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JEE Main 2021 31st August Morning Shift

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Main 2021 31st August 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%), 51 moderate (57%) and 10 tough (11%). That's a fairly typical mix for this exam. By subject: Physics 27% easy, 60% moderate, 13% tough; Chemistry 40% easy, 57% moderate, 3% tough; Mathematics 30% easy, 53% moderate, 17% tough.

Chemistry questions were spread across 22 chapters, with Alcohols Phenols and Ethers (3), General Organic Chemistry (2), and Haloalkanes and Haloarenes (2) carrying the most weight. Mathematics questions were spread across 23 chapters, with Definite Integration (3), Application of Derivatives (2), and Continuity and Differentiability (2) carrying the most weight. Physics questions were spread across 24 chapters, with Current Electricity (3), Mechanical Properties of Solids (2), and Ray Optics (2) carrying the most weight.

Chemistry

  1. 1Which one of the following compounds contains - C 1 - C 4 glycosidic linkage ?31 Aug, 2021 (M)Disaccharides and Polysaccharides
  2. 2The denticity of an organic ligand, biuret is :31 Aug, 2021 (M)Terminology of coordination compounds
  3. 3The major product formed in the following reaction is :31 Aug, 2021 (M)Classification of Polymers
  4. 4Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): Treatment of bromi31 Aug, 2021 (M)Extraction of Metals
  5. 5Select the graph that correctly describes the adsorption isotherms at two temperatures T 1 and T 2 T 1 T 2 for a gas : ( x - mass of the gas31 Aug, 2021 (M)Adsorption isotherms
  6. 6BOD values (in ppm ) for clean water (A) and polluted water (B) are expected respectively as:31 Aug, 2021 (M)Water Pollution
  7. 7Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Assertion (A): A simple distillation can be u31 Aug, 2021 (M)Purification of Organic Compounds
  8. 8Monomer of Novolac is :31 Aug, 2021 (M)Preparation and Properties of Hydrogen
  9. 9Given below are two statements : Statement I : The process of producing syn-gas is called gasification of coal. Statement II : The compositi31 Aug, 2021 (M)Preparation and Properties of Alcohols
  10. 10In the structure of the dichromate ion, there is a :31 Aug, 2021 (M)Compounds of Transition Metals
  11. 11The structure of product C , formed by the following sequence of reactions is : CH 3 COOH + SOCl 2 A AlCl 3 Benzene B - OH KCN C31 Aug, 2021 (M)Preparation and Properties of Monohalides
  12. 12Which one of the following lanthanides exhibits + 2 oxidation state with diamagnetic nature ? (Given Z for Nd = 60 , Yb = 70 , La = 57 , Ce 31 Aug, 2021 (M)F-Block elements
  13. 13The major products A and B in the following set of reactions are:31 Aug, 2021 (M)Reactions of Alcohols
  14. 14Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Metallic characte31 Aug, 2021 (M)Periodic properties
  15. 15Choose the correct name for compound given below :31 Aug, 2021 (M)IUPAC Nomenclature
  16. 16The major component/ingredient of Portland Cement is :31 Aug, 2021 (M)Properties of S-block elements
  17. 17Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Aluminium is extr31 Aug, 2021 (M)Reactions of Alcohols
  18. 18Which one of the following is the correct PV vs P plot at constant temperature for an ideal gas ? ( P and V stand for pressure and volume of31 Aug, 2021 (M)Gas laws and Ideal Gas Equation
  19. 19Which one of the following 0 . 10 M aqueous solutions will exhibit the largest freezing point depression?31 Aug, 2021 (M)Colligative Properties and Abnormal Molecular Masses
  20. 20The correct order of reactivity of the given chlorides with acetate in acetic acid is :31 Aug, 2021 (M)Preparation and Properties of Monohalides
  21. 21According to the following figure, the magnitude of the enthalpy change of the reaction A + B M + N in kJ mol - 1 is equal to __________ . (31 Aug, 2021 (M)Laws of Thermochemistry and Enthalpy Change
  22. 22The number of hydrogen bonded water molecule(s) associated with stoichiometry CuSO 4 5 H 2 O is __________ .31 Aug, 2021 (M)Preparation and Properties of Water
  23. 23The total number of reagents from those given below, that can convert nitrobenzene into aniline is __________ . (Integer answer) I. Sn - HCl31 Aug, 2021 (M)Preparation and Properties of Amines
  24. 24For a first order reaction, the ratio of the time for 75 % completion of a reaction to the time for 50 % completion is ___________ . (Intege31 Aug, 2021 (M)Integrated rate laws
  25. 25Ge Z = 32 in its ground state electronic configuration has x completely filled orbitals with m l = 0 . The value of x is __________ .31 Aug, 2021 (M)Electronic configuration
  26. 26The molarity of the solution prepared by dissolving 6 . 3 g of oxalic acid H 2 C 2 O 4 2 H 2 O in 250 mL of water in mol L - 1 is x 10 - 2 .31 Aug, 2021 (M)Solubility and Concentration of Solutions
  27. 27Consider the following cell reaction Cd ( s ) + Hg 2 SO 4 ( s ) + 9 5 H 2 O ( l ) CdSO 4 9 5 H 2 O ( s ) + 2 Hg ( l ) . The value of E cell 31 Aug, 2021 (M)Cells and Electrode Potential, Nernst Equation
  28. 28Consider the sulphides HgS , PbS , CuS , Sb 2 S 3 , As 2 S 3 and CdS . Number of these sulphides soluble in 50 % HNO 3 is ___________ .31 Aug, 2021 (M)Sulphur and Its Compounds
  29. 29A 3 B 2 is a sparingly soluble salt of molar mass M g mol - 1 and solubility x g L - 1 . The solubility product satisfies K sp = a x M 5 . T31 Aug, 2021 (M)Solubility
  30. 30The number of halogen/(s) forming halic V acid is __________ .31 Aug, 2021 (M)Halogens and Its Compounds

