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JEE Main 2021 25th July Morning Shift

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Main 2021 25th July Morning 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 - 29 easy (32%), 45 moderate (50%) and 16 tough (18%). That's a fairly typical mix for this exam. By subject: Physics 27% easy, 53% moderate, 20% tough; Chemistry 37% easy, 50% moderate, 13% tough; Mathematics 33% easy, 47% moderate, 20% tough.

Chemistry questions were spread across 24 chapters, with Amines (3), Alcohols Phenols and Ethers (2), and Coordination Compounds (2) carrying the most weight. Mathematics questions were spread across 22 chapters, with Binomial Theorem (3), Application of Derivatives (2), and Continuity and Differentiability (2) carrying the most weight. Physics questions were spread across 25 chapters, with Current Electricity (2), Dual Nature of Matter (2), and Nuclear Physics (2) carrying the most weight.

Chemistry

  1. 1is a repeating unit for :25 Jul, 2021 (M)Classification of Polymers
  2. 2Which one of the following species responds to an external magnetic field?25 Jul, 2021 (M)Werner's theory and Valence Bond Theory
  3. 3Consider the above reaction, the major product P is:25 Jul, 2021 (M)Preparation and Properties of Alcohols
  4. 4Sodium stearate CH 3 CH 2 16 COO - Na + is an anionic surfactant which forms micelles in oil. Choose the correct statement for it from the f25 Jul, 2021 (M)Cleansing Agents
  5. 5The water soluble protein is:25 Jul, 2021 (M)Proteins
  6. 6At 298 . 2 K the relationship between enthalpy of bond dissociation (in kJ mol - 1 ) for hydrogen E H and its isotope, deuterium E D , is be25 Jul, 2021 (M)Laws of Thermochemistry and Enthalpy Change
  7. 7Consider the given reaction, the product X is:25 Jul, 2021 (M)Tests for aldehyde and ketones
  8. 8The given reaction can occur in the presence of : (a) Bromine water (b) Br 2 in CS 2 , 273 K (c) Br 2 / FeBr 3 (d) Br 2 in CHCl 3 , 273 K Ch25 Jul, 2021 (M)Preparation and Properties of Alcohols
  9. 9Given below are two statements, one is labelled as Assertion (A) and other is labelled as Reason (R). Assertion (R) : Gabriel phthalimide sy25 Jul, 2021 (M)Preparation and Properties of Amines
  10. 10For the following graphs, Choose from the options given below, the correct one regarding order of reaction is :25 Jul, 2021 (M)Methods to determine order of reaction
  11. 11Which one of the products of the following reactions does not react with Hinsberg reagent to form sulphonamide?25 Jul, 2021 (M)Preparation and Properties of Amines
  12. 12The ionic radii of K + , Na + , Al 3 + and Mg 2 + are in the order :25 Jul, 2021 (M)Periodic properties
  13. 13Which one of the following compounds of Group- 14 elements is not known?25 Jul, 2021 (M)Silicon and Its Compounds
  14. 14Which one among the following resonating structures is not correct?25 Jul, 2021 (M)Conjugation and Aromaticity
  15. 15Given below are two statements: Statement I : None of the alkaline earth metal hydroxides dissolve in alkali. Srtatement II : Solubility of 25 Jul, 2021 (M)Alkaline Earth Metals
  16. 16The correct order of following 3 d metal oxides, according to their oxidation numbers is : (a) CrO 3 (b) Fe 2 O 3 (c) MnO 2 (d) V 2 O 5 (e) 25 Jul, 2021 (M)Properties of D-block elements
  17. 17Which one of the following chemical agent is not being used for dry-cleaning of clothes?25 Jul, 2021 (M)Water Pollution
  18. 18Which one of the following compounds will liberate CO 2 , when treated with NaHCO 3 ?25 Jul, 2021 (M)Preparation and Properties of Amines
  19. 19In the leaching of alumina from bauxite, the ore expected to leach out in the process by reacting with NaOH is :25 Jul, 2021 (M)Concentration of the Ore
  20. 20An organic compound A C 4 H 8 on treatment with KMnO 4 / H + yields compound B C 3 H 6 O . Compound A also yields compound B an ozonolysis. 25 Jul, 2021 (M)Reactions of alkenes
  21. 21The number of sigma bonds in is _______.25 Jul, 2021 (M)Properties and Preparation of Alkynes
  22. 22Three moles of AgCl get precipitated when one mole of an octahedral co-ordination compound with empirical formula CrCl 3 . 3 NH 3 . 3 H 2 O 25 Jul, 2021 (M)Werner's theory and Valence Bond Theory
  23. 23A source of monochromatic radiation wavelength 400 nm provides 1000 J of energy in 10 seconds. When this radiation falls on the surface of s25 Jul, 2021 (M)Dual Behaviour of Matter and Heisenberg Uncertainty Principle
  24. 24CO 2 gas is bubbled through water during a soft drink manufacturing process at 298 K . If CO 2 exerts a partial pressure of 0 . 835 bar then25 Jul, 2021 (M)Henry's law
  25. 25For the reaction A + B 2 C the value of equilibrium constant is 100 at 298 K . If the initial concentration of all the three species is 1 M 25 Jul, 2021 (M)Law of Mass Action, Equilibrium Constant (Kc and Kp) and its Application
  26. 26Consider the cell at 25 C Zn Zn 2 + aq , 1 M Fe 3 + ( aq ) , Fe 2 + aq Pt s The fraction of total iron present as Fe 3 + ion at the cell pot25 Jul, 2021 (M)Cells and Electrode Potential, Nernst Equation
  27. 27At 298 K , the enthalpy of fusion of a solid X is 2 . 8 kJ mol - 1 and the enthalpy of vaporisation of the liquid X is 98 . 2 kJ mol - 1 . T25 Jul, 2021 (M)Laws of Thermochemistry and Enthalpy Change
  28. 28A home owner uses 4 . 00 10 3 m 3 of methane CH 4 gas, (assume CH 4 is an ideal gas) in a year to heat his home. Under the pressure of 1 . 025 Jul, 2021 (M)Gas laws and Ideal Gas Equation
  29. 29When 10 mL of an aqueous solution of Fe 2 + ions was titrated in the presence of dil H 2 SO 4 using diphenylamine indicator, 15 mL of 0 . 0225 Jul, 2021 (M)Equivalence concept
  30. 30Consider the complete combustion of butane, the amount of butane utilized to produce 72 . 0 g of water is ______ 10 - 1 g . (in nearest inte25 Jul, 2021 (M)Quantitative measures in chemical equations

