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JEE Main 2024 31st January Evening Shift

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Main 2024 31st 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 - 38 easy (42%), 36 moderate (40%) and 16 tough (18%). That's an easier-than-usual mix for this exam - aim to clear it quickly and save time for the harder papers. By subject: Physics 47% easy, 37% moderate, 17% tough; Chemistry 47% easy, 37% moderate, 17% tough; Mathematics 33% easy, 47% moderate, 20% tough.

Chemistry questions were spread across 20 chapters, with Hydrocarbons (3), d and f Block Elements (3), and Amines (2) carrying the most weight. Mathematics questions were spread across 22 chapters, with Three Dimensional Geometry (3), Binomial Theorem (2), and Definite Integration (2) carrying the most weight. Physics questions were spread across 23 chapters, with Current Electricity (3), Electrostatics (2), and Laws of Motion (2) carrying the most weight.

Chemistry

  1. 1A sample of CaCO 3 and MgCO 3 weighed 2 .21 g is ignited to constant weight of 1 .152 g . The composition of the mixture is: (Given molar ma31 Jan, 2024 (E)Quantitative measures in chemical equations
  2. 2The molarity of 1 L orthophosphoric acid H 3 PO 4 having 70 % purity by weight (specific gravity 1 .54 g cm − 3 ) is ______ M . (Molar mass 31 Jan, 2024 (E)Quantitative measures in chemical equations
  3. 3The four quantum numbers for the electron in the outer most orbital of potassium (atomic no. 19 ) are31 Jan, 2024 (E)Quantum mechanical model
  4. 4Consider the following elements. Which of the following is/are true about A ' , B ' , C ' and D ' ? A. Order of atomic radii: B ' A ' D ' C 31 Jan, 2024 (E)Periodic properties
  5. 5Which of the following is least ionic?31 Jan, 2024 (E)Ionic bond
  6. 6A diatomic molecule has a dipole moment of 1 .2 D . If the bond distance is 1 A o , then fractional charge on each atom is _____ × 10 − 1 es31 Jan, 2024 (E)Dipole moment
  7. 7If 5 moles of an ideal gas expands from 10 L to a volume of 100 L at 300 K under isothermal and reversible condition then work, w , is − x J31 Jan, 2024 (E)First Law and Basic Fundamentals of Thermodynamics
  8. 8A g ⇌ B g + C 2 g . The correct relationship between K P , α and equilibrium pressure P is31 Jan, 2024 (E)Law of Mass Action, Equilibrium Constant (Kc and Kp) and its Application
  9. 9Given below are two statements : Statement I: S 8 solid undergoes disproportionation reaction under alkaline conditions to form S 2 − and S 31 Jan, 2024 (E)Types of redox reactions
  10. 10Given below are two statements : Statement I: Group 13 trivalent halides get easily hydrolysed by water due to their covalent nature. Statem31 Jan, 2024 (E)Aluminium and Its Compounds
  11. 11Identify structure of 2 , 3 -dibromo- 1 -phenylpentane.31 Jan, 2024 (E)IUPAC Nomenclature
  12. 12The fragrance of flowers is due to the presence of some steam volatile organic compounds called essential oils. These are generally insolubl31 Jan, 2024 (E)Purification of Organic Compounds
  13. 13Number of isomeric products formed by monochlorination of 2 -methylbutane in presence of sunlight is _______.31 Jan, 2024 (E)Reactions of alkanes
  14. 14Major product of the following reaction is:31 Jan, 2024 (E)Preparation and Reactions of cycloalkanes and cycloalkenes
  15. 15Identify A and B in the following reaction sequence.31 Jan, 2024 (E)Reactions of aromatic compounds
  16. 16The values of conductivity of some materials at 298 .15 K in Sm − 1 are 2 .1 × 10 3 , 1 .0 × 10 − 16 , 1 .2 × 10 , 3 .91 , 1 .5 × 10 − 2 , 131 Jan, 2024 (E)Conductance and Conductivity
  17. 17r = k A for a reaction, 50 % of A is decomposed in 120 minutes. The time taken for 90 % decomposition of A is ______ minutes.31 Jan, 2024 (E)Rate of reaction
  18. 18Choose the correct statements from the following A. All group 16 elements form oxides of general formula E O 2 and E O 3 where E = S , S e ,31 Jan, 2024 (E)Oxygen and Its Compounds
  19. 19Number of moles of H + ions required by 1 mole of MnO 4 − to oxidise oxalate ion to CO 2 is ______.31 Jan, 2024 (E)Compounds of Transition Metals
  20. 20In the reaction of potassium dichromate, potassium chloride and sulfuric acid (conc.), the oxidation state of the chromium in the product is31 Jan, 2024 (E)Compounds of Transition Metals
  21. 21Choose the correct statements from the following A. Mn 2 O 7 is an oil at room temperature B. V 2 O 4 reacts with acid to give VO 2 2 + C. C31 Jan, 2024 (E)Compounds of Transition Metals
  22. 22Select the option with correct property:31 Jan, 2024 (E)Werner's theory and Valence Bond Theory
  23. 23Match List I with List II LIST – I (Complex ion) LIST – II (Electronic Configuration A. C r H 2 O 6 3 + I. t 2 g 2 e g 0 B. F e H 2 O 6 3 + 31 Jan, 2024 (E)Crystal Field Theory
  24. 24The correct order of reactivity in electrophilic substitution reaction of the following compounds is:31 Jan, 2024 (E)Preparation and Properties of Aryl Halides
  25. 25Identify the name reaction.31 Jan, 2024 (E)Method of preparation for Aldehydes
  26. 26Identify major product ‘ P ’ formed in the following reaction.31 Jan, 2024 (E)Preparation and Properties of Acid Derivatives
  27. 27The azo-dye Y formed in the following reactions is Sulphanilic acid + NaNO 2 + CH 3 COOH → X31 Jan, 2024 (E)Preparation and Properties of Acid Derivatives
  28. 28Given below are two statements : Statement I: Aniline reacts with con. H 2 SO 4 followed by heating at 453 - 473 K gives p-aminobenzene sulp31 Jan, 2024 (E)Preparation and Properties of Amines
  29. 29A compound x with molar mass 108 g mol − 1 undergoes acetylation to give product with molar mass 192 g mol − 1 . The number of amino groups 31 Jan, 2024 (E)Preparation and Properties of Amines
  30. 30From the vitamins A , B 1 , B 6 , B 12 , C , D , E and K , the number vitamins that can be stored in our body is ______.31 Jan, 2024 (E)Vitamins