Mathematics

  1. 1If d y d x = 2 x + y - 2 x 2 y , y 0 = 1 , then y ( 1 ) is equal to :31 Aug, 2021 (M)Variable Separable Form
  2. 2Let * , { , } be such that the Boolean expression ( p * ~ q ) ( p q ) is a tautology. Then :31 Aug, 2021 (M)Mathematical Reasoning
  3. 3If a r = cos 2 r 9 + i sin 2 r 9 , r = 1 , 2 , 3 , , i = - 1 , then the determinant a 1 a 2 a 3 a 4 a 5 a 6 a 7 a 8 a 9 is equal to :31 Aug, 2021 (M)Expansion of Determinants
  4. 4The number of real roots of the equation e 4 x + 2 e 3 x - e x - 6 = 0 is :31 Aug, 2021 (M)Monotonicity
  5. 5cosec 18 is a root of the equation:31 Aug, 2021 (M)Sum and Difference & Multiple angle Formula
  6. 6The sum of 10 terms of the series 3 1 2 2 2 + 5 2 2 3 2 + 7 3 2 4 2 + is :31 Aug, 2021 (M)Summation of Series
  7. 7The function f x = x 2 - 2 x - 3 e 9 x 2 - 12 x + 4 is not differentiable at exactly :31 Aug, 2021 (M)Differentiability
  8. 8Let a and b be two vectors such that | 2 a + 3 b | = | 3 a + b | and the angle between a and b is 60 . If 1 8 a is a unit vector, then | b |31 Aug, 2021 (M)Product of 2 vectors
  9. 9If p and q are the lengths of the perpendiculars from the origin on the lines, x cosec - y sec = k cot 2 and x sin + y cos = k sin 2 respect31 Aug, 2021 (M)Point and Line
  10. 10The line 12 x cos + 5 y sin = 60 is tangent to which of the following curves ?31 Aug, 2021 (M)Tangent to ellipse
  11. 11lim x 0 sin 2 cos 4 x x 4 is equal to :31 Aug, 2021 (M)Trigonometric and Inverse Trigonometric limits
  12. 12Let f be a non-negative function in [ 0 , 1 ] and twice differentiable in ( 0 , 1 ) . If 0 x 1 - f ( t ) 2 dt = 0 x f ( t ) dt , 0 x 1 and f31 Aug, 2021 (M)Leibnitz Rule of Differentiation
  13. 13Let the equation of the plane, that passes through the point ( 1 , 4 , - 3 ) and contains the line of intersection of the planes 3 x - 2 y +31 Aug, 2021 (M)Plane in Space
  14. 14The length of the latus rectum of a parabola, whose vertex and focus are on the positive x -axis at a distance R and S ( R ) respectively fr31 Aug, 2021 (M)standard equation of parabola
  15. 15If the following system of linear equations 2 x + y + z = 5 x - y + z = 3 x + y + a z = b has no solution, then :31 Aug, 2021 (M)System of Linear Equations
  16. 16Three numbers are in an increasing geometric progression with common ratio r . If the middle number is doubled, then the new numbers are in 31 Aug, 2021 (M)Mixed Question on AP and GP
