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JEE Main 2013 7th April

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Main 2013 7th April 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 90 questions in total - 31 easy (34%), 35 moderate (39%) and 24 tough (27%). That's a fairly typical mix for this exam. By subject: Physics 27% easy, 40% moderate, 33% tough; Chemistry 43% easy, 33% moderate, 23% tough; Mathematics 33% easy, 43% moderate, 23% tough.

Chemistry questions were spread across 20 chapters, with Some Basic Concepts of Chemistry (4), Chemical Bonding and Molecular Structure (3), and General Organic Chemistry (3) carrying the most weight. Mathematics questions were spread across 25 chapters, with Circle (2), Quadratic Equation (2), and Sequences and Series (2) carrying the most weight. Physics questions were spread across 23 chapters, with Capacitance (2), Current Electricity (2), and Electromagnetic Induction (2) carrying the most weight.

Chemistry

  1. 1An unknown alcohol is treated with the Lucas reagent to determine whether the alcohol is primary, secondary or tertiary. Which alcohol react07 Apr, 2013Reactions of Alcohols
  2. 2The first ionisation potential of Na is 5.1 eV. The value of electron gain enthalpy of Na + will be :07 Apr, 2013Periodic properties
  3. 3Stability of the species Li 2 , Li 2 - and Li 2 + increases in the order of07 Apr, 2013Molecular Orbital Theory
  4. 4The molarity of a solution obtained by mixing 750 mL of 0 . 5 ( M ) HCl with 250 mL of 2 ( M ) HCl will be07 Apr, 2013Concentration terms
  5. 5Which of the following is wrong statement?07 Apr, 2013Oxygen and Its Compounds
  6. 6Four successive members of the first row of transition elements are listed below with atomic numbers. Which one of them is expected to have 07 Apr, 2013Cells and Electrode Potential, Nernst Equation
  7. 7A solution of ( - ) 1 - chloro - 1 - phenylethane in toluene racemises slowly in the presence of a small amount of SbCl 5 , due to the forma07 Apr, 2013Reaction Intermediates
  8. 8The coagulating power of electrolytes having ions Na + , Al 3 + and Ba 2 + for arsenic sulphide sol increases in the order,07 Apr, 2013Properties of colloidal solution
  9. 9How many litres of water must be added to 1 litre of aqueous solution of HCl with a pH of 1 to create an aqueous solution with pH of 2 ?07 Apr, 2013Concentration terms
  10. 10Which one of the following molecules is expected to exhibit paramagnetic behaviour?07 Apr, 2013Molecular Orbital Theory
  11. 11Which of the following arrangements does not represent the correct order of the property stated against it?07 Apr, 2013Properties of D-block elements
  12. 12Experimentally it was found that a metal oxide has formula M 0.98 O . Metal M, is present as M 2 + and M 3 + in its oxide. Fraction of the m07 Apr, 2013Quantitative measures in chemical equations
  13. 13A compound with molecular mass 180 is acylated with CH 3 COCl to get a compound with molecular mass 390 . The number of amino groups present07 Apr, 2013Preparation and Properties of Amines
  14. 14Given E Cr 3 + / Cr o = - 0 . 74 V; E MnO 4 - / Mn 2 + o = 1 . 51 V E Cr 2 O 7 2 - / Cr 3 + o = 1 . 33 V; E Cl 2 | Cl - o = 1 . 36 V Based o07 Apr, 2013Properties of D-block elements
  15. 15Arrange the following compounds in order of decreasing acidity :07 Apr, 2013Electron displacement effects
  16. 16The rate of a reaction doubles when its temperature changes from 300 K to 310 K . Activation energy of such a reaction will be: ​ R = 8.314 07 Apr, 2013Arrhenius theory
  17. 17Synthesis of each molecule of glucose in photosynthesis involves07 Apr, 2013Preparation and Reactions of Glucose
  18. 18Which of the following complex species is not expected to exhibit optical isomerism?07 Apr, 2013Isomerism of coordination compounds
  19. 19A piston filled with 0.04 mol of an ideal gas expands reversibly from 50.0 mL to 375 mL at a constant temperature of 3 7 . 0 C . As it does 07 Apr, 2013First Law and Basic Fundamentals of Thermodynamics
  20. 20A gaseous hydrocarbon on combustion gives 0 . 72 g of water and 3 . 08 g CO 2 . What is the empirical formula of the hydrocarbon?07 Apr, 2013Quantitative measures in chemical equations
  21. 21The order of stability of the following carbocations:07 Apr, 2013Conjugation and Aromaticity
  22. 22Which of the following represents the correct order of increasing first ionization enthalpy for Ca , Ba , S , Se and Ar ?07 Apr, 2013Periodic properties
  23. 23For gaseous state, if most probable speed is denoted by C * , average speed by C and root mean square speed by C , then for many molecules, 07 Apr, 2013Kinetic theory of gases
  24. 24The gas leaked from a storage tank of the Union Carbide plant in Bhopal gas tragedy was :07 Apr, 2013Environmental Pollution and pollutants
  25. 25Consider the following reaction: x MnO 4 - + y C 2 O 4 2 - + zH + x Mn 2 + + 2 y CO 2 + z 2 H 2 O The values of x, y and z in the reaction a07 Apr, 2013Balancing of redox reactions
  26. 26Which of the following exists as covalent crystals in the solid state ?07 Apr, 2013Properties and Types of Solids
  27. 27Compound (A), C 8 H 9 Cl , gives a white precipitate when warmed with alcoholic AgNO 3 . Oxidation of (A) gives an acid (B), C 8 H 6 O 4 . (07 Apr, 2013Preparation and Properties of Carboxylic Acids
  28. 28Energy of an electron is given by E = - 2 . 1 7 8 1 0 - 1 8 Z 2 n 2 J . Wavelength of light required to excite an electron in a hydrogen ato07 Apr, 2013Bohr's model
  29. 29An organic compound A upon reacting with NH 3 gives B. On heating, B gives C. C in presence of KOH reacts with Br 2 to give CH 3 CH 2 NH 2 .07 Apr, 2013Reactions Involving Acid Group
  30. 30In which of the following pairs of molecules/ions, both the species are not likely to exist?07 Apr, 2013Molecular Orbital Theory