Mathematics

  1. 1Let a , b , c be the length of three sides of a triangle satisfying the condition a 2 + b 2 x 2 − 2 b a + c x + b 2 + c 2 = 0 . If the set o31 Jan, 2024 (E)Relation between Roots and Coefficients
  2. 2The number of solutions, of the equation e sin x − 2 e − sin x = 2 is31 Jan, 2024 (E)N degree equation
  3. 3Let z 1 and z 2 be two complex number such that z 1 + z 2 = 5 and z 1 3 + z 2 3 = 20 + 15 i . Then z 1 4 + z 2 4 equals-31 Jan, 2024 (E)Conjugate, modulus and argument
  4. 4The number of ways in which 21 identical apples can be distributed among three children such that each child gets at least 2 apples, is31 Jan, 2024 (E)Division of Identical items
  5. 5Let 2 nd , 8 th and 44 th , terms of a non-constant A . P . be respectively the 1 st , 2 nd and 3 rd terms of G . P . If the first term of A31 Jan, 2024 (E)Mixed Question on AP and GP
  6. 6If for some m , n ; 6 C m + 2 6 C m + 1 + 6 C m + 2 8 C 3 and n − 1 P 3 : n P 4 = 1 : 8 , then n P m + 1 + n + 1 C m is equal to31 Jan, 2024 (E)Properties of Binomial Coefficients
  7. 7Let the coefficient of x r in the expansion of x + 3 n − 1 + x + 3 n − 2 x + 2 + x + 3 n − 3 x + 2 2 + . ... + x + 2 n − 1 be α r . If ∑ r =31 Jan, 2024 (E)Properties of Binomial Coefficients
  8. 8Let A a , b , B 3 , 4 and − 6 , − 8 respectively denote the centroid, circumcentre and orthocentre of a triangle. Then, the distance of the 31 Jan, 2024 (E)Coordinate System
  9. 9Let A − 2 , − 1 , B 1 , 0 , C α , β and D γ , δ be the vertices of a parallelogram A B C D . If the point C lies on 2 x − y = 5 and the poin31 Jan, 2024 (E)Coordinate System
  10. 10Let a variable line passing through the centre of the circle x 2 + y 2 − 16 x − 4 y = 0 , meet the positive co-ordinate axes at the point A 31 Jan, 2024 (E)Equation of Circle & its intercept
  11. 11Let P be a parabola with vertex 2 , 3 and directrix 2 x + y = 6 . Let an ellipse E : x 2 a 2 + y 2 b 2 = 1 , a b of eccentricity 1 2 pass th31 Jan, 2024 (E)Equation of Ellipse
  12. 12Let f : → R → 0 , ∞ be strictly increasing function such that lim x → ∞ f 7 x f x = 1 . Then, the value of lim x → ∞ f 5 x f x − 1 is equal 31 Jan, 2024 (E)Algebraic and Rational Limits
  13. 13If lim x → 0 a x 2 e x − b log e 1 + x + c x e − x x 2 sin x = 1 , then 16 a 2 + b 2 + c 2 is equal to ______.31 Jan, 2024 (E)Miscellaneous
  14. 14Let the mean and the variance of 6 observation a , b , 68 , 44 , 48 , 60 be 55 and 194 , respectively if a b , then a + 3 b is31 Jan, 2024 (E)Measures of Dispersion
  15. 15Let A = 1 , 2 , 3 , . ...100 . Let R be a relation on A defined by x , y ∈ R if and only if 2 x = 3 y . Let R 1 be a symmetric relation on A31 Jan, 2024 (E)Questions on number of relations and sets
