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JEE Main 2024 27th January Evening Shift

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Main 2024 27th 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 - 35 easy (39%), 38 moderate (42%) and 17 tough (19%). That's a fairly typical mix for this exam. By subject: Physics 37% easy, 47% moderate, 17% tough; Chemistry 47% easy, 30% moderate, 23% tough; Mathematics 33% easy, 50% moderate, 17% tough.

Chemistry questions were spread across 16 chapters, with General Organic Chemistry (6), Alcohols Phenols and Ethers (3), and Coordination Compounds (3) carrying the most weight. Mathematics questions were spread across 23 chapters, with Three Dimensional Geometry (4), Straight Lines (3), and Definite Integration (2) carrying the most weight. Physics questions were spread across 22 chapters, with Current Electricity (3), Electrostatics (3), and Alternating Current (2) carrying the most weight.

Chemistry

  1. 1Volume of 3 M NaOH (formula weight 40 g mol - 1 ) which can be prepared from 84 g of NaOH is ____ × 10 - 1 dm 3 .27 Jan, 2024 (E)Mole concept
  2. 29 . 3 g of aniline is subjected to reaction with excess of acetic anhydride to prepare acetanilide. The mass of acetanilide produced if the 27 Jan, 2024 (E)Mole concept
  3. 31 mole of PbS is oxidised by X moles of O 3 to get Y moles of O 2 . X + Y =27 Jan, 2024 (E)Quantitative measures in chemical equations
  4. 4Total number of ions from the following with noble gas configuration is Sr 2 + ( Z = 38 ) , Cs + ( Z = 55 ) , La 2 + ( Z = 57 ) Pb 2 + ( Z =27 Jan, 2024 (E)Electronic configuration
  5. 5The number of non-polar molecules from the following is HF , H 2 O , SO 2 , H 2 , CO 2 , CH 4 , NH 3 , HCl , CHCl 3 , BF 327 Jan, 2024 (E)Polarization
  6. 6For a certain thermochemical reaction M → N at T = 400 K , ΔH o = 77 . 2 kJ mol - 1 , ΔS o = 122 JK - 1 , log equilibrium constant ( logK ) 27 Jan, 2024 (E)Third law of thermodynamics
  7. 7Which of the following cannot function as an oxidising agent?27 Jan, 2024 (E)Oxidation and Reduction Reactions
  8. 8The molecular formula of second homologue in the homologous series of mono carboxylic acids is _________.27 Jan, 2024 (E)IUPAC Nomenclature
  9. 9Bond line formula of HOCH ( CN ) 2 is:27 Jan, 2024 (E)Classification of organic compounds
  10. 10The order of relative stability of the contributing structure is: Choose the correct answer from the options given below:27 Jan, 2024 (E)Conjugation and Aromaticity
  11. 11The incorrect statement regarding conformations of ethane is:27 Jan, 2024 (E)Isomerism of Organic Compounds
  12. 12Total number of compounds with Chiral carbon atoms from following is CH 3 - CH 2 - CH NO 2 - COOH CH 3 - CH ( I ) - CH 2 - NO 2 CH 3 - CH 2 27 Jan, 2024 (E)Isomerism of Organic Compounds
  13. 13The technique used for purification of steam volatile water immiscible substance is:27 Jan, 2024 (E)Purification of Organic Compounds
  14. 14The final product A, formed in the following reaction sequence is:27 Jan, 2024 (E)Reactions of alkenes
  15. 15The quantity which changes with temperature is:27 Jan, 2024 (E)Solubility and Concentration of Solutions
  16. 16Which of the following statements is not correct about rusting of iron?27 Jan, 2024 (E)Corrosion
  17. 17The hydrogen electrode is dipped in a solution of pH = 3 at 25 ° C . The potential of the electrode will be - ______ × 10 - 2 V . 2 . 303 RT27 Jan, 2024 (E)Cells and Electrode Potential, Nernst Equation
  18. 18Time required for completion of 99 . 9 % of first order reaction is ________ times of half life ( t 1 / 2 ) of the reaction27 Jan, 2024 (E)Integrated rate laws
  19. 19Given below are two statements: Statement (I) : Oxygen being the first member of group 16 exhibits only – 2 oxidation state. Statement (II) 27 Jan, 2024 (E)Oxygen and Its Compounds
  20. 20Choose the correct option having all the elements with d 10 electronic configuration from the following:27 Jan, 2024 (E)Properties of D-block elements
  21. 21Given below are two statements: Statement (I) : In the Lanthanoids, the formation of Ce + 4 is favoured by its noble gas configuration. Stat27 Jan, 2024 (E)F-Block elements
  22. 22Identity the incorrect pair from the following:27 Jan, 2024 (E)Terminology of coordination compounds
  23. 23Identify from the following species in which d 2 sp 3 hybridization is shown by central atom:27 Jan, 2024 (E)Werner's theory and Valence Bond Theory
  24. 24The Spin only magnetic moment value of square planar complex Pt NH 3 2 Cl NH 2 CH 3 Cl is _______ B.M. (Nearest integer) ( Given atomic numb27 Jan, 2024 (E)Werner's theory and Valence Bond Theory
  25. 25Which among the following halide/s will not show S N 1 reaction:27 Jan, 2024 (E)Preparation and Properties of Monohalides
  26. 26Identify B formed in the reaction. Cl - CH 2 4 - Cl → excess NH 3 A → NaOH B + H 2 O + NaCl27 Jan, 2024 (E)Preparation and Properties of Monohalides
  27. 27Phenolic group can be identified by a positive:27 Jan, 2024 (E)Properties of Phenol
  28. 28Match List-I with List-II. List I (Reaction) List II (Reagent(s)) (A) (I) Na 2 Cr 2 O 7 / H 2 SO 4 (B) (II) (i) NaOH (ii) CH 3 Cl (C) (III) 27 Jan, 2024 (E)Reactions of Alcohols
  29. 29Major product formed in the following reaction is a mixture of:27 Jan, 2024 (E)Reactions of Ethers
  30. 30Which structure of protein remains intact after coagulation of egg white on boiling?27 Jan, 2024 (E)Proteins

