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JEE Main 2021 27th July Morning Shift

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Main 2021 27th 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 - 37 easy (41%), 38 moderate (42%) and 15 tough (17%). That's an easier-than-usual mix for this exam - aim to clear it quickly and save time for the harder papers. By subject: Physics 37% easy, 43% moderate, 20% tough; Chemistry 53% easy, 37% moderate, 10% tough; Mathematics 33% easy, 47% moderate, 20% tough.

Chemistry questions were spread across 21 chapters, with General Organic Chemistry (4), Chemical Bonding and Molecular Structure (3), and Coordination Compounds (3) carrying the most weight. Mathematics questions were spread across 20 chapters, with Circle (3), Definite Integration (3), and Continuity and Differentiability (2) carrying the most weight. Physics questions were spread across 25 chapters, with Capacitance (3), Nuclear Physics (2), and Oscillations (2) carrying the most weight.

Chemistry

  1. 1Which one of the following compounds will give orange precipitate when treated with 2 , 4 - dinitrophenyl hydrazine ?27 Jul, 2021 (M)Tests for Aldehyde and Ketones
  2. 2The product obtained from the electrolytic oxidation of acidified sulphate solutions, is :27 Jul, 2021 (M)Sulphur and Its Compounds
  3. 3The parameters of the unit cell of a substance are a = 2 . 5 , b = 3 . 0 , c = 4 . 0 , = 90 , = 120 = 90 . The crystal system of the substan27 Jul, 2021 (M)Properties and Types of Solids
  4. 4The oxidation states of P in H 4 P 2 O 7 , H 4 P 2 O 5 and H 4 P 2 O 6 , respectively, are :27 Jul, 2021 (M)Oxidation number
  5. 5For a reaction of order n , the unit of the rate constant is :27 Jul, 2021 (M)Rate law and rate constant
  6. 6Given below are two statements : Statement I : Aniline is less basic than acetamide. Statement II : In aniline, the lone pair of electrons o27 Jul, 2021 (M)Electron displacement effects
  7. 7The type of hybridisation and magnetic property of the complex MnCl 6 3 - , respectively, are:27 Jul, 2021 (M)Crystal Field Theory
  8. 8The number of geometrical isomers found in the metal complexes PtCl 2 NH 3 2 , Ni ( CO ) 4 , Ru H 2 O 3 Cl 3 and CoCl 2 NH 3 4 + respectivel27 Jul, 2021 (M)Isomerism of coordination compounds
  9. 9Which one of the following statements is NOT correct?27 Jul, 2021 (M)Water Pollution
  10. 10Given below are two statements : Statement I : Rutherford s gold foil experiment cannot explain the line spectrum of hydrogen atom. Statemen27 Jul, 2021 (M)Atomic Models
  11. 11Presence of which reagent will affect the reversibility of the following reaction, and change it to a irreversible reaction : C H 4 + I 2 Re27 Jul, 2021 (M)Reactions of alkanes
  12. 12Which one among the following chemical tests is used to distinguish monosaccharide from disaccharide ?27 Jul, 2021 (M)Disaccharides and Polysaccharides
  13. 13List - I (Drug) List - II (Class of Drug) a Furacin i Antibiotic b Arsphenamine ii Tranquilizers c Dimetone iii Antiseptic d Valium iv Synth27 Jul, 2021 (M)Drugs and It's Classification
  14. 14The statement that is INCORRECT about Ellingham diagram is27 Jul, 2021 (M)Reduction to Crude Metal
  15. 15Consider the above reaction and identify the Product P :27 Jul, 2021 (M)Preparation and Properties of Alcohols
  16. 16The compound A is a complementary base of .......... in DNA strands.27 Jul, 2021 (M)Properties and Preparation of Amino Acids
  17. 17Staggered and eclipsed conformers of ethane are:27 Jul, 2021 (M)Isomerism of Organic Compounds
  18. 18Match List - I with List - II : List - I List - II a NaOH i Acidic b Be ( OH ) 2 ii Basic c Ca ( OH ) 2 iii Amphoteric d B ( OH ) 3 e Al ( O27 Jul, 2021 (M)Periodic properties
  19. 19The correct order of stability of given carbocation is:27 Jul, 2021 (M)Electron displacement effects
  20. 20Given below are two statements: One is labelled as Assertion A and the other labelled as Reason R . Assertion A : Lithium halides are some w27 Jul, 2021 (M)Polarization
  21. 21The density of NaOH solution is 1 . 2 g cm - 3 . The molality of this solution is m (Round off to the Nearest Integer): [Use : Atomic masses27 Jul, 2021 (M)Concentration terms
  22. 22CO 2 gas adsorbs on charcoal following Freundlich adsorption isotherm. For a given amount of charcoal, the mass of CO 2 adsorbed becomes 64 27 Jul, 2021 (M)Adsorption isotherms
  23. 23The conductivity of a weak acid HA of concentration 0 . 001 mol L - 1 is 2 . 0 10 - 5 S cm - 1 . If m 0 ( HA ) = 190 S cm 2 mol - 1 , the io27 Jul, 2021 (M)Conductance and Conductivity
  24. 241 . 46 g of a biopolymer dissolved in a 100 mL water at 300 K exerted an osmotic pressure of 2 . 42 10 - 3 bar The molar mass of the biopoly27 Jul, 2021 (M)Colligative Properties and Abnormal Molecular Masses
  25. 25An organic compound is subjected to chlorination to get compound A using 5 . 0 g of chlorine. When 0 . 5 g of compound A is reacted with AgN27 Jul, 2021 (M)Quantitative analysis of organic compounds
  26. 26The number of geometrical isomers possible in triamminetrinitrocobalt ( III ) is X and in trioxalatochromate ( III ) is Y . Then the value o27 Jul, 2021 (M)Isomerism of coordination compounds
  27. 27In gaseous triethyl amine the - C - N - C - bond angle is _ _ _ _ degree.27 Jul, 2021 (M)Hybridisation and VSEPR Theory
  28. 28For water at 100 C and 1 bar, v a p H - v a p U = 10 2 J mol - 1 (Round off to the Nearest Integer) [Use : R = 8 . 31 J mol - 1 K - 1 [Assum27 Jul, 2021 (M)Laws of Thermochemistry and Enthalpy Change
  29. 29PCl 5 PCl 3 + Cl 2 K c = 1 . 844 3 . 0 moles of PCl 5 is introduced in a 1 L closed reaction vessel at 380 K . The number of moles of PCl 5 27 Jul, 2021 (M)Law of Mass Action, Equilibrium Constant (Kc and Kp) and its Application
  30. 30The difference between bond orders of CO and NO is x 2 where x = (Round off to the Nearest Integer)27 Jul, 2021 (M)Molecular Orbital Theory