Mathematics

  1. 1A spherical gas balloon of radius 16 meter subtends an angle 60 at the eye of the observer A while the angle of elevation of its center from25 Jul, 2021 (M)Heights and Distances
  2. 2Let f x = 3 sin 4 x + 10 sin 3 x + 6 sin 2 x - 3 , x - 6 , 2 . Then, f is :25 Jul, 2021 (M)Monotonicity
  3. 3Let S n be the sum of the first n terms of an arithmetic progression. If S 3 n = 3 S 2 n , then the value of S 4 n S 2 n is :25 Jul, 2021 (M)Arithmetic Progression
  4. 4The locus of the centroid of the triangle formed by any point P on the hyperbola 16 x 2 - 9 y 2 + 32 x + 36 y - 164 = 0 and its foci is25 Jul, 2021 (M)Locus
  5. 5Let the vectors 2 + a + b i ^ + a + 2 b + c j ^ - b + c k ^ , 1 + b i ^ + 2 b j ^ - b k ^ and 2 + b i ^ + 2 b j ^ + 1 - b k ^ , a , b , c R 25 Jul, 2021 (M)Algebra of Vectors
  6. 6Let f : R R be defined as f x = x 2 - 5 x + 6 5 x - x 2 - 6 x 2 e tan ( x - 2 ) x - [ x ] x 2 x = 2 where x is the greatest integer less tha25 Jul, 2021 (M)Continuity
  7. 7The value of the definite integral / 24 5 / 24 d x 1 + tan 2 x 3 is25 Jul, 2021 (M)Properties of Definite Integration
  8. 8If b is very small as compared to the value of a , so that the cube and other higher powers of b a can be neglected in the identity 1 a - b 25 Jul, 2021 (M)Binomial Theorem for Negative Index
  9. 9Let y = y ( x ) be the solution of the differential equation d y d x = 1 + x e y - x , - 2 x 2 , y 0 = 0 , then the minimum value of y x , x25 Jul, 2021 (M)Exact Forms
  10. 10The Boolean expression ( p q ) ( q ~ p ) is equivalent to :25 Jul, 2021 (M)Mathematical Reasoning
  11. 11The area (in sq. units) of the region, given by the set x , y R R x 0 , 2 x 2 y 4 - 2 x is :25 Jul, 2021 (M)Area bounded by two curves
  12. 12The sum of all values of x in [ 0 , 2 ] , for which sin x + sin 2 x + sin 3 x + sin 4 x = 0 , is equal to :25 Jul, 2021 (M)Solving Trigonometric Equation
  13. 13Let g : N N be defined as g ( 3 n + 1 ) = 3 n + 2 g ( 3 n + 2 ) = 3 n + 3 g ( 3 n + 3 ) = 3 n + 1 , for all n 0 Then which of the following 25 Jul, 2021 (M)Types of Function (Mapping)
  14. 14Let f : [ 0 , ) [ 0 , ) be defined as f x = 0 x y d y where [ x ] is the greatest integer less than or equal to x . Which of the following i25 Jul, 2021 (M)Differentiability
  15. 15The values of a and b , for which the system of equations 2 x + 3 y + 6 z = 8 x + 2 y + a z = 5 3 x + 5 y + 9 z = b has no solution, are :25 Jul, 2021 (M)System of Linear Equations
  16. 16Let 9 distinct balls be distributed among 4 boxes, B 1 , B 2 , B 3 and B 4 . If the probability that B 3 contains exactly 3 balls is k 3 4 925 Jul, 2021 (M)Classical Definition of Probability