Mathematics

  1. 1The circle passing through ( 1 , - 2 ) and touching the axis of x at ( 3 , 0 ) also passes through the point07 Apr, 2013Equation of Circle & its intercept
  2. 2A B C D is a trapezium such that A B and C D are parallel and B C C D . If A D B = , B C = p and C D = q , then A B is equal to07 Apr, 2013Heights and Distances
  3. 3Given : A circle, 2 x 2 + 2 y 2 = 5 and a parabola, y 2 = 4 5 x . Statement - I : An equation of a common tangent to these curves is y = x +07 Apr, 2013Common Tangents
  4. 4A ray of light along x + 3 y = 3 gets reflected upon reaching X - axis, the equation of the reflected ray is07 Apr, 2013Basic Forms of Straight Line
  5. 5All the students of a class performed poorly in Mathematics. The teacher decided to give grace marks of 10 to each of the students. Which of07 Apr, 2013Statistics
  6. 6If x , y , z are positive numbers in A . P . and tan - 1 x , tan - 1 y and tan - 1 z are also in A . P . , then which of the following is co07 Apr, 2013Arithmetic Progression
  7. 7If f ( x ) d x = ( x ) , then x 5 f ( x 3 ) d x , is equal to07 Apr, 2013Integration by Parts
  8. 8The equation of the circle passing through the foci of the ellipse x 2 1 6 + y 2 9 = 1 , and having centre at 0 , 3 is07 Apr, 2013Position of point
  9. 9The x - coordinate of the incentre of the triangle that has the coordinates of midpoints of its sides as 0 , 1 , 1 , 1 and 1 , 0 is07 Apr, 2013Coordinate System
  10. 10The intercepts on the x -axis made by tangents to the curve, y = 0 x t d t , x R , which are parallel to the line y = 2 x , are equal to07 Apr, 2013Tangent Normal
  11. 11The sum of first 20 terms of the sequence 0 . 7 , 0 . 77 , 0 . 777 , . . . . . . , is :07 Apr, 2013Geometric Progression
  12. 12Consider : Statement - I : p ~ q ~ p q is a fallacy. Statement - II : p q ~ q ~ p is a tautology.07 Apr, 2013Mathematical Reasoning
  13. 13The area (in square units) bounded by the curves y = x , 2 y - x + 3 = 0 , X -axis and lying in the first quadrant is07 Apr, 2013Area bounded by two curves
  14. 14The expression tanA 1 - cotA + cotA 1 - tanA can be written as :07 Apr, 2013Basic Identities & T Ratios
  15. 15The real number k for which the equation, 2 x 3 + 3 x + k = 0 has two distinct real roots in [ 0 , 1 ] belongs to07 Apr, 2013Location of Roots
  16. 16The value of lim x 0 1 - cos 2 x 3 + cos x x tan 4 x is equal to07 Apr, 2013Trigonometric and Inverse Trigonometric limits
  17. 17Let T n be the number of all possible triangles formed by joining vertices of an n -sided regular polygon. If T n + 1 - T n = 10 , then the 07 Apr, 2013Geometric Permutation
  18. 18At present, a firm is manufacturing 2 0 0 0 items. It is estimated that the rate of change of production P w.r.t. additional number of worke07 Apr, 2013Applications of DE
  19. 19Statement - I : The value of the integral / 6 / 3 d x 1 + tan x is equal to 6 . Statement - II : a b f x d x = a b f a + b - x d x .07 Apr, 2013Properties of Definite Integration
  20. 20If P = 1 3 1 3 3 2 4 4 is the adjoint of a 3 3 matrix A and A = 4 , then is equal to07 Apr, 2013Adjoint and its Properties
  21. 21The number of values of k , for which the system of equations : k + 1 x + 8 y = 4 k k x + k + 3 y = 3 k - 1 has no solution, is :07 Apr, 2013System of Linear Equations
  22. 22If y = sec tan - 1 x , then d y d x at x = 1 is equal to07 Apr, 2013Differentiation of Inverse Trigonometric Functions
  23. 23If the lines x - 2 1 = y - 3 1 = z - 4 - k and x - 1 k = y - 4 2 = z - 5 1 are coplanar, then k can have07 Apr, 2013Line and Plane
  24. 24Let A and B be two sets containing 2 elements and 4 elements respectively. The number of subsets of A B having 3 or more elements is :07 Apr, 2013Questions on number of relations and sets
  25. 25If the vectors AB = 3 i ^ + 4 k ^ and AC = 5 i ^ - 2 j ^ + 4 k ^ are the sides of a triangle A B C , then the length of the median through A07 Apr, 2013Algebra of Vectors
  26. 26A multiple choice examination has 5 questions. Each question has three alternative answers out of which exactly one is correct. The probabil07 Apr, 2013Bernoulli Trial and Binomial Distribution
  27. 27If z is a complex number of unit modulus and argument , then arg 1 + z 1 + z - can be equal to given z - 107 Apr, 2013Conjugate, modulus and argument
  28. 28If the equations x 2 + 2 x + 3 = 0 and a x 2 + b x + c = 0 , a , b , c R , have a common root, then a : b : c is:07 Apr, 2013Common Roots
  29. 29Distance between two parallel planes 2 x + y + 2 z = 8 and 4 x + 2 y + 4 z + 5 = 0 is07 Apr, 2013Plane in Space
  30. 30The term independent of x in the expansion of x + 1 x 2 / 3 - x 1 / 3 + 1 - x - 1 x - x 1 / 2 1 0 is07 Apr, 2013Multinomial Theorem