Mathematics

  1. 1If the mean and variance of the following data: 6 , 10 , 7 , 13 , a , 12 , b , 12 are 9 and 37 4 respectively, then a - b 2 is equal to:27 Jul, 2021 (M)Measures of Dispersion
  2. 2The value of lim n 1 n j = 1 n 2 j - 1 + 8 n 2 j - 1 + 4 n is equal to:27 Jul, 2021 (M)Definite as Limit of Sum
  3. 3Let a = i ^ + j ^ + 2 k ^ and b = - i ^ + 2 j ^ + 3 k ^ . Then the vector product a + b a a - b b b is equal to :27 Jul, 2021 (M)Vector Triple Product
  4. 4The value of the definite integral - 4 4 d x 1 + e x cos x sin 4 x + cos 4 x is equal to :27 Jul, 2021 (M)Properties of Definite Integration
  5. 5Let C be the set of all complex numbers. Let S 1 = z C | z 3 2 i 2 = 8 , S 2 = z C | Re z 5 and S 3 = z C | z z 8 . Then the number of eleme27 Jul, 2021 (M)Geometry of Complex Number
  6. 6If the area of the bounded region R = x , y : max 0 , log e x y 2 x , 1 2 x 2 is, log e 2 - 1 + log e 2 + then the value of + - 2 2 is equal27 Jul, 2021 (M)Area bounded by two curves
  7. 7If the coefficients of x 7 in x 2 + 1 b x 11 and x - 7 in x - 1 b x 2 11 , b 0 , are equal, then the value of b is equal to:27 Jul, 2021 (M)Terms of Binomial Expansion
  8. 8The compound statement P Q ~ P Q equivalent to:27 Jul, 2021 (M)Mathematical Reasoning
  9. 9If sin + cos = 1 2 , then 16 sin 2 + cos 4 + sin 6 is equal to:27 Jul, 2021 (M)Sum and Difference & Multiple angle Formula
  10. 10Let A = 1 2 - 1 4 . If A - 1 = I + A , , R , I is a 2 2 identity matrix, then 4 - is equal to :27 Jul, 2021 (M)Inverse of a Matrix
  11. 11Let f : - 4 , 4 R be defined as, f x = 1 + sin x 3 a sin x , - 4 x 0 b , x = 0 e cot 4 x / cot 2 x , 0 x 4 If f is continuous at x = 0 then 27 Jul, 2021 (M)Continuity
  12. 12Let y = y x be solution of the differential equation log e d y d x = 3 x + 4 y , with y 0 = 0 . If y - 2 3 log e 2 = log e 2 , then the valu27 Jul, 2021 (M)Variable Separable Form
  13. 13Let the plane passing through the point - 1 , 0 , - 2 and perpendicular to each of the planes 2 x + y - z = 2 and x - y - z = 3 be a x + b y27 Jul, 2021 (M)Plane in Space
  14. 14Two tangents are drawn from the point P - 1 , 1 to the circle x 2 + y 2 - 2 x - 6 y + 6 = 0 . If these tangents touch the circle at points A27 Jul, 2021 (M)Pair of Tangents
  15. 15Let f : R R be a function such that f 2 = 4 and f ' 2 = 1 . Then, the value of lim x 2 x 2 f 2 - 4 f x x - 2 is equal to:27 Jul, 2021 (M)Algebraic and Rational Limits
  16. 16Let P and Q be two distinct points on a circle which has center at C 2 , 3 and which passes through origin O . If O C is perpendicular to bo27 Jul, 2021 (M)Equation of Circle & its intercept
