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JEE Advanced 2021 Paper 1

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Advanced 2021 Paper 1 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 paper as a PDF.

This paper has 57 questions in total - 11 easy (19%), 35 moderate (61%) and 11 tough (19%). That's a fairly typical mix for this exam. By subject: Physics 21% easy, 63% moderate, 16% tough; Chemistry 16% easy, 58% moderate, 26% tough; Mathematics 21% easy, 63% moderate, 16% tough.

Chemistry questions were spread across 13 chapters, with Thermodynamics (C) (3), Coordination Compounds (2), and General Organic Chemistry (2) carrying the most weight. Mathematics questions were spread across 11 chapters, with Probability (4), Straight Lines (3), and Complex Number (2) carrying the most weight. Physics questions were spread across 13 chapters, with Rotational Motion (3), Capacitance (2), and Electrostatics (2) carrying the most weight.

Chemistry

  1. 1The major product formed in the following reaction is2021 (Paper 1)Properties and Preparation of Alkenes
  2. 2Among the following, the conformation that corresponds to the most stable conformation of meso -butane- 2 , 3 -diol is2021 (Paper 1)Isomerism of Organic Compounds
  3. 3For the given close packed structure of a salt made of cation X and anion Y shown below (ions of only one face are shown for clarity), the p2021 (Paper 1)Cubic system
  4. 4The calculated spin only magnetic moments of Cr NH 3 6 3 + and CuF 6 3 - in BM , respectively, are (Atomic numbers of Cr and Cu are 24 and 22021 (Paper 1)Werner's theory and Valence Bond Theory
  5. 5For the following reaction scheme, percentage yields are given along the arrow: and are mass of and , respectively. (Use: Molar mass (in ) o2021 (Paper 1)Quantitative measures in chemical equations
  6. 6For the following reaction scheme, percentage yields are given along the arrow: and are mass of and , respectively. (Use: Molar mass (in ) o2021 (Paper 1)Quantitative measures in chemical equations
  7. 7For the reaction, , the plot of versus is given below (in solid line), where is the pressure (in bar) of the gas at temperature and bar. (Gi2021 (Paper 1)Third law of thermodynamics
  8. 8For the reaction, , the plot of versus is given below (in solid line), where is the pressure (in bar) of the gas at temperature and bar. (Gi2021 (Paper 1)Third law of thermodynamics
  9. 9The boiling point of water in a molal silver nitrate solution (solution ) is . To this solution , an equal volume of molal aqueous barium ch2021 (Paper 1)Colligative Properties and Abnormal Molecular Masses
  10. 10The boiling point of water in a molal silver nitrate solution (solution ) is . To this solution , an equal volume of molal aqueous barium ch2021 (Paper 1)Colligative Properties and Abnormal Molecular Masses
  11. 11Given: The compound s , which on reaction with HNO 3 will give the product having degree of rotation, D = 52 .7 is (are)2021 (Paper 1)Carbohydrates
  12. 12The reaction of Q with PhSNa yields an organic compound (major product) that gives positive Carius test on treatment with Na 2 O 2 followed 2021 (Paper 1)Qualitative analysis of organic compounds
  13. 13The correct statement s related to colloids is(are)2021 (Paper 1)Colloids
  14. 14An ideal gas undergoes a reversible isothermal expansion from state I to state II followed by a reversible adiabatic expansion from state II2021 (Paper 1)First Law and Basic Fundamentals of Thermodynamics
  15. 15The correct statement s related to the metal extraction processes is(are)2021 (Paper 1)Reduction to Crude Metal
  16. 16A mixture of two salts is used to prepare a solution S , which gives the following results: White precipitate s only Room temperature Dilute2021 (Paper 1)Identification of Basic Radicals
  17. 17The maximum number of possible isomers (including stereoisomers) which may be formed on mono -bromination of 1 -methylcyclohex- 1 -ene using2021 (Paper 1)Preparation and Properties of Monohalides
  18. 18In the reaction given below, the total number of atoms having sp 2 hybridization in the major product P is ___.2021 (Paper 1)Methods of Preparation of Carbonyl Compounds
  19. 19The total number of possible isomers for Pt NH 3 4 Cl 2 Br 2 is___.2021 (Paper 1)Isomerism of coordination compounds

