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JEE Main 2021 20th July Morning Shift

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Main 2021 20th 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 - 32 easy (36%), 44 moderate (49%) and 14 tough (16%). That's a fairly typical mix for this exam. By subject: Physics 40% easy, 43% moderate, 17% tough; Chemistry 33% easy, 53% moderate, 13% tough; Mathematics 33% easy, 50% moderate, 17% tough.

Chemistry questions were spread across 24 chapters, with Coordination Compounds (3), Alcohols Phenols and Ethers (2), and Amines (2) carrying the most weight. Mathematics questions were spread across 21 chapters, with Application of Derivatives (2), Binomial Theorem (2), and Definite Integration (2) carrying the most weight. Physics questions were spread across 20 chapters, with Thermodynamics (3), Alternating Current (2), and Center of Mass Momentum and Collision (2) carrying the most weight.

Chemistry

  1. 1According to the valence bond theory the hybridization of central metal atom is dsp 2 for which one of the following compounds?20 Jul, 2021 (M)Werner's theory and Valence Bond Theory
  2. 2The correct structure of Ruhemann s Purple, the compound formed in the reaction of Ninhydrin with proteins is:20 Jul, 2021 (M)Proteins
  3. 3Green chemistry in day-to-day life is in the use of:20 Jul, 2021 (M)Control of environmental pollution
  4. 4The correct order of intensity of colors of the compounds is:20 Jul, 2021 (M)Stability of complex ion
  5. 5The set in which compounds have different nature is:20 Jul, 2021 (M)Periodic properties
  6. 6The species given below that does NOT show disproportionation reaction is:20 Jul, 2021 (M)Types of redox reactions
  7. 7Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R . Assertion A : Sharp glass edge become20 Jul, 2021 (M)Properties and Types of Solids
  8. 8Orlon fibres are made up of:20 Jul, 2021 (M)Classification of Polymers
  9. 9Given below are two statements : One is labelled as Assertion A and other is labelled as Reason R . Assertion A : The dihedral angles in H 220 Jul, 2021 (M)Preparation and Properties of Hydrogen Peroxide
  10. 10Chemical nature of the nitrogen oxide compound obtained from a reaction of concentrated nitric acid and P 4 O 10 (in 4 : 1 ratio) is:20 Jul, 2021 (M)Nitrogen and Its Compounds
  11. 11An inorganic Compound X on treatment with concentrated H 2 SO 4 produces brown fumes and gives dark brown ring with FeSO 4 in presence of co20 Jul, 2021 (M)Quantitative measures in chemical equations
  12. 12Among the given species the Resonance stabilised carbocations are:20 Jul, 2021 (M)Electron displacement effects
  13. 13A s-block element (M) reacts with oxygen to form an oxide of the formula MO 2 . The oxide is pale yellow in colour and paramagnetic. The ele20 Jul, 2021 (M)Compounds of Alkali Metals
  14. 14In the given reaction 3 - Bromo - 2 , 2 - dimethyl butane C 2 H 5 OH A (Major Product) Product A is:20 Jul, 2021 (M)Preparation of Ethers
  15. 15The metal that can be purified economically by fractional distillation method is:20 Jul, 2021 (M)Refining of Crude Metal
  16. 16Compound A is converted to B on reaction with CHCl 3 and KOH . The compound B is toxic and can be decomposed by C . A , B and C respectively20 Jul, 2021 (M)Preparation and Properties of Amines
  17. 17The conditions given below are in the context of observing Tyndall effect in colloidal solutions: (A) The diameter of the colloidal particle20 Jul, 2021 (M)Colloids
  18. 18Identify the incorrect statement from the following.20 Jul, 2021 (M)Disaccharides and Polysaccharides
  19. 19Which among the above compound/s does/do not form Silver mirror when treated with Tollen s reagent?20 Jul, 2021 (M)Tests for aldehyde and ketones
  20. 20For above chemical reactions, identify the correct statement from the following:20 Jul, 2021 (M)Reactions of alkenes
  21. 21The number of lone pairs of electrons on the central I atom in I 3 - is20 Jul, 2021 (M)Hybridisation and VSEPR Theory
  22. 22250 mL of 0 . 5 M NaOH was added to 500 mL of 1 M HCl . The number of unreacted HCl molecules in the solution after the complete reaction is20 Jul, 2021 (M)Redox titration
  23. 23The Azimuthal quantum number for the valence electrons of Ga + ion is (Atomic number of Ga = 31 )20 Jul, 2021 (M)Quantum mechanical model
  24. 24The spin-only magnetic moment value for the complex Co ( CN ) 6 4 - is...... BM . (nearest integer value) [At. no. of Co = 27 ]20 Jul, 2021 (M)Werner's theory and Valence Bond Theory
  25. 252 SO 2 ( g ) + O 2 ( g ) 2 SO 3 ( g ) In an equilibrium mixture, the partial pressures are P SO 3 = 43 kPa ; P O 2 = 530 Pa and P SO 2 = 45 20 Jul, 2021 (M)Law of Mass Action, Equilibrium Constant (Kc and Kp) and its Application
  26. 26The number of nitrogen atoms in a semicarbazone molecule of acetone is_____20 Jul, 2021 (M)Preparation and Properties of Amines
  27. 27To synthesise 1 mole of 2 - methylpropan - 2 - ol from Ethylethanoate equivalents of CH 3 MgBr reagent will be required. (Integer value)20 Jul, 2021 (M)Preparation and Properties of Alcohols
  28. 28The inactivation rate of a viral preparation is proportional to the amount of virus. In the first minute after preparation, 10 % of the viru20 Jul, 2021 (M)Integrated rate laws
  29. 29An average person needs about 10000 kJ energy per day. The amount of glucose (molar mass = 180 . 0 g mol - 1 ) needed to meet this energy re20 Jul, 2021 (M)Laws of Thermochemistry and Enthalpy Change
  30. 30At 20 C , the vapour pressure of benzene is 70 torr and that of methyl benzene is 20 torr. The mole fraction of benzene in the vapour phase 20 Jul, 2021 (M)Vapour pressure and raoult's law