  17. 17A vertical pole fixed to the horizontal ground is divided in the ratio 3 : 7 by a mark on it with lower part shorter than the upper part. If31 Aug, 2021 (M)Heights and Distances
  18. 18If the function f x = 1 x log e 1 + x a 1 - x b , x 0 k , x = 0 cos 2 x - sin 2 x - 1 x 2 + 1 - 1 , x 0 is continuous at x = 0 , then 1 a + 31 Aug, 2021 (M)Continuity
  19. 19The integral 1 ( x - 1 ) 3 ( x + 2 ) 5 4 d x is equal to : (where C is a constant of integration)31 Aug, 2021 (M)Integration by Substitution
  20. 20Which of the following is not correct for relation R on the set of real numbers?31 Aug, 2021 (M)Questions on Symmetric Transitive and Reflexive Properties
  21. 21The mean of 10 numbers 7 8 , 10 10 , 13 12 , 16 14 , is31 Aug, 2021 (M)Mean
  22. 22If 3 6 4 4 k is the term, independent of x , in the binomial expansion of x 4 - 12 x 2 12 , then k is equal to31 Aug, 2021 (M)Terms of Binomial Expansion
  23. 23An electric instrument consists of two units. Each unit must function independently for the instrument to operate. The probability that the 31 Aug, 2021 (M)Baye's Theorem
  24. 24Let [ t ] denote the greatest integer t . Then the value of 8 - 1 2 1 ( [ 2 x ] + | x | ) d x is31 Aug, 2021 (M)Properties of Definite Integration
  25. 25A point z moves in the complex plane such that arg z - 2 z + 2 = 4 , then the minimum value of | z - 9 2 - 2 i | 2 is equal to31 Aug, 2021 (M)Geometry of Complex Number
  26. 26If R is the least value of a such that the function f x = x 2 + a x + 1 is increasing on [ 1 , 2 ] and S is the greatest value of a such tha31 Aug, 2021 (M)Monotonicity
  27. 27The square of the distance of the point of intersection of the line x - 1 2 = y - 2 3 = z + 1 6 and the plane 2 x - y + z = 6 from the point31 Aug, 2021 (M)Line and Plane
  28. 28If the variable line 3 x + 4 y = lies between the two circles ( x - 1 ) 2 + ( y - 1 ) 2 = 1 and ( x - 9 ) 2 + ( y - 1 ) 2 = 4 , without inte31 Aug, 2021 (M)line and circle
  29. 29If x ( x ) = 5 x 3 t 2 - 2 ' ( t ) d t , x - 2 , ( 0 ) = 4 , then ( 2 ) is31 Aug, 2021 (M)Leibnitz Rule of Differentiation
  30. 30The number of six letter words (with or without meaning), formed using all the letters of the word VOWELS , so that all the consonants never31 Aug, 2021 (M)Arrangement under Constraint