Mathematics

  1. 1If α , β are the roots of the equation, x 2 - x - 1 = 0 and S n = 2023 α n + 2024 β n , then27 Jan, 2024 (E)Relation between Roots and Coefficients
  2. 2Let the complex numbers α and 1 α ¯ lie on the circles z - z 0 2 = 4 and z - z 0 2 = 16 respectively, where z 0 = 1 + i . Then, the value of27 Jan, 2024 (E)Locus Based on Distance Formula
  3. 3Let α = ( 4 ! ) ! ( 4 ! ) 3 ! and β = ( 5 ! ) ! ( 5 ! ) 4 ! . Then :27 Jan, 2024 (E)Factorial
  4. 4The 20 th term from the end of the progression 20 , 19 1 4 , 18 1 2 , 17 3 4 , … , - 129 1 4 is :-27 Jan, 2024 (E)Arithmetic Progression
  5. 5The coefficient of x 2012 in the expansion of 1 - x 2008 1 + x + x 2 2007 is equal to _____.27 Jan, 2024 (E)Terms of Binomial Expansion
  6. 6If 2 tan 2 θ - 5 sec θ = 1 has exactly 7 solutions in the interval 0 , n π 2 , for the least value of n ∈ N then ∑ k = 1 n k 2 k is equal to27 Jan, 2024 (E)Solving Trigonometric Equation
  7. 7Let A and B be two finite sets with m and n elements respectively. The total number of subsets of the set A is 56 more than the total number27 Jan, 2024 (E)Point and Line
  8. 8If the sum of squares of all real values of α , for which the lines 2 x - y + 3 = 0 , 6 x + 3 y + 1 = 0 and αx + 2 y - 2 = 0 do not form a t27 Jan, 2024 (E)Concurrency & Family of Lines
  9. 9Let R be the interior region between the lines 3 x - y + 1 = 0 and x + 2 y - 5 = 0 containing the origin. The set of all values of a , for w27 Jan, 2024 (E)Position of a point
  10. 10Consider a circle x - α 2 + y - β 2 = 50 , where α , β 0 . If the circle touches the line y + x = 0 at the point P , whose distance from the27 Jan, 2024 (E)line and circle
  11. 11Let e 1 be the eccentricity of the hyperbola x 2 16 - y 2 9 = 1 and e 2 be the eccentricity of the ellipse x 2 a 2 + y 2 b 2 = 1 , a b , whi27 Jan, 2024 (E)Equation of hyperbola
  12. 12If lim x → 0 3 + α sin x + β cos x + log e ( 1 - x ) 3 tan 2 x = 1 3 , then 2 α - β is equal to :27 Jan, 2024 (E)Miscellaneous
  13. 13The mean and standard deviation of 15 observations were found to be 12 and 3 respectively. On rechecking it was found that an observation wa27 Jan, 2024 (E)Measures of Dispersion
  14. 14Let f : R - - 1 2 → R and g : R - - 5 2 → R be defined as f x = 2 x + 3 2 x + 1 and g x = | x | + 1 2 x + 5 . Then the domain of the functio27 Jan, 2024 (E)Domain
  15. 15Let A be a 2 × 2 real matrix and I be the identity matrix of order 2 . If the roots of the equation | A - xI | = 0 be - 1 and 3 , then the s27 Jan, 2024 (E)Trace of a Matrix