Mathematics

  1. 1The Boolean expression p ~ q q ~ p is equivalent to:20 Jul, 2021 (M)Mathematical Reasoning
  2. 2Let a be a positive real number such that 0 a e x - x d x = 10 e - 9 where, [ x ] is the greatest integer less than or equal to x . Then, a 20 Jul, 2021 (M)Properties of Definite Integration
  3. 3The mean of 6 distinct observations is 6 . 5 and their variance is 10 . 25 . If 4 out of 6 observations are 2 , 4 , 5 and 7 , then the remai20 Jul, 2021 (M)Measures of Dispersion
  4. 4The value of the integral - 1 1 log e 1 - x + 1 + x d x is equal to:20 Jul, 2021 (M)Definite Integration by Parts
  5. 5If and are the distinct roots of the equation x 2 + 3 1 4 x + 3 1 2 = 0 , then the value of 96 12 - 1 + 96 12 - 1 is equal to:20 Jul, 2021 (M)Relation between Roots and Coefficients
  6. 6Let A = 2 3 a 0 , a R be written as P + Q where P is a symmetric matrix and Q is skew symmetric matrix. If det Q = 9 , then the modulus of t20 Jul, 2021 (M)Symmetric & Skew Symmetric Matrices
  7. 7If z and are two complex numbers such that z = 1 and arg z - arg = 3 2 , then arg 1 - 2 z 1 + 3 z is: (Here arg z denotes the principal argu20 Jul, 2021 (M)Euler Form and De Moivres Theorem
  8. 8If in a triangle A B C , A B = 5 units, B = cos - 1 3 5 and radius of circumcircle of A B C is 5 units, then the area (in sq. units) of A B 20 Jul, 2021 (M)Sine Rule and its application
  9. 9Let x denote the greatest integer x , where x R . If the domain of the real valued function f x = x - 2 x - 3 is - , a b , c 4 , , a b c , t20 Jul, 2021 (M)Domain
  10. 10Let y = y x be the solution of the differential equation x tan y x d y = y tan y x - x d x , - 1 x 1 , y 1 2 = 6 . Then the area of the regi20 Jul, 2021 (M)Variable Separable Form
  11. 11The coefficient of x 256 in the expansion of 1 - x 101 x 2 + x + 1 100 is:20 Jul, 2021 (M)Terms of Binomial Expansion
  12. 12Let A = a i j be a 3 3 matrix, where a i j = 1 , if i = j - x , if i - j = 1 2 x + 1 , otherwise Let a function f : R R be defined as f x = 20 Jul, 2021 (M)Maxima Minima
  13. 13Let a = 2 i ^ + j ^ - 2 k ^ and b = i ^ + j ^ . If c is a vector such that a c = | c | , | c - a | = 2 2 and the angle between a b and c is 20 Jul, 2021 (M)Product of 2 vectors
  14. 14The number of real roots of the equation tan - 1 x x + 1 + sin - 1 x 2 + x + 1 = 4 is:20 Jul, 2021 (M)Principal Value and Basics
  15. 15Let y = y x be the solution of the differential equation e x 1 - y 2 d x + y x d y = 0 , y 1 = - 1 Then the value of y 3 2 is equal to:20 Jul, 2021 (M)Variable Separable Form