  16. 16If the function f : − ∞ , − 1 → a , b defined by f x = e x 3 − 3 x + 1 is one-one and onto, then the distance of the point P 2 b + 4 , a + 231 Jan, 2024 (E)Types of Function (Mapping)
  17. 17Let A be a 3 × 3 matrix and det A = 2 . If n = det a d j a d j . ... a d j A ⏟ 2024 − times , then the remainder when n is divided by 9 is e31 Jan, 2024 (E)Adjoint and its Properties
  18. 18Let A be a 3 × 3 real matrix such that A 1 0 1 = 2 1 0 1 , A − 1 0 1 = 4 − 1 0 1 , A 0 1 0 = 2 0 1 0 . Then, the system A − 3 I x y z = 1 2 31 Jan, 2024 (E)System of Linear Equations
  19. 19If a = sin − 1 sin 5 and b = cos − 1 cos 5 , then a 2 + b 2 is equal to31 Jan, 2024 (E)Principal Value and Basics
  20. 20Consider the function f : 0 , ∞ → R defined by f x = e − log e x . If m and n be respectively the number of points at which f is not continu31 Jan, 2024 (E)Differentiability
  21. 21Let f , g : 0 , ∞ → R be two functions defined by f x = ∫ − x x t − t 2 e − t 2 d t and g x = ∫ 0 x 2 t 1 2 e − t 2 d t . Then the value of 31 Jan, 2024 (E)Properties of Definite Integration
  22. 22120 π 3 ∫ 0 π x 2 sin x cos x sin 4 x + cos 4 x d x is equal to ______.31 Jan, 2024 (E)Properties of Definite Integration
  23. 23The area of the region enclosed by the parabola y = 4 x − x 2 and 3 y = x − 4 2 is equal to31 Jan, 2024 (E)Area bounded by two curves
  24. 24Let y = y x be the solution of the differential equation sec 2 x d x + e 2 y tan 2 x + tan x d y = 0 , 0 x π 2 , y π 4 = 0 . If y π 6 = α , 31 Jan, 2024 (E)Exact Forms
  25. 25The temperature T t of a body at time t = 0 is 160 ° F and it decreases continuously as per the differential equation d T d t = − K T − 80 ,31 Jan, 2024 (E)Applications of DE
  26. 26Let a → = 3 i ^ + 2 j ^ + k ^ , b → = 2 i ^ − j ^ + 3 k ^ and c → be a vector such that a → + b → × c → = 2 a → × b → + 24 j ^ − 6 k ^ and a31 Jan, 2024 (E)Product of 2 vectors
  27. 27Let α , β , γ be mirror image of the point 2 , 3 , 5 in the line x − 1 2 = y − 2 3 = z − 3 4 . Then 2 α + 3 β + 4 γ is equal to31 Jan, 2024 (E)Line in Space
  28. 28The shortest distance between lines L 1 and L 2 , where L 1 : x − 1 2 = y + 1 − 3 = z + 4 2 and L 2 is the line passing through the points A31 Jan, 2024 (E)Line in Space
  29. 29A line passes through A 4 , − 6 , − 2 and B 16 , − 2 , 4 . The point P a , b , c where a , b , c are non-negative integers, on the line A B 31 Jan, 2024 (E)Line in Space
  30. 30A coin is biased so that a head is twice as likely to occur as a tail. If the coin is tossed 3 times, then the probability of getting two ta31 Jan, 2024 (E)Classical Definition of Probability