  17. 17Let , be two roots of the equation x 2 + 20 1 / 4 x + 5 1 / 2 = 0 . Then 8 + 8 is equal to27 Jul, 2021 (M)Relation between Roots and Coefficients
  18. 18The probability that a randomly selected 2 - digit number belongs to the set n N : 2 n - 2 is a multiple of 3 } is equal to27 Jul, 2021 (M)Classical Definition of Probability
  19. 19Let A = x , y R R 2 x 2 + 2 y 2 - 2 x - 2 y = 1 B = x , y R R 4 x 2 + 4 y 2 - 16 y + 7 = 0 and C = x , y R R x 2 + y 2 - 4 x - 2 y + 5 r 2 .27 Jul, 2021 (M)Equation of Circle & its intercept
  20. 20For real numbers and , consider the following system of linear equations: x + y - z = 2 , x + 2 y + z = 1 and 2 x - y + z = . If the system 27 Jul, 2021 (M)System of Linear Equations
  21. 21Let a = i ^ + j ^ + k ^ , b and c = j ^ - k ^ be three vectors such that a b = c and a b = 1 . If the length of projection vector of the vec27 Jul, 2021 (M)Product of 2 vectors
  22. 22If log 3 2 , log 3 2 x - 5 , log 3 2 x - 7 2 are in an arithmetic progression, then the value of x is equal to _____.27 Jul, 2021 (M)Arithmetic Progression
  23. 23Let the domain of the function f x = log 4 log 5 log 3 18 x - x 2 - 77 be a , b . Then the value of the integral a b sin 3 x sin 3 x + sin 327 Jul, 2021 (M)Domain
  24. 24Let f x = sin 2 x - 2 + cos 2 x cos 2 x 2 + sin 2 x cos 2 x cos 2 x sin 2 x cos 2 x 1 + cos 2 x , x 0 , . Then the maximum value of f x is e27 Jul, 2021 (M)Expansion of Determinants
  25. 25Let F : 3 , 5 R be a twice differentiable function on 3 , 5 such that F x = e - x 3 x 3 t 2 + 2 t + 4 F t d t . If F 4 = e - 224 e - 4 2 , t27 Jul, 2021 (M)Leibnitz Rule of Differentiation
  26. 26Let a plane P pass through the point 3 , 7 , - 7 and contain the line, x - 2 - 3 = y - 3 2 = z + 2 1 . If distance of the plane P from the o27 Jul, 2021 (M)Line and Plane
  27. 27Let S = 1 , 2 , 3 , 4 , 5 , 6 , 7 . Then the number of possible functions f : S S such that f m n = f m f n for every m , n S and m n S , is27 Jul, 2021 (M)Types of Function (Mapping)
  28. 28If y = y x , y 0 , 2 is the solution of the differential equation sec y d y d x - sin x + y - sin x - y = 0 , with y 0 = 0 , then 5 y 2 is e27 Jul, 2021 (M)Variable Separable Form
  29. 29Let f : 0 , 3 R be defined by f x = min x - x , 1 + x - x where x is the greatest integer less than or equal to x . Let P denote the set con27 Jul, 2021 (M)Differentiability
  30. 30A ray of light through 2 , 1 is reflected at a point P on the y - axis and then passes through the point 5 , 3 . If this reflected ray is th27 Jul, 2021 (M)Equation of Ellipse