  16. 16Let a be a real number such that the function f ( x ) = a x 2 + 6 x - 15 , x R is increasing in - , 3 4 and decreasing in 3 4 , . Then the f20 Jul, 2021 (M)Maxima Minima
  17. 17Let a function f : R R be defined as, f x = sin x e x if x 0 a + - x if 0 x 1 2 x b if x 1 Where x is the greatest integer less than or equa20 Jul, 2021 (M)Continuity
  18. 18Words with or without meaning are to be formed using all the letters of the word EXAMINATION . The probability that the letter M appears at 20 Jul, 2021 (M)Classical Definition of Probability
  19. 19The probability of selecting integers a - 5 , 30 such that x 2 + 2 a + 4 x - 5 a + 64 0 , for all x R , is:20 Jul, 2021 (M)Graph and Sign of Quadratic
  20. 20Let the tangent to the parabola S : y 2 = 2 x at the point P 2 , 2 meet the x - axis at Q and normal at it meet the parabola S at the point 20 Jul, 2021 (M)Normal to Parabola
  21. 21Let a , b , c be three mutually perpendicular vectors of the same magnitude and equally inclined at an angle , with the vector a + b + c . T20 Jul, 2021 (M)Product of 2 vectors
  22. 22Let A = 1 - 1 0 0 1 - 1 0 0 1 and B = 7 A 20 - 20 A 7 + 2 I , where I is an identity matrix of order 3 3 . If B = b i j , then b 13 is equal20 Jul, 2021 (M)Product of Matrices
  23. 23Let P be a plane passing through the points ( 1 , 0 , 1 ) , ( 1 , - 2 , 1 ) and ( 0 , 1 , - 2 ) . Let a vector a = i ^ + j ^ + k ^ be such t20 Jul, 2021 (M)Plane in Space
  24. 24The number of rational terms in the binomial expansion of 4 1 4 + 5 1 6 120 is_______.20 Jul, 2021 (M)Terms of Binomial Expansion
  25. 25If the shortest distance between the lines r 1 = i ^ + 2 j ^ + 2 k ^ + i ^ - 2 j ^ + 2 k ^ , R , 0 and r 2 = - 4 i ^ - k ^ + 3 i ^ - 2 j ^ -20 Jul, 2021 (M)Line in Space
  26. 26Let T be the tangent to the ellipse E : x 2 + 4 y 2 = 5 at the point P ( 1 , 1 ) . If the area of the region bounded by the tangent T , elli20 Jul, 2021 (M)Area bounded by Miscellaneous Curves
  27. 27Let a , b , c , d be in arithmetic progression with common difference . If x + a - c x + b x + a x - 1 x + c x + b x - b + d x + d x + c = 220 Jul, 2021 (M)Expansion of Determinants
  28. 28There are 15 players in a cricket team, out of which 6 are bowlers, 7 are batsmen and 2 are wicketkeepers. The number of ways, a team of 11 20 Jul, 2021 (M)Selection of one or more item
  29. 29Let y = m x + c , m 0 be the focal chord of y 2 = - 64 x , which is tangent to ( x + 10 ) 2 + y 2 = 4 . Then, the value of 4 2 ( m + c ) is 20 Jul, 2021 (M)Common Tangent
  30. 30If the value of lim x 0 2 - cos x cos 2 x x + 2 x 2 is equal to e a , then a is equal to_____.20 Jul, 2021 (M)Special Forms