  17. 17Let a parabola P be such that its vertex and focus lie on the positive x -axis at a distance 2 and 4 units from the origin, respectively. If25 Jul, 2021 (M)Tangent to Parabola
  18. 18Let an ellipse E : x 2 a 2 + y 2 b 2 = 1 , a 2 b 2 , passes through 3 2 , 1 and has eccentricity 1 3 . If a circle, centered at focus F ( , 25 Jul, 2021 (M)Equation of Ellipse
  19. 19Let the foot of perpendicular from a point P ( 1 , 2 , - 1 ) to the straight line L : x 1 = y 0 = z - 1 be N . Let a line be drawn from P pa25 Jul, 2021 (M)Line and Plane
  20. 20Let y = y ( x ) be solution of the following differential equation e y d y d x - 2 e y sin x + sin x cos 2 x = 0 , y 2 = 0 . If y 0 = log e 25 Jul, 2021 (M)Linear Differential Equation
  21. 21If the value of 1 + 2 3 + 6 3 2 + 10 3 3 + . . upto log 0 . 25 1 3 + 1 3 2 + 1 3 3 + . upto is l , then l 2 is equal to .25 Jul, 2021 (M)Arithmetic Geometric Progression
  22. 22Consider the following frequency distribution : class 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60 Frequency 110 54 30 If the sum of all frequenc25 Jul, 2021 (M)Median
  23. 23Let p = 2 i ^ + 3 j ^ + k ^ and q = i ^ + 2 j ^ + k ^ be two vectors. If a vector r = i ^ + j ^ + k ^ is perpendicular to each of the vector25 Jul, 2021 (M)Product of 2 vectors
  24. 24The ratio of the coefficient of the middle term in the expansion of ( 1 + x ) 20 and the sum of the coefficients of two middle terms in expa25 Jul, 2021 (M)Terms of Binomial Expansion
  25. 25Let M = A = a b c d : a , b , c , d 3 , 2 , 1 , 0 . Define f : M Z , as f A = det A , for all A M where Z is set of all integers. Then the n25 Jul, 2021 (M)Formation and Basic of Matrix
  26. 26There are 5 students in class 10 , 6 students in class 11 and 8 students in class 12 . If the number of ways, in which 10 students can be se25 Jul, 2021 (M)Arrangement under Constraint
  27. 27If , are roots of the equation x 2 + 5 2 x + 10 = 0 , and P n = n - n for each positive integer n , then the value of P 17 P 20 + 5 2 P 17 P25 Jul, 2021 (M)Relation between Roots and Coefficients
  28. 28The term independent of x in the expansion of x + 1 x 2 / 3 - x 1 / 3 + 1 - x - 1 x - x 1 / 2 10 , where x 0 , 1 is equal to25 Jul, 2021 (M)Terms of Binomial Expansion
  29. 29Let S = n N , 0 i 1 0 n a b c d = a b c d a , b , c , d R , where i = - 1 . Then the number of 2 - digit numbers in the set S is25 Jul, 2021 (M)Product of Matrices
  30. 30The number of real roots of the equation e 6 x - e 4 x - 2 e 3 x - 12 e 2 x + e x + 1 = 0 is:25 Jul, 2021 (M)Monotonicity