Physics

  1. 1In the given figure, a battery of emf E is connected across a conductor P Q of length l and different area of cross-sections having radii r 27 Jul, 2021 (M)Electric Cell or Battery
  2. 2The number of molecules in one litre of an ideal gas at 300 K and 2 atmospheric pressure with mean kinetic energy 2 10 - 9 J per molecule is27 Jul, 2021 (M)Pressure and Energy of gas
  3. 3The relative permittivity of distilled water is 81 . The velocity of light in it will be: ( Given r = 127 Jul, 2021 (M)Electric Charge and Coulomb's law
  4. 4List- I List- II ( a ) M I of the rod (length L , Mass M , about an axis to the rod passing through the midpoint) ( i ) 8 M L 2 3 ( b ) M I 27 Jul, 2021 (M)Moment of inertia of rigid bodies
  5. 5Three objects A , B and C are kept in a straight line on a frictionless horizontal surface. The masses of A , B and C are m , 2 m and 2 m re27 Jul, 2021 (M)Collisions
  6. 6A capacitor of capacitance C = 1 F is suddenly connected to a battery of 100 V through a resistance R = 100 . The time taken for the capacit27 Jul, 2021 (M)Charging and Discarging of capacitors
  7. 7In the reported figure, a capacitor is formed by placing a compound dielectric between the plates of parallel plate capacitor. The expressio27 Jul, 2021 (M)Capacitors with Dielectric
  8. 8The figure shows two solid discs with radius R and r respectively. If mass per unit area is the same for both, what is the ratio of M I of b27 Jul, 2021 (M)Moment of inertia of rigid bodies
  9. 9In Young s double slit experiment, if the source of light changes from orange to blue then:27 Jul, 2021 (M)Youngs Double Slit Experiment
  10. 10In the reported figure, there is a cyclic process A B C D A on a sample of 1 mol of a diatomic gas. The temperature of the gas during the pr27 Jul, 2021 (M)Thermodynamic Processes
  11. 11Assertion A : If A , B , C , D are four points on a semi-circular arc with a centre at O such that | A B | = | B C | = | C D | . Then, A B +27 Jul, 2021 (M)Addition and Subtraction of Vectors
  12. 12A light cylindrical vessel is kept on a horizontal surface. Area of the base is A . A hole of cross-sectional area a is made just at its bot27 Jul, 2021 (M)Pressure and thrust
  13. 13A particle starts executing simple harmonic motion ( SHM ) of amplitude a and total energy E . At any instant, its kinetic energy is 3 E 4 ,27 Jul, 2021 (M)Simple Harmonic Motion
  14. 14If f denotes the ratio of the number of nuclei decayed N d to the number of nuclei at t = 0 , N 0 then for a collection of radioactive nucle27 Jul, 2021 (M)Radioactivity
  15. 15Two capacitors of capacities 2 C and C are joined in parallel and charged up to potential V . The battery is removed and the capacitor of ca27 Jul, 2021 (M)Grouping of capacitors
  16. 16A ball is thrown up with a certain velocity so that it reaches a height h . Find the ratio of the two different times of the ball reaching h27 Jul, 2021 (M)Motion Under Gravity
  17. 17A 0 . 07 H inductor and a 12 resistor are connected in series to a 220 V , 50 Hz AC source. The approximate current in the circuit and the p27 Jul, 2021 (M)AC Circuits
  18. 18Two identical tennis balls each having mass m and charge q are suspended from a fixed point by threads of length l . What is the equilibrium27 Jul, 2021 (M)Applications of SHM
  19. 19Assertion A : If in five complete rotations of the circular scale, the distance travelled on the main scale of the screw gauge is 5 mm and t27 Jul, 2021 (M)Experimental Physics
  20. 20A body takes 4 min to cool from 61 C to 59 C . If the temperature of the surroundings is 30 C , the time taken by the body to cool from 51 C27 Jul, 2021 (M)Radiation
  21. 21Consider an electrical circuit containing a two way switch S . Initially S is open and then T 1 is connected to T 2 . As the current in R = 27 Jul, 2021 (M)Inductance
  22. 22Suppose two planets (spherical in shape) of radii R and 2 R , but mass M and 9 M respectively have a centre to centre separation 8 R as show27 Jul, 2021 (M)Motion of satellite
  23. 23In Bohr s atomic model, the electron is assumed to revolve in a circular orbit of radius 0 . 5 A . If the speed of electron is 2 . 2 10 6 m 27 Jul, 2021 (M)Atomic Structure
  24. 24A radioactive sample has an average life of 30 ms and is decaying. A capacitor of capacitance 200 F is first charged and later connected wit27 Jul, 2021 (M)Radioactivity
  25. 25A particle of mass 9 . 1 10 - 31 kg travels in a medium with a speed of 10 6 m s - 1 and a photon of radiation of linear momentum 10 - 27 kg27 Jul, 2021 (M)Matter Waves
  26. 26A prism of refractive index n 1 and another prism of refractive index n 2 are stuck together (as shown in the figure). n 1 and n 2 depend on27 Jul, 2021 (M)Prism and Dispersion of Light
  27. 27A stone of mass 20 g is projected from a rubber catapult of length 0 . 1 m and area of cross section 10 - 6 m 2 stretched by an amount 0 . 027 Jul, 2021 (M)Work Done in Stretching a Wire
  28. 28A transistor is connected in common emitter circuit configuration, the collector supply voltage is 10 V and the voltage drop across a resist27 Jul, 2021 (M)Junction Transistors
  29. 29The amplitude of upper and lower side bands of A M wave where a carrier signal with frequency 11 . 21 MHz , peak voltage 15 V is amplitude m27 Jul, 2021 (M)Modulation
  30. 30In a uniform magnetic field, the magnetic needle has a magnetic moment 9 . 85 10 - 2 A m - 2 and moment of inertia 5 10 - 6 kg m 2 . If it p27 Jul, 2021 (M)Magnetism and Properties of Magnet