Physics

  1. 1The value of current in the 6 resistance is:20 Jul, 2021 (M)Kirchoffs Laws
  2. 2The normal reaction N for a vehicle of 800 kg mass, negotiating a turn on a 30 banked road at maximum possible speed without skidding is ___20 Jul, 2021 (M)Non-uniform Circular Motion
  3. 3A radioactive material decays by simultaneous emissions of two particles with half lives of 1400 years and 700 years, respectively. What wil20 Jul, 2021 (M)Radioactivity
  4. 4A steel block of 10 kg rests on a horizontal floor as shown. When three iron cylinders are placed on it as shown, the block and cylinders go20 Jul, 2021 (M)Frictional force
  5. 5A C voltage V ( t ) = 20 sin t of frequency 50 Hz is applied to a parallel plate capacitor. The separation between the plates is 2 mm and th20 Jul, 2021 (M)Alternating Current, Voltage and Power
  6. 6Region I and II are separated by a spherical surface of radius 25 cm . An object is kept in region I at a distance of 40 cm from the surface20 Jul, 2021 (M)Mirror Formula, Reflection in Spherical Mirror
  7. 7A person whose mass is 100 kg travels from Earth to Mars in a spaceship. Neglect all other objects in sky and take acceleration due to gravi20 Jul, 2021 (M)Newton's Law of Gravitation
  8. 8The amount of heat needed to raise the temperature of 4 moles of a rigid diatomic gas from 0 C to 50 C when no work is done is ( R is the un20 Jul, 2021 (M)First Law of Thermodynamics
  9. 9If A and B are two vectors satisfying the relation A B = | A B | . Then the value of | A - B | will be:20 Jul, 2021 (M)Addition and Subtraction of Vectors
  10. 10A deuteron and an alpha particle having equal kinetic energy enter perpendicular into a magnetic field. Let r d and r be their respective ra20 Jul, 2021 (M)Motion of Charged Particle in Magnetic Field
  11. 11A nucleus of mass M emits -ray photon of frequency v . The loss of internal energy by the nucleus is: [Take c as the speed of electromagneti20 Jul, 2021 (M)Radioactivity
  12. 12A certain charge Q is divided into two parts q and ( Q - q ) . How should the charges Q and q be divided so that q and ( Q - q ) placed at a20 Jul, 2021 (M)Electric Charge and Coulomb's law
  13. 13A current of 5 A is passing through a non-linear magnesium wire of cross-section 0 . 04 m 2 . At every point the direction of current densit20 Jul, 2021 (M)Electric Current and Drift of Electrons
  14. 14Consider a mixture of gas molecule of types A , B and C having masses m A m B m C . The ratio of their root mean square speeds at normal tem20 Jul, 2021 (M)Speed of Gas
  15. 15A butterfly is flying with a velocity 4 2 m s - 1 in north-east direction. Wind is slowly blowing at 1 m s - 1 from north to south. The resu20 Jul, 2021 (M)Relative motion
  16. 16The value of tension in a long thin metal wire has been changed from T 1 to T 2 . The lengths of the metal wire at two different values of t20 Jul, 2021 (M)Young's Modulus and Breaking Stres
  17. 17For the circuit shown below, calculate the value of I z :20 Jul, 2021 (M)Diodes
  18. 18The arm P Q of a rectangular conductor is moving from x = 0 to x = 2 b outwards and then inwards from x = 2 b to x = 0 as shown in the figur20 Jul, 2021 (M)Magnetic Flux, Faraday's and Lenz law
  19. 19The entropy of any system is given by, S = 2 ln kR J 2 + 3 where and are the constants. , J , k and R are number of moles, mechanical equiva20 Jul, 2021 (M)Heat Engine, Refrigerator and Second Law of Thermodynamics
  20. 20The radiation corresponding to 3 2 transition of a hydrogen atom falls on a gold surface to generate photoelectrons. These electrons are pas20 Jul, 2021 (M)Bohr's Atomic Model
  21. 21In a spring gun having spring constant 100 N m - 1 a small ball B of mass 100 g is put in its barrel (as shown in figure) by compressing the20 Jul, 2021 (M)Projectile motion
  22. 22In an L C R series circuit, an inductor 30 mH and a resistor 1 are connected to an AC source of angular frequency 300 rad s - 1 . The value 20 Jul, 2021 (M)AC Circuits
  23. 23The amplitude of wave disturbance propagating in the positive x -direction is given by y = 1 ( 1 + x ) 2 at time t = 0 and y = 1 1 + ( x - 220 Jul, 2021 (M)Speed of Sound Waves
  24. 24A body having specific charge 8 C g - 1 is resting on a frictionless plane at a distance 10 cm from the wall (as shown in the figure). It st20 Jul, 2021 (M)Collisions
  25. 25In the reported figure, heat energy absorbed by a system in going through a cyclic process is ______ J .20 Jul, 2021 (M)Thermodynamic Processes
  26. 26A circular disc reaches from top to bottom of an inclined plane of length L . When it slips down the plane, it takes time t 1 . When it roll20 Jul, 2021 (M)Rolling without Slipping
  27. 27A rod of mass M and length L is lying on a horizontal frictionless surface. A particle of mass m travelling along the surface hits at one en20 Jul, 2021 (M)Collisions
  28. 28An object viewed from a near point distance of 25 cm , using a microscopic lens with magnification 6 , gives an unresolved image. A resolved20 Jul, 2021 (M)Optical Instruments
  29. 29The frequency of a car horn encountered a change from 400 Hz to 500 Hz . When the car approaches a vertical wall. If the speed of sound is 320 Jul, 2021 (M)Doppler's Effect
  30. 30A carrier wave V C ( t ) = 160 sin 2 10 6 t volts is made to vary between V max = 200 V and V min = 120 V by a message signal V m ( t ) = A 20 Jul, 2021 (M)Modulation