Physics

  1. 1For a gas C P - C V = R in a state P and C P - C V = 1 . 10 R in a state Q , T P and T Q are the temperatures in two different states P and 25 Jul, 2021 (M)Degree of Freedom and Specific Heat
  2. 2Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Moment of inertia of a ci25 Jul, 2021 (M)Moment of inertia of rigid bodies
  3. 3What should be the order of arrangement of de-Broglie wavelength of electron e , an -particle and proton p given that all have the same kine25 Jul, 2021 (M)Matter Waves
  4. 4Identify the logic operation carried out.25 Jul, 2021 (M)Logic gates
  5. 5A particle of mass 4 M at rest disintegrates into two particles of mass M and 3 M , respectively, having non zero velocities. The ratio of d25 Jul, 2021 (M)Matter Waves
  6. 6Some nuclei of a radioactive material are undergoing radioactive decay. The time gap between the instances when a quarter of the nuclei have25 Jul, 2021 (M)Radioactivity
  7. 7Match List I with List II. List I List II (a) C - A - B = 0 (i) (b) A - C - B = 0 (ii) (c) B - A - C = 0 (iii) (d) A + B = - C (iv) Choose t25 Jul, 2021 (M)Addition and Subtraction of Vectors
  8. 8A parallel plate capacitor with plate area A and distance of separation d is filled with a dielectric. What is the capacity of the capacitor25 Jul, 2021 (M)Capacitors with Dielectric
  9. 9A monoatomic ideal gas, initially at temperature T 1 is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expa25 Jul, 2021 (M)Thermodynamic Processes
  10. 10A ray of laser of a wavelength 630 nm is incident at an angle of 30 at the diamond-air interface. It is going from diamond to air. The refra25 Jul, 2021 (M)Refraction of light from plane surface
  11. 11Two wires of same length and radius are joined end to end and loaded. The Young s moduli of the materials of the two wires are Y 1 and Y 2 .25 Jul, 2021 (M)Young's Modulus and Breaking Stres
  12. 12The half-life of Au 198 is 3 days. If atomic weight of Au 198 is 198 g mol - 1 , then the activity of 2 mg of Au 198 is [in disintegration s25 Jul, 2021 (M)Radioactivity
  13. 13Two billiard balls of equal mass 30 g strike a rigid wall with same speed of 108 kmph (as shown) but at different angles. If the balls get r25 Jul, 2021 (M)Newton's laws of motion
  14. 14In the Young s double slit experiment, the distance between the slits varies in time as d t = d 0 + a 0 sin t ; where d 0 , and a 0 are cons25 Jul, 2021 (M)Youngs Double Slit Experiment
  15. 15Two different metal bodies A and B of equal mass are heated at a uniform rate under similar conditions. The variation of temperature of the 25 Jul, 2021 (M)Thermometry
  16. 16A linearly polarised electromagnetic wave in vacuum is E = 3 . 1 cos 1 . 8 z - 5 . 4 10 6 t i ^ N C - 1 is incident normally on a perfectly 25 Jul, 2021 (M)Electromagnetic Waves and Maxwell's equations
  17. 17In the given figure, there is a circuit of potentiometer of length A B = 10 m . The resistance per unit length is 0 . 1 per cm . Across A B 25 Jul, 2021 (M)Electric Instruments
  18. 18In amplitude modulation, the message signal V m ( t ) = 10 sin 2 10 5 t volts and carrier signal V C t = 20 sin 2 10 7 t volts. The modulate25 Jul, 2021 (M)Modulation
  19. 19Water droplets are coming from an open tap at a particular rate. The spacing between a droplet observed at 4 th second after its fall to the25 Jul, 2021 (M)Motion Under Gravity
  20. 20The minimum and maximum distances of a planet revolving around the Sun are x 1 and x 2 . If the minimum speed of the planet on its trajector25 Jul, 2021 (M)Gravitational potential and Potential Energy
  21. 21A body of mass 2 kg moving with a speed of 4 m s - 1 makes an elastic collision with another body at rest and continues to move in the origi25 Jul, 2021 (M)Collisions
  22. 22Student A and student B used two screw gauges of equal pitch and 100 equal circular divisions to measure the radius of a given wire. The act25 Jul, 2021 (M)Experimental Physics
  23. 23An inductor of 10 mH is connected to a 20 V battery through a resistor of 10 k and a switch. After a long time, when maximum current is set 25 Jul, 2021 (M)AC Circuits
  24. 24A circular conducting coil of radius 1 m is being heated by the change of magnetic field B passing perpendicular to the plane in which the c25 Jul, 2021 (M)Magnetic Flux, Faraday's and Lenz law
  25. 25In the reported figure, two bodies A and B of masses 200 g and 800 g are attached with the system of springs. Springs are kept in a stretche25 Jul, 2021 (M)Applications of SHM
  26. 26The value of aluminium susceptibility is 2 . 2 10 - 5 . The percentage increase in the magnetic field if space within a current carrying tor25 Jul, 2021 (M)Magnetism and Properties of Magnet
  27. 27A particle of mass 1 mg and charge q is lying at the mid-point of two stationary particles kept at a distance 2 m when each is carrying same25 Jul, 2021 (M)Electric Charge and Coulomb's law
  28. 28An electric bulb rated as 200 W at 100 V is used in a circuit having 200 V supply. The resistance R that must be put in series with the bulb25 Jul, 2021 (M)Electric Power and Heating Effect of Current
  29. 29A pendulum bob has a speed of 3 m s - 1 at its lowest position. The pendulum is 50 cm long. The speed of bob, when the length makes an angle25 Jul, 2021 (M)Applications of SHM
  30. 30A particle of mass m is moving in time t on a trajectory given by, r = 10 t 2 i ^ + 5 t - 5 j ^ where and are dimensional constants. The ang25 Jul, 2021 (M)Angular momentum and Angular impulse