  16. 16The values of α , for which 1 3 2 α + 3 2 1 1 3 α + 1 3 2 α + 3 3 α + 1 0 = 0 , lie in the interval27 Jan, 2024 (E)Expansion of Determinants
  17. 17Considering only the principal values of inverse trigonometric functions, the number of positive real values of x satisfying tan - 1 ( x ) +27 Jan, 2024 (E)Sum and difference of angles
  18. 18Consider the function f : ( 0 , 2 ) → R defined by f ( x ) = x 2 + 2 x and the function g ( x ) defined by g x = min { f ( t ) } , 0 t ≤ x a27 Jan, 2024 (E)Differentiability
  19. 19Let g ( x ) = 3 f x 3 + f ( 3 - x ) and f " ( x ) 0 for all x ∈ ( 0 , 3 ) . If g is decreasing in ( 0 , α ) and increasing in ( α , 3 ) , th27 Jan, 2024 (E)Monotonicity
  20. 20The integral ∫ x 8 - x 2 dx x 12 + 3 x 6 + 1 tan - 1 x 3 + 1 x 3 is equal to :27 Jan, 2024 (E)Integration by Substitution
  21. 21For 0 a 1 , the value of the integral ∫ 0 π d x 1 - 2 a cos x + a 2 is :27 Jan, 2024 (E)Definite Integration by Substitution
  22. 22Let f x = ∫ 0 x g t log e 1 - t 1 + t dt , where g is a continuous odd function. If ∫ - π 2 π 2 f x + x 2 cosx 1 + e x dx = π α 2 - α , then27 Jan, 2024 (E)Properties of Definite Integration
  23. 23If the area of the region ( x , y ) : 0 ≤ y ≤ min 2 x , 6 x - x 2 is A , then 12 A is equal to _______.27 Jan, 2024 (E)Area of Curve along axis
  24. 24If y = y ( x ) is the solution curve of the differential equation x 2 - 4 dy - y 2 - 3 y dx = 0 , x 2 , y ( 4 ) = 3 2 and the slope of the c27 Jan, 2024 (E)Variable Separable Form
  25. 25If the solution curve, of the differential equation d y d x = x + y - 2 x - y passing through the point ( 2 , 1 ) is tan - 1 y - 1 x - 1 - 127 Jan, 2024 (E)Homogeneous DE
  26. 26The position vectors of the vertices A , B and C of a triangle are 2 i ^ - 3 j ^ + 3 k ^ , 2 i ^ + 2 j ^ + 3 k ^ and - i ^ + j ^ + 3 k ^ res27 Jan, 2024 (E)Basics of point in 3 dimension
  27. 27Let the position vectors of the vertices A , B and C of a triangle be 2 i ^ + 2 j ^ + k ^ , i ^ + 2 j ^ + 2 k ^ and 2 i ^ + j ^ + 2 k ^ resp27 Jan, 2024 (E)Basics of point in 3 dimension
  28. 28The lines x - 2 2 = y - 2 = z - 7 16 and x + 3 4 = y + 2 3 = z + 2 1 intersect at the point P . If the distance of P from the line x + 1 2 =27 Jan, 2024 (E)Line in Space
  29. 29Let the image of the point ( 1 , 0 , 7 ) in the line x 1 = y - 1 2 = z - 2 3 be the point ( α , β , γ ) . Then which one of the following po27 Jan, 2024 (E)Line in Space
  30. 30An urn contains 6 white and 9 black balls. Two successive draws of 4 balls are made without replacement. The probability, that the first dra27 Jan, 2024 (E)Conditional Probability and Multiplication Theorem