Physics

  1. 1A helicopter is flying horizontally with a speed v at an altitude h has to drop a food packet for a man on the ground. What is the distance 31 Aug, 2021 (M)Projectile motion
  2. 2Choose the correct waveform that can represent the voltage across R of the following circuit, assuming the diode is ideal one:31 Aug, 2021 (M)Diodes
  3. 3Angular momentum of a single particle moving with constant speed along circular path :31 Aug, 2021 (M)Angular momentum and Angular impulse
  4. 4A sample of a radioactive nucleus A disintegrates to another radioactive nucleus B , which in turn disintegrates to some other stable nucleu31 Aug, 2021 (M)Radioactivity
  5. 5An object is placed at the focus of concave lens having focal length f . What is the magnification and distance of the image from the optica31 Aug, 2021 (M)Lens Formula, Refraction of light from curved surface
  6. 6For an ideal gas the instantaneous change in pressure P with volume V is given by the equation d P d V = - a P . If P = P 0 at V = 0 is the 31 Aug, 2021 (M)Pressure and Energy of gas
  7. 7In the following logic circuit the sequence of the inputs A , B are ( 0 , 0 ) , ( 0 , 1 ) , ( 1 , 0 ) and ( 1 , 1 ) . The output Y for this 31 Aug, 2021 (M)Logic gates
  8. 8A coil having N turns is wound tightly in the form of a spiral with inner and outer radii a and b respectively. Find the magnetic field at c31 Aug, 2021 (M)Biot-Savart's Law and Ampere's Circuital Law
  9. 9A small square loop of side a and one turn is placed inside a larger square loop of side b and one turn ( b a ) . The two loops are coplanar31 Aug, 2021 (M)Self and Mutual Inductance
  10. 10In an ac circuit, an inductor, a capacitor and a resistor are connected in series with X L = R = X C . Impedance of this circuit is :31 Aug, 2021 (M)AC Circuits
  11. 11Consider a galvanometer shunted with 5 resistance and 2 % of current passes through it. What is the resistance of the given galvanometer?31 Aug, 2021 (M)Electric Instruments
  12. 12A body of mass M moving at speed V 0 collides elastically with a mass m at rest. After the collision, the two masses move at angles 1 and 2 31 Aug, 2021 (M)Collisions
  13. 13A reversible engine has an efficiency of 1 4 . If the temperature of the sink is reduced by 58 C , its efficiency becomes double. Calculate 31 Aug, 2021 (M)Heat Engine, Refrigerator and Second Law of Thermodynamics
  14. 14Which of the following equations is dimensionally incorrect? Where t = time, h = height, s = surface tension, = angle, = density , a , r = r31 Aug, 2021 (M)Dimensions
  15. 15A uniform heavy rod of weight 10 kg m s - 2 , cross-sectional area 100 cm 2 and length 20 cm is hanging from a fixed support. Young modulus 31 Aug, 2021 (M)Young's Modulus and Breaking Stres
  16. 16Two particles A and B having charges 20 C and - 5 C respectively are held fixed with a separation of 5 cm At what position a third charged p31 Aug, 2021 (M)Electric Field and Electric Field Lines
  17. 17Two plane mirrors M 1 and M 2 are at right angle to each other shown. A point source P is placed at a and 2 a meter away from M 1 and M 2 re31 Aug, 2021 (M)Reflection of Light from Plane Mirror
  18. 18Match List - I with List - II. List - I List - II a Torque i MLT - 1 b Impulse ii MT - 2 c Tension iii ML 2 T - 2 d Surface Tension iv MLT -31 Aug, 2021 (M)Dimensions
  19. 19A moving proton and electron have the same de-Broglie wavelength. If K and P denote the K . E . and momentum respectively. Then choose the c31 Aug, 2021 (M)Matter Waves
  20. 20The masses and radii of the earth and moon are M 1 , R 1 and M 2 , R 2 respectively. Their centres are at a distance r apart. Find the minim31 Aug, 2021 (M)Newton's Law of Gravitation
  21. 21A car is moving on a plane inclined at 30 to the horizontal with an acceleration of 10 m s - 2 parallel to the plane upward. A bob is suspen31 Aug, 2021 (M)Equilibrium of Forces
  22. 22The electric field in an electromagnetic wave is given by E = 50 N C - 1 sin ( t - x c ) The energy contained in a cylinder of volume V is 531 Aug, 2021 (M)Electromagnetic Waves and Maxwell's equations
  23. 23A capacitor of 50 F is connected in a circuit as shown in figure. The charge on the upper plate of the capacitor is _________ C .31 Aug, 2021 (M)Charging and Discarging of capacitors
  24. 24The voltage drop across 15 resistance in the given figure will be _______ V .31 Aug, 2021 (M)Resistance and Resistivity
  25. 25A particle of mass 1 kg is hanging from a spring of force constant 100 N m - 1 . The mass is pulled slightly downward and released so that i31 Aug, 2021 (M)Simple Harmonic Motion
  26. 26A block moving horizontally on a smooth surface with a speed of 40 m s - 1 splits into two equal parts. If one of the parts moves at 60 m s 31 Aug, 2021 (M)Energy
  27. 27When a rubber ball is taken to a depth of _______ m in deep sea, its volume decreases by 0 . 5 % (The bulk modulus of rubber = 9 . 8 10 8 N 31 Aug, 2021 (M)Bulk Modulus
  28. 28A wire having a linear mass density 9 . 0 10 - 4 kg m - 1 is stretched between two rigid supports with a tension of 900 N . The wire resonat31 Aug, 2021 (M)Vibration of String
  29. 29A square-shaped wire with a resistance of each side 3 is bent to form a complete circle. The resistance between two diametrically opposite p31 Aug, 2021 (M)Resistance and Resistivity
  30. 30If the sum of the heights of transmitting and receiving antennas in the line of sight of communication is fixed at 160 m , then the maximum 31 Aug, 2021 (M)Communication System