Physics

  1. 1If two vectors A → and B → having equal magnitude R are inclined at an angle θ , then31 Jan, 2024 (E)Addition and Subtraction of Vectors
  2. 2Consider two physical quantities A and B related to each other as E = B − x 2 A t where E , x and t have dimensions of energy, length and ti31 Jan, 2024 (E)Dimensions
  3. 3A light string passing over a smooth light fixed pulley connects two blocks of masses m 1 and m 2 . If the acceleration of the system is g 831 Jan, 2024 (E)Equilibrium of Forces
  4. 4A block of mass 5 kg is placed on a rough inclined surface as shown in the figure. If F → 1 is the force required to just move the block up 31 Jan, 2024 (E)Frictional force
  5. 5A body of mass 2 kg begins to move under the action of a time dependent force given by F → = 6 t i ^ + 6 t 2 j ^ N . The power developed by 31 Jan, 2024 (E)Power
  6. 6Two identical spheres each of mass 2 kg and radius 50 cm are fixed at the ends of a light rod so that the separation between the centers is 31 Jan, 2024 (E)Moment of inertia of rigid bodies
  7. 7A body of mass m is projected with a speed u making an angle of 45 o with the ground. The angular momentum of the body about the point of pr31 Jan, 2024 (E)Angular momentum and Angular impulse
  8. 8The mass of the moon is 1 144 times the mass of a planet and its diameter 1 16 times the diameter of a planet. If the escape velocity on the31 Jan, 2024 (E)Gravitational potential and Potential Energy
  9. 9Two blocks of mass 2 kg and 4 kg are connected by a metal wire going over a smooth pulley as shown in figure. The radius of wire is 4 . 0 × 31 Jan, 2024 (E)Young's Modulus and Breaking Stres
  10. 10A small spherical ball of radius r , falling through a viscous medium of negligible density has terminal velocity v . Another ball of the sa31 Jan, 2024 (E)Viscosity
  11. 11A gas mixture consists of 8 moles of argon and 6 moles of oxygen at temperature T . Neglecting all vibrational modes, the total internal ene31 Jan, 2024 (E)Pressure and Energy of gas
  12. 12The time period of simple harmonic motion of mass M in the given figure is π α M 5 K , where the value of α is _______.31 Jan, 2024 (E)Applications of SHM
  13. 13The speed of sound in oxygen at S.T.P. will be approximately: (Given, R = 8 . 3 J K - 1 , γ = 1 . 4 )31 Jan, 2024 (E)Speed of Sound Waves
  14. 14Force between two point charges q 1 and q 2 placed in vacuum at r cm apart is F . Force between them when placed in a medium having dielectr31 Jan, 2024 (E)Electric Charge and Coulomb's law
  15. 15The distance between charges + q and - q is 2 l and between + 2 q and - 2 q is 4 l . The electrostatic potential at point P at a distance r 31 Jan, 2024 (E)Electric Potential and Potential Energy
  16. 16By what percentage will the illumination of the lamp decrease if the current drops by 20 % ?31 Jan, 2024 (E)Electric Power and Heating Effect of Current
  17. 17In the following circuit, the battery has an emf of 2 V and an internal resistance of 2 3 Ω . The power consumption in the entire circuit is31 Jan, 2024 (E)Electric Power and Heating Effect of Current
  18. 18The resistance per centimeter of a meter bridge wire is r , with X Ω resistance in left gap. Balancing length from left end is at 40 cm with31 Jan, 2024 (E)Wheatstone Bridge
  19. 19Two circular coils P and Q of 100 turns each have same radius of π cm . The currents in P and R are 1 A and 2 A respectively. P and Q are pl31 Jan, 2024 (E)Magnetic Field
  20. 20A uniform magnetic field of 2 × 10 - 3 T acts along positive Y-direction. A rectangular loop of sides 20 cm and 10 cm with current of 5 A is31 Jan, 2024 (E)Force and Torque on Current Carrying Conductor
  21. 21The magnetic flux ϕ (in weber) linked with a closed circuit of resistance 8 Ω varies with time (in seconds) as ϕ = 5 t 2 − 36 t + 1 . The in31 Jan, 2024 (E)Magnetic Flux, Faraday's and Lenz law
  22. 22An AC voltage V = 20 sin 200 π t is applied to a series LCR circuit which drives a current I = 10 sin 200 π t + π 3 . The average power diss31 Jan, 2024 (E)Alternating Current, Voltage and Power
  23. 23Given below are two statements: Statement I: Electromagnetic waves carry energy as they travel through space and this energy is equally shar31 Jan, 2024 (E)Electromagnetic Waves and Maxwell's equations
  24. 24Light from a point source in air falls on a convex curved surface of radius 20 cm and refractive index 1 . 5 . If the source is located at 131 Jan, 2024 (E)Lens Formula, Refraction of light from curved surface
  25. 25When unpolarized light is incident at an angle of 60 ° on a transparent medium from air. The reflected ray is completely polarized. The angl31 Jan, 2024 (E)Polarization of Light
  26. 26In a photoelectric effect experiment a light of frequency 1 . 5 times the threshold frequency is made to fall on the surface of photosensiti31 Jan, 2024 (E)Photoelectric Effect
  27. 27The mass number of nucleus having radius equal to half of the radius of nucleus with mass number 192 is:31 Jan, 2024 (E)Nuclear structure
  28. 28A nucleus has mass number A 1 and volume V 1 . Another nucleus has mass number A 2 and volume V 2 . If relation between mass number is A 2 =31 Jan, 2024 (E)Nuclear structure
  29. 29The output of the given circuit diagram is31 Jan, 2024 (E)Logic gates
  30. 30The measured value of the length of a simple pendulum is 20 cm with 2 mm accuracy. The time for 50 oscillations was measured to be 40 second31 Jan, 2024 (E)Experimental Physics