Physics

  1. 1The equation of state of a real gas is given by P + a V 2 ( V - b ) = R T , where P , V and T are pressure, volume and temperature respectiv27 Jan, 2024 (E)Dimensions
  2. 2A body falling under gravity covers two points A and B separated by 80 m in 2 s . The distance of upper point A from the starting point is _27 Jan, 2024 (E)Motion Under Gravity
  3. 3A bullet is fired into a fixed target looses one third of its velocity after travelling 4 cm . It penetrates further D × 10 - 3 m before com27 Jan, 2024 (E)Uniform Motion
  4. 4Given below are two statements : Statement (I) : The limiting force of static friction depends on the area of contact and independent of mat27 Jan, 2024 (E)Frictional force
  5. 5A ball suspended by a thread swings in a vertical plane so that its magnitude of acceleration in the extreme position and lowest position ar27 Jan, 2024 (E)Circular motion
  6. 6A ring and a solid sphere roll down the same inclined plane without slipping. They start from rest. The radii of both bodies are identical a27 Jan, 2024 (E)Rolling without Slipping
  7. 7A heavy iron bar of weight 12 kg is having its one end on the ground and the other on the shoulder of a man. The rod makes an angle 60 ° wit27 Jan, 2024 (E)Torque
  8. 8Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R) . Assertion (A) : The angular spee27 Jan, 2024 (E)Motion of satellite
  9. 9Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R) Assertion (A) : The property of bo27 Jan, 2024 (E)Elasticity
  10. 10The reading of pressure metre attached with a closed pipe is 4 . 5 × 10 4 N m - 2 . On opening the valve, water starts flowing and the readi27 Jan, 2024 (E)Hydrodynamics
  11. 11During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio of C p C v27 Jan, 2024 (E)Thermodynamic Processes
  12. 12The total kinetic energy of 1 mole of oxygen at 27 ° C is : [Use universal gas constant ( R ) = 8 . 31 J mol - 1 K - 1 ]27 Jan, 2024 (E)Pressure and Energy of gas
  13. 13A closed organ pipe 150 cm long gives 7 beats per second with an open organ pipe of length 350 cm , both vibrating in fundamental mode. The 27 Jan, 2024 (E)Organ Pipe (Vibration of Air Column)
  14. 14The electric potential at the surface of an atomic nucleus ( Z = 50 ) of radius 9 × 10 - 13 cm is α × 10 6 V . What is the value of α ? (Cha27 Jan, 2024 (E)Electric Potential and Potential Energy
  15. 15Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason(R) Assertion (A) : Work done by electr27 Jan, 2024 (E)Electric Field and Electric Field Lines
  16. 16Two charges of - 4 μC and + 4 μC are placed at the points A ( 1 , 0 , 4 ) m and B ( 2 , - 1 , 5 ) m located in an electric field E → = 0 . 227 Jan, 2024 (E)Electric Dipole
  17. 17Wheatstone bridge principle is used to measure the specific resistance S 1 of given wire, having length L , radius r . If X is the resistanc27 Jan, 2024 (E)Wheatstone Bridge
  18. 18A current of 200 μA deflects the coil of a moving coil galvanometer through 60 ° . The current to cause deflection through π 10 radian is27 Jan, 2024 (E)Electric Instruments
  19. 19Three voltmeters, all having different internal resistances are joined as shown in figure. When some potential difference is applied across 27 Jan, 2024 (E)Electric Instruments
  20. 20The magnetic field at the centre of a wire loop formed by two semicircular wires of radii R 1 = 2 π m and R 2 = 4 π m carrying current I = 427 Jan, 2024 (E)Magnetic Field
  21. 21A series LCR circuit with L = 100 π mH , C = 10 - 3 π F and R = 10 Ω , is connected across an AC source of 220 V , 50 Hz supply. The power f27 Jan, 2024 (E)Quality and Power Factor
  22. 22The primary side of a transformer is connected to 230 V , 50 Hz supply. The turn ratio of primary to secondary winding is 10 : 1 . Load resi27 Jan, 2024 (E)Transformers
  23. 23An object is placed in a medium of refractive index 3 . An electromagnetic wave of intensity 6 × 10 8 W m - 2 falls normally on the object a27 Jan, 2024 (E)Electromagnetic Waves and Maxwell's equations
  24. 24A parallel beam of monochromatic light of wavelength 5000 A o is incident normally on a single narrow slit of width 0 . 001 mm . The light i27 Jan, 2024 (E)Diffraction of Light
  25. 25When a polaroid sheet is rotated between two crossed polaroids then the transmitted light intensity will be maximum for a rotation of :27 Jan, 2024 (E)Polarization of Light
  26. 26The threshold frequency of a metal with work function 6 . 63 eV is :27 Jan, 2024 (E)Photoelectric Effect
  27. 27If Rydberg's constant is R , the longest wavelength of radiation in Paschen series will be α 7 R , where α = ______.27 Jan, 2024 (E)Atomic Spectrum
  28. 28The atomic mass of C 12 6 is 12 . 000000 u and that of C 13 6 is 13 . 003354 u . The required energy to remove a neutron from C 13 6 , if ma27 Jan, 2024 (E)Nuclear energy
  29. 29The truth table of the given circuit diagram is :27 Jan, 2024 (E)Logic gates
  30. 30Given below are two statements: one is labelled as Assertion(A) and the other is labelled as Reason (R). Assertion (A) : In Vernier calliper27 Jan, 2024 (E)Experimental Physics