Physics

  1. 1In an LCR circuit as shown below both switches are open initially. Now switch S 1 is closed, S 2 kept open. ( q is charge on the capacitor a07 Apr, 2013Charging and Discarging of capacitors
  2. 2A diode detector is used to detect an amplitude modulated wave of 60% modulation by using a condenser of capacity 250 pico farad in parallel07 Apr, 2013Diodes
  3. 3The supply voltage to a room is 120 V . The resistance of the lead wires is 6 . A 60 W bulb is already switched on. What is the decrease of 07 Apr, 2013Electric Cell or Battery
  4. 4A uniform cylinder of length L and mass M having cross-sectional area A is suspended, with its length vertical, from a fixed point by a mass07 Apr, 2013Equilibrium of Forces
  5. 5Two charges, each equal to q , are kept at x = - a and x = a on the x-axis. A particle of mass m and charge q 0 = - q 2 is placed at the ori07 Apr, 2013Applications of SHM
  6. 6A beam of unpolarised light of intensity I 0 is passed through a polaroid A and then through another polaroid B which is oriented so that it07 Apr, 2013Polarization of Light
  7. 7The anode voltage of a photocell is kept fixed. The wavelength of the light falling on the cathode is gradually changed. The plate current I07 Apr, 2013Photoelectric Effect
  8. 8Two coherent point sources S 1 and S 2 are separated by a small distance d as shown in the figure. The fringes obtained on the screen will b07 Apr, 2013Wave Theory and Wavefronts
  9. 9A metallic rod of length l is tied to a string of length 2 l and made to rotate with angular speed on a horizontal table with one end of the07 Apr, 2013Motional and Rotational EMF
  10. 10In a hydrogen like atom electron makes transition from an energy level with quantum number n to another with quantum number n - 1 . If n 1 ,07 Apr, 2013Bohr's Atomic Model
  11. 11Assume that a drop of a liquid evaporates by a decrease in its surface energy so that its temperature remains unchanged. The minimum radius 07 Apr, 2013Surface tension
  12. 12The graph between angle of deviation and angle of incidence i for a triangular prism is represented by :07 Apr, 2013Prism and Dispersion of Light
  13. 13Let 0 denote the dimensional formula of the permittivity of vacuum. If M = mass, L = length, T = time and A = electric current, then :07 Apr, 2013Dimensions
  14. 14The above P - V diagram represents the thermodynamic cycle of an engine, operating with an ideal mono-atomic gas. The amount of heat, extrac07 Apr, 2013First Law of Thermodynamics
  15. 15A sonometer wire of length 1 .5 m is made of steel. The tension in it produces an elastic strain of 1% . What is the fundamental frequency o07 Apr, 2013Vibration of String
  16. 16This question has Statement I and Statement II . Of the four choices given after the Statements, choose the one that best describes the two 07 Apr, 2013Electric Instruments
  17. 17What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass M and radius R in a circular orbit 07 Apr, 2013Gravitational potential and Potential Energy
  18. 18A projectile is given an initial velocity of i ^ + 2 j ^ m s - 1 , where i ^ is along the ground and j ^ is along the vertical upward. If g 07 Apr, 2013Projectile motion
  19. 19Two capacitors C 1 and C 2 are charged to 120 V and 200 V respectively. It is found that by connecting them together the potential on each o07 Apr, 2013Grouping of capacitors
  20. 20A hoop of radius r and mass m rotating with an angular velocity 0 is placed on a rough horizontal surface. The initial velocity of the centr07 Apr, 2013Angular momentum and Angular impulse