Frequently Asked Questions

1.How many questions are in the JEE Main 2021 27th 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 27th July 2021 morning shift.

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

The JEE Main 2021 27th July Evening Shift paper is listed separately - you can switch to it from the "JEE Main Paper Wise PYQs" panel, under JEE Main 27th July 2021.

5.What is the structure of the JEE Main 2021 27th July Morning Shift paper?

The JEE Main 2021 27th 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 27th July Morning Shift paper?

Each question on MARKS carries a difficulty rating. Of the 90 rated questions in this paper, 37 (41%) are easy, 38 (42%) are medium and 15 (17%) are hard. Subject wise:

  • Chemistry: 16 easy, 11 medium, 3 hard
  • Mathematics: 10 easy, 14 medium, 6 hard
  • Physics: 11 easy, 13 medium, 6 hard
7.Which chapters had the most questions in the JEE Main 2021 27th July Morning Shift paper?

The chapters with the most questions in each subject were:

  • Chemistry: General Organic Chemistry (4), Chemical Bonding and Molecular Structure (3), and Coordination Compounds (3).
  • Mathematics: Circle (3), Definite Integration (3), and Continuity and Differentiability (2).
  • Physics: Capacitance (3), Nuclear Physics (2), and Oscillations (2).
8.Are there any out-of-syllabus questions in the JEE Main 2021 27th 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 27th 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 27th 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 27th 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.