Frequently Asked Questions

1.How many questions are in the JEE Main 2024 27th 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 27th January 2024 evening shift.

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

The JEE Main 2024 27th January Morning Shift paper is listed separately - you can switch to it from the "JEE Main Paper Wise PYQs" panel, under JEE Main 27th January 2024.

5.What is the structure of the JEE Main 2024 27th January Evening Shift paper?

The JEE Main 2024 27th 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 27th January Evening Shift paper?

Each question on MARKS carries a difficulty rating. Of the 90 rated questions in this paper, 35 (39%) are easy, 38 (42%) are medium and 17 (19%) are hard. Subject wise:

  • Chemistry: 14 easy, 9 medium, 7 hard
  • Mathematics: 10 easy, 15 medium, 5 hard
  • Physics: 11 easy, 14 medium, 5 hard
7.Which chapters had the most questions in the JEE Main 2024 27th January Evening Shift paper?

The chapters with the most questions in each subject were:

  • Chemistry: General Organic Chemistry (6), Alcohols Phenols and Ethers (3), and Coordination Compounds (3).
  • Mathematics: Three Dimensional Geometry (4), Straight Lines (3), and Definite Integration (2).
  • Physics: Current Electricity (3), Electrostatics (3), and Alternating Current (2).
8.Are there any out-of-syllabus questions in the JEE Main 2024 27th 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 27th 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 27th 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 27th 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.