  21. 21An ideal gas enclosed in a vertical cylindrical container supports a freely moving piston of mass M . The piston and the cylinder have equal07 Apr, 2013Time Period and Frequency
  22. 22A charge Q is uniformly distributed over a long rod AB of length L as shown in the figure. The electric potential at the point O lying at a 07 Apr, 2013Electric Potential and Potential Energy
  23. 23A circular loop of radius 0 . 3 cm lies parallel to a much bigger circular loop of radius 20 cm . The centre of the small loop is on the axi07 Apr, 2013Magnetic Flux, Faraday's and Lenz law
  24. 24If a piece of metal is heated to temperature and then allowed to cool in a room which is at temperature 0 , the graph between the temperatur07 Apr, 2013Radiation
  25. 25The I - V characteristics of an LED is:07 Apr, 2013Diodes
  26. 26This question has Statement - I and Statement - II of the four choices given after the Statements, choose the one that best describes the tw07 Apr, 2013Collisions
  27. 27The amplitude of a damped oscillator decreases to 0.9 times its original magnitude in 5s. In another 10s it will decrease to times its origi07 Apr, 2013AC Circuits
  28. 28Diameter of a plano - convex lens is 6 cm and thickness at the centre is 3 mm . If the speed of light in the material of lens is 2 1 0 8 m s07 Apr, 2013Lens Formula, Refraction of light from curved surface
  29. 29The magnetic field in a travelling electromagnetic wave has a peak value of 20 nT . The peak value of electric field strength is :07 Apr, 2013Electromagnetic Waves and Maxwell's equations
  30. 30Two short bar magnets of length 1 cm each have magnetic moments 1 .20 A m 2 and 1 .00 A m 2 respectively. They are placed on a horizontal ta07 Apr, 2013Magnetism and Properties of Magnet

Frequently Asked Questions

1.How many questions are in the JEE Main 2013 7th April 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 paper.

3.What is the structure of the JEE Main 2013 7th April paper?

The JEE Main 2013 7th April paper on MARKS has 90 questions, organised by subject:

  • Chemistry: 30 questions - 30 single-correct.
  • Mathematics: 30 questions - 30 single-correct.
  • Physics: 30 questions - 30 single-correct.
4.What is the difficulty level of the JEE Main 2013 7th April paper?

Each question on MARKS carries a difficulty rating. Of the 90 rated questions in this paper, 31 (34%) are easy, 35 (39%) are medium and 24 (27%) are hard. Subject wise:

  • Chemistry: 13 easy, 10 medium, 7 hard
  • Mathematics: 10 easy, 13 medium, 7 hard
  • Physics: 8 easy, 12 medium, 10 hard
5.Which chapters had the most questions in the JEE Main 2013 7th April paper?

The chapters with the most questions in each subject were:

  • Chemistry: Some Basic Concepts of Chemistry (4), Chemical Bonding and Molecular Structure (3), and General Organic Chemistry (3).
  • Mathematics: Circle (2), Quadratic Equation (2), and Sequences and Series (2).
  • Physics: Capacitance (2), Current Electricity (2), and Electromagnetic Induction (2).
6.Are there any out-of-syllabus questions in the JEE Main 2013 7th April paper?

Yes. 14 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.

7.Where can I find the solutions for the JEE Main 2013 7th April 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 Main 2013 7th April 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.

9.Will the JEE Main 2013 7th April 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.