Mathematics

  1. 1Consider a triangle whose two sides lie on the x -axis and the line x + y + 1 = 0 . If the orthocenter of is ( 1 , 1 ) , then the equation o2021 (Paper 1)Coordinate System
  2. 2The area of the region ( x , y ) : 0 x 9 4 , 0 y 1 , x 3 y , x + y 2 is2021 (Paper 1)Area bounded by Miscellaneous Curves
  3. 3Consider three sets E 1 = { 1 , 2 , 3 } , F 1 = { 1 , 3 , 4 } and G 1 = { 2 , 3 , 4 , 5 } . Two elements are chosen at random, without repla2021 (Paper 1)Conditional Probability and Multiplication Theorem
  4. 4Let 1 , 2 , , 10 be positive valued angles (in radian) such that 1 + 2 + + 10 = 2 . Define the complex numbers z 1 = e i 1 , z k = z k - 1 e2021 (Paper 1)Conjugate, modulus and argument
  5. 5Three numbers are chosen at random, one after another with replacement, from the set . Let be the probability that the maximum of chosen num2021 (Paper 1)Conditional Probability and Multiplication Theorem
  6. 6Three numbers are chosen at random, one after another with replacement, from the set . Let be the probability that the maximum of chosen num2021 (Paper 1)Conditional Probability and Multiplication Theorem
  7. 7Let and be real numbers such that the system of linear equations is consistent. Let represent the determinant of the matrix Let be the plane2021 (Paper 1)System of Linear Equations
  8. 8Let and be real numbers such that the system of linear equations is consistent. Let represent the determinant of the matrix Let be the plane2021 (Paper 1)System of Linear Equations
  9. 9Consider the lines and defined by For a fixed constant , let be the locus of a point such that the product of the distance of from and the d2021 (Paper 1)Locus
  10. 10Consider the lines and defined by For a fixed constant , let be the locus of a point such that the product of the distance of from and the d2021 (Paper 1)Locus
  11. 11For any 3 3 matrix M , let | M | denote the determinant of M . Let E = 1 2 3 2 3 4 8 13 18 , P = 1 0 0 0 0 1 0 1 0 F = 1 3 2 8 18 13 2 4 3 I2021 (Paper 1)Basic Algebra of Matrices
  12. 12Let f : R R be defined by f x = x 2 - 3 x - 6 x 2 + 2 x + 4 Then which of the following statements is(are) TRUE?2021 (Paper 1)Maxima Minima
  13. 13Let E , F and G be three events having probabilities P ( E ) = 1 8 , P ( F ) = 1 6 and P ( G ) = 1 4 , and let P ( E F G ) = 1 10 For any ev2021 (Paper 1)Classical Definition of Probability
  14. 14For any 3 3 matrix M , let | M | denote the determinant of M . Let I be the 3 3 identity matrix. Let E and F be two 3 3 matrices such that (2021 (Paper 1)Inverse of a Matrix
  15. 15For any positive integer n , let S n : ( 0 , ) R be defined by S n x = k = 1 n cot - 1 1 + k ( k + 1 ) x 2 x where for any x R , cot - 1 ( x2021 (Paper 1)Infinite Series
  16. 16For any complex number w = c + i d , let arg w ( - , ] , where i = - 1 . Let and be real numbers such that for all complex numbers z = x + i2021 (Paper 1)Geometry of Complex Number
  17. 17For x R , the number of real roots of the equation 3 x 2 - 4 x 2 - 1 + x - 1 = 0 is2021 (Paper 1)N degree equation
  18. 18In a triangle A B C , let A B = 23 , B C = 3 and C A = 4 . Then the value of cot A + cot C cot B is2021 (Paper 1)Cosine Rule and Projection Formula
  19. 19Let u , v and w be vectors in three-dimensional space, where u and v are unit vectors which are not perpendicular to each other and u w = 1 2021 (Paper 1)Scalar Triple Product