Frequently Asked Questions

1.How many questions are in the JEE Main 2021 20th 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 20th July 2021 morning shift.

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

The JEE Main 2021 20th July Evening Shift paper is listed separately - you can switch to it from the "JEE Main Paper Wise PYQs" panel, under JEE Main 20th July 2021.

5.How is the JEE Main 2021 20th July Morning Shift paper structured?

The JEE Main 2021 20th 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.How difficult is the JEE Main 2021 20th July Morning Shift paper?

Each question on MARKS carries a difficulty rating. Of the 90 rated questions in this paper, 32 (36%) are easy, 44 (49%) are medium and 14 (16%) are hard. Subject wise:

  • Chemistry: 10 easy, 16 medium, 4 hard
  • Mathematics: 10 easy, 15 medium, 5 hard
  • Physics: 12 easy, 13 medium, 5 hard
7.Which chapters were asked the most in the JEE Main 2021 20th July Morning Shift paper?

The chapters with the most questions in each subject were:

  • Chemistry: Coordination Compounds (3), Alcohols Phenols and Ethers (2), and Amines (2).
  • Mathematics: Application of Derivatives (2), Binomial Theorem (2), and Definite Integration (2).
  • Physics: Thermodynamics (3), Alternating Current (2), and Center of Mass Momentum and Collision (2).
8.Are there any out-of-syllabus questions in the JEE Main 2021 20th July Morning Shift paper?

Yes. 17 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 20th 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 20th 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 20th 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.