Frequently Asked Questions

1.How many questions are in the JEE Main 2021 25th July Morning 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 morning 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 25th July 2021 morning shift.

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

The JEE Main 2021 25th July Evening Shift paper is listed separately - you can switch to it from the "JEE Main Paper Wise PYQs" panel, under JEE Main 25th July 2021.

5.What is the structure of the JEE Main 2021 25th July Morning Shift paper?

The JEE Main 2021 25th July Morning 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 2021 25th July Morning Shift paper?

Each question on MARKS carries a difficulty rating. Of the 90 rated questions in this paper, 29 (32%) are easy, 45 (50%) are medium and 16 (18%) are hard. Subject wise:

  • Chemistry: 11 easy, 15 medium, 4 hard
  • Mathematics: 10 easy, 14 medium, 6 hard
  • Physics: 8 easy, 16 medium, 6 hard
7.Which chapters had the most questions in the JEE Main 2021 25th July Morning Shift paper?

The chapters with the most questions in each subject were:

  • Chemistry: Amines (3), Alcohols Phenols and Ethers (2), and Coordination Compounds (2).
  • Mathematics: Binomial Theorem (3), Application of Derivatives (2), and Continuity and Differentiability (2).
  • Physics: Current Electricity (2), Dual Nature of Matter (2), and Nuclear Physics (2).
8.Are there any out-of-syllabus questions in the JEE Main 2021 25th July Morning Shift paper?

Yes. 19 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 2021 25th July Morning 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 2021 25th July Morning 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 2021 25th July Morning 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.