Physics

  1. 1The smallest division on the main scale of a Vernier calipers is 0 . 1 cm . Ten divisions of the Vernier scale correspond to nine divisions 2021 (Paper 1)Experimental Physics
  2. 2An ideal gas undergoes a four step cycle as shown in the P - V diagram below. During this cycle, heat is absorbed by the gas in:2021 (Paper 1)Thermodynamic Processes
  3. 3An extended object is placed at point O , 10 cm in front of a convex lens L 1 and a concave lens L 2 is placed 10 cm behind it, as shown in 2021 (Paper 1)Lens Formula, Refraction of light from curved surface
  4. 4A heavy nucleus Q of half-life 20 minutes undergoes alpha-decay with probability of 60 % and beta-decay with probability of 40 % . Initially2021 (Paper 1)Radioactivity
  5. 5A projectile is thrown from a point on the ground at an angle from the vertical and with a speed . The projectile at the highest point of it2021 (Paper 1)Projectile motion
  6. 6A projectile is thrown from a point on the ground at an angle from the vertical and with a speed . The projectile at the highest point of it2021 (Paper 1)Projectile motion
  7. 7In the circuit shown below, the switch is connected to position for a long time so that the charge on the capacitor becomes . Then is switch2021 (Paper 1)Charging and Discarging of capacitors
  8. 8In the circuit shown below, the switch is connected to position for a long time so that the charge on the capacitor becomes . Then is switch2021 (Paper 1)Charging and Discarging of capacitors
  9. 9Two point charges and are placed in the -plane at the origin and a point , respectively, as shown in the figure. This results in an equipote2021 (Paper 1)Electric Potential and Potential Energy
  10. 10Two point charges and are placed in the -plane at the origin and a point , respectively, as shown in the figure. This results in an equipote2021 (Paper 1)Electric Potential and Potential Energy
  11. 11A horizontal force F is applied at the centre of mass of a cylindrical object of mass m and radius R , perpendicular to its axis as shown in2021 (Paper 1)Rolling without Slipping
  12. 12A wide slab consisting of two media of refractive indices n 1 and n 2 is placed in air as shown in the figure. A ray of light is incident fr2021 (Paper 1)Refraction of light from plane surface
  13. 13A particle of mass M = 0 . 2 kg is initially at rest in the x y -plane at a point x = l , y = h , where l = 10 m and h = 1 m . The particle 2021 (Paper 1)Angular momentum and Angular impulse
  14. 14Which of the following statement(s) is (are) correct about the spectrum of hydrogen atom?2021 (Paper 1)Atomic Spectrum
  15. 15A long straight wire carries a current, I = 2 ampere. A semi-circular conducting rod is placed beside it on two conducting parallel rails of2021 (Paper 1)Motional and Rotational EMF
  16. 16A cylindrical tube, with its base as shown in the figure., is filled with water. It is moving down with a constant acceleration a along a fi2021 (Paper 1)Pascal's Law
  17. 17An -particle (mass 4 amu) and a singly charged Sulphur ion (mass 32 amu) are initially at rest. They are accelerated through a potential V a2021 (Paper 1)Motion of Charged Particle in Magnetic Field
  18. 18A thin rod of mass M and length a is free to rotate in horizontal plane about a fixed vertical axis passing through point O . A thin circula2021 (Paper 1)Angular momentum and Angular impulse
  19. 19A small object is placed at the centre of a large evacuated hollow spherical container. Assume the container is maintained at 0 K . At time 2021 (Paper 1)Radiation

Frequently Asked Questions

1.How many questions are in the JEE Advanced 2021 Paper 1 paper?

This paper has 57 questions in total - 19 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 paper.

3.Where can I find the Paper 2 paper for the same year?

The JEE Advanced 2021 Paper 2 paper is listed separately - you can switch to it from the "JEE Advanced Paper Wise PYQs" panel, under JEE Advanced 2021.

4.How is the JEE Advanced 2021 Paper 1 paper structured?

The JEE Advanced 2021 Paper 1 paper on MARKS has 57 questions, organised by subject:

  • Chemistry: 19 questions - 4 single-correct, 6 multiple-correct, and 9 numerical-value.
  • Mathematics: 19 questions - 4 single-correct, 6 multiple-correct, and 9 numerical-value.
  • Physics: 19 questions - 4 single-correct, 6 multiple-correct, and 9 numerical-value.
5.How difficult is the JEE Advanced 2021 Paper 1 paper?

Each question on MARKS carries a difficulty rating. Of the 57 rated questions in this paper, 11 (19%) are easy, 35 (61%) are medium and 11 (19%) are hard. Subject wise:

  • Chemistry: 3 easy, 11 medium, 5 hard
  • Mathematics: 4 easy, 12 medium, 3 hard
  • Physics: 4 easy, 12 medium, 3 hard
6.Which chapters were asked the most in the JEE Advanced 2021 Paper 1 paper?

The chapters with the most questions in each subject were:

  • Chemistry: Thermodynamics (C) (3), Coordination Compounds (2), and General Organic Chemistry (2).
  • Mathematics: Probability (4), Straight Lines (3), and Complex Number (2).
  • Physics: Rotational Motion (3), Capacitance (2), and Electrostatics (2).
7.Where can I find the solutions for the JEE Advanced 2021 Paper 1 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 paper is coming soon.

8.How should I use the JEE Advanced 2021 Paper 1 paper to check my preparation?

Set a timer, attempt the 57 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 Advanced. Repeating this with other papers shows whether the same weak spots keep coming back.

9.Will the JEE Advanced 2021 Paper 1 paper help me prepare for JEE Advanced 2027?

Yes. Every past paper shows the question styles and topics JEE Advanced 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.