 38 × 10 - 23 J K - 1 ) is :29 Jan, 2024 (E)Gas Laws
  13. 13N moles of a polyatomic gas ( f = 6 ) must be mixed with two moles of a monoatomic gas so that the mixture behaves as a diatomic gas. The va29 Jan, 2024 (E)Degree of Freedom and Specific Heat
  14. 14A simple harmonic oscillator has an amplitude A and time period 6 π second. Assuming the oscillation starts from its mean position, the time29 Jan, 2024 (E)Simple Harmonic Motion
  15. 15An electric field is given by ( 6 i ^ + 5 j ^ + 3 k ^ ) N C - 1 . The electric flux through a surface area 30 i ^ m 2 lying in YZ-plane(in S29 Jan, 2024 (E)Electric Flux and Gauss Law
  16. 16In the given circuit, the current in resistance R 3 is:29 Jan, 2024 (E)Resistance and Resistivity
  17. 17In the given circuit, the current flowing through the resistance 20 Ω is 0 . 3 A , while the ammeter reads 0 . 9 A . The value of R 1 is ___29 Jan, 2024 (E)Resistance and Resistivity
  18. 18A charge of 4 . 0 μ C is moving with a velocity of 4 . 0 × 10 6 m s - 1 along the positive y -axis under a magnetic field B of strength ( 2 29 Jan, 2024 (E)Motion of Charged Particle in Magnetic Field
  19. 19Two particles X and Y having equal charges are being accelerated through the same potential difference. Thereafter, they enter normally in a29 Jan, 2024 (E)Motion of Charged Particle in Magnetic Field
  20. 20A horizontal straight wire 5 m long extending from east to west falling freely at right angle to horizontal component of earth's magnetic fi29 Jan, 2024 (E)Induced Electric Field
  21. 21In an a.c. circuit, voltage and current are given by: V = 100 sin ( 100 t ) V and I = 100 sin 100 t + π 3 mA respectively. The average power29 Jan, 2024 (E)Alternating Current, Voltage and Power
  22. 22In the given figure, the charge stored in 6 μ F capacitor, when points A and B are joined by a connecting wire is _______ μ C .29 Jan, 2024 (E)AC Circuits
  23. 23A plane electromagnetic wave of frequency 35 MHz travels in free space along the X -direction. At a particular point (in space and time) E →29 Jan, 2024 (E)Electromagnetic Waves and Maxwell's equations
  24. 24If the distance between object and its two times magnified virtual image produced by a curved mirror is 15 cm , the focal length of the mirr29 Jan, 2024 (E)Mirror Formula, Reflection in Spherical Mirror
  25. 25In Young's double slit experiment, light from two identical sources are superimposing on a screen. The path difference between the two light29 Jan, 2024 (E)Youngs Double Slit Experiment
  26. 26In a single slit diffraction pattern, a light of wavelength 6000 A o is used. The distance between the first and third minima in the diffrac29 Jan, 2024 (E)Diffraction of Light
  27. 27Two sources of light emit with a power of 200 W . The ratio of number of photons of visible light emitted by each source having wavelengths 29 Jan, 2024 (E)Photoelectric Effect
  28. 28Given below are two statements: Statement I: Most of the mass of the atom and all its positive charge are concentrated in a tiny nucleus and29 Jan, 2024 (E)Atomic Models
  29. 29Hydrogen atom is bombarded with electrons accelerated through a potential different of V , which causes excitation of hydrogen atoms. If the29 Jan, 2024 (E)Atomic Spectrum
  30. 30The truth table for this given circuit is:29 Jan, 2024 (E)Logic gates

Frequently Asked Questions

1.How many questions are in the JEE Main 2024 29th January Evening Shift paper?

This paper has 90 questions in total - 30 each from Chemistry, Mathematics, and Physics.

2.Can I practise questions from just one subject?

Yes. Use the Chemistry, Mathematics, and Physics tabs at the top of the page to jump directly to that subject's question set within this shift.

3.Is this the same paper for all students who appeared in the evening shift?

JEE Main uses different question sets across shifts and sessions to maintain exam integrity, so this page reflects the specific paper administered in the 29th January 2024 evening shift.

4.Where can I find the morning shift paper for the same date?

The JEE Main 2024 29th January Morning Shift paper is listed separately - you can switch to it from the "JEE Main Paper Wise PYQs" panel, under JEE Main 29th January 2024.

5.What is the structure of the JEE Main 2024 29th January Evening Shift paper?

The JEE Main 2024 29th January Evening Shift paper on MARKS has 90 questions, organised by subject:

  • Chemistry: 30 questions - 20 single-correct and 10 numerical-value.
  • Mathematics: 30 questions - 20 single-correct and 10 numerical-value.
  • Physics: 30 questions - 20 single-correct and 10 numerical-value.
6.What is the difficulty level of the JEE Main 2024 29th January Evening Shift paper?

Each question on MARKS carries a difficulty rating. Of the 90 rated questions in this paper, 40 (44%) are easy, 42 (47%) are medium and 8 (9%) are hard. Subject wise:

  • Chemistry: 13 easy, 15 medium, 2 hard
  • Mathematics: 12 easy, 15 medium, 3 hard
  • Physics: 15 easy, 12 medium, 3 hard
7.Which chapters had the most questions in the JEE Main 2024 29th January Evening Shift paper?

The chapters with the most questions in each subject were:

  • Chemistry: General Organic Chemistry (5), Chemical Bonding and Molecular Structure (3), and Practical Chemistry (3).
  • Mathematics: Application of Derivatives (2), Complex Number (2), and Sequences and Series (2).
  • Physics: Alternating Current (2), Atomic Physics (2), and Current Electricity (2).
8.Are there any out-of-syllabus questions in the JEE Main 2024 29th January Evening Shift paper?

Yes. 3 of the 90 questions in this paper are marked on MARKS as outside the current syllabus. You can still practise them for the concept, but they are a lower priority if you are short on time.

9.Where can I find the solutions for the JEE Main 2024 29th January Evening Shift paper?

Open any question on this page. Its page shows the correct answer and, where one is available, the worked solution. A downloadable PDF of the whole shift is coming soon.

10.How should I use the JEE Main 2024 29th January Evening Shift paper to check my preparation?

Set a timer, attempt the 90 questions as you would in the exam, and only then open the answers. Note which subjects and chapters cost you the most marks, and revise those first using the chapter-wise practice for JEE Main. Repeating this with other papers shows whether the same weak spots keep coming back.

11.Will the JEE Main 2024 29th January Evening Shift paper help me prepare for JEE Main 2027?

Yes. Every past paper shows the question styles and topics JEE Main has asked before, and a solved paper gives you a realistic benchmark for speed and accuracy. Use it along with the other papers to spot the chapters that keep returning.