Frequently Asked Questions

1.How many questions are in the JEE Main 2024 31st 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 31st January 2024 evening shift.

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

The JEE Main 2024 31st January Morning Shift paper is listed separately - you can switch to it from the "JEE Main Paper Wise PYQs" panel, under JEE Main 31st January 2024.

5.How is the JEE Main 2024 31st January Evening Shift paper structured?

The JEE Main 2024 31st 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.How difficult is the JEE Main 2024 31st January Evening Shift paper?

Each question on MARKS carries a difficulty rating. Of the 90 rated questions in this paper, 38 (42%) are easy, 36 (40%) are medium and 16 (18%) are hard. Subject wise:

  • Chemistry: 14 easy, 11 medium, 5 hard
  • Mathematics: 10 easy, 14 medium, 6 hard
  • Physics: 14 easy, 11 medium, 5 hard
7.Which chapters were asked the most in the JEE Main 2024 31st January Evening Shift paper?

The chapters with the most questions in each subject were:

  • Chemistry: d and f Block Elements (3), Hydrocarbons (3), and Amines (2).
  • Mathematics: Three Dimensional Geometry (3), Binomial Theorem (2), and Definite Integration (2).
  • Physics: Current Electricity (3), Electrostatics (2), and Laws of Motion (2).
8.Are there any out-of-syllabus questions in the JEE Main 2024 31st January Evening Shift paper?

Yes. 4 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 31st 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 31st 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 31st 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.