Frequently Asked Questions

1.How many questions are in the JEE Main 2021 31st August 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 31st August 2021 morning shift.

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

The JEE Main 2021 31st August Evening Shift paper is listed separately - you can switch to it from the "JEE Main Paper Wise PYQs" panel, under JEE Main 31st August 2021.

5.How is the JEE Main 2021 31st August Morning Shift paper structured?

The JEE Main 2021 31st August 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 31st August Morning Shift paper?

Each question on MARKS carries a difficulty rating. Of the 90 rated questions in this paper, 29 (32%) are easy, 51 (57%) are medium and 10 (11%) are hard. Subject wise:

  • Chemistry: 12 easy, 17 medium, 1 hard
  • Mathematics: 9 easy, 16 medium, 5 hard
  • Physics: 8 easy, 18 medium, 4 hard
7.Which chapters were asked the most in the JEE Main 2021 31st August Morning Shift paper?

The chapters with the most questions in each subject were:

  • Chemistry: Alcohols Phenols and Ethers (3), d and f Block Elements (2), and General Organic Chemistry (2).
  • Mathematics: Definite Integration (3), Application of Derivatives (2), and Continuity and Differentiability (2).
  • Physics: Current Electricity (3), Mechanical Properties of Solids (2), and Ray Optics (2).
8.Are there any out-of-syllabus questions in the JEE Main 2021 31st August Morning Shift paper?

Yes. 21 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 31st August 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 31st August 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 31st August 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.