Jump to a section

JEE Main 2015 4th April

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Main 2015 4th 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 - 25 easy (28%), 48 moderate (53%) and 17 tough (19%). That's a fairly typical mix for this exam. By subject: Physics 33% easy, 43% moderate, 23% tough; Chemistry 27% easy, 67% moderate, 7% tough; Mathematics 23% easy, 50% moderate, 27% tough.

Chemistry questions were spread across 25 chapters, with d and f Block Elements (3), Aldehydes and Ketones (2), and General Organic Chemistry (2) carrying the most weight. Mathematics questions were spread across 25 chapters, with Permutation Combination (3), Application of Derivatives (2), and Sequences and Series (2) carrying the most weight. Physics questions were spread across 21 chapters, with Electrostatics (3), Thermodynamics (3), and Alternating Current (2) carrying the most weight.

Chemistry

  1. 1The vapour pressure of acetone at 20 o C is 185 torr . When 1 . 2 g of a non-volatile substance was dissolved in 100 g of acetone at 20 o C 04 Apr, 2015Vapour pressure and raoult's law
  2. 23 g of activated charcoal was added to 50 mL of acetic acid solution ( 0 . 06 N ) in a flask. After an hour, it was filtered and the strengt04 Apr, 2015Adsorption
  3. 3Which of the following is the energy of a possible excited state of hydrogen?04 Apr, 2015Bohr's model
  4. 4Which among the following is the most reactive?04 Apr, 2015Halogens and Its Compounds
  5. 5Which polymer is used in the manufacture of paints and lacquers?04 Apr, 2015Classification of Polymers
  6. 6The molecular formula of a commercial resin used for exchanging ions in water softening is C 8 H 7 S O 3 N a molecular weight = 206 . What w04 Apr, 2015Mole concept
  7. 7In Carius method of estimation of halogens, 250 mg of an organic compound gave 141 mg AgBr . What is the percentage of bromine in the compou04 Apr, 2015Qualitative analysis of organic compounds
  8. 8Assertion: Nitrogen and Oxygen are the main components in the atmosphere but these do not react to form oxides of nitrogen. Reason: The reac04 Apr, 2015Air Pollution
  9. 9The following reaction is performed at 298 K . 2 N O g + O 2 g 2 N O 2 g The standard free energy of the formation of N O g is 86 . 6 kJ mol04 Apr, 2015Entropy and Second law of thermodynamics
  10. 10Which one of the following alkaline earth metal sulphates has its hydration enthalpy greater than its lattice enthalpy?04 Apr, 2015Alkaline Earth Metals
  11. 11The number of geometric isomers that can exist for square planar P t C l p y N H 3 N H 2 O H + is (py = pyridine):04 Apr, 2015Isomerism of coordination compounds
  12. 12The synthesis of alkyl fluorides is best accomplished by:04 Apr, 2015Preparation and Properties of Monohalides
  13. 13The intermolecular interaction that is dependent on the inverse cube of distance between the molecules is:04 Apr, 2015Real Gases and Van der Waal's Equation
  14. 14In the context of the Hall-Heroult process for the extraction of Al , which of the following statements is false?04 Apr, 2015Extraction of Metals
  15. 15Which of the following compounds will exhibit geometrical isomerism?04 Apr, 2015Isomerism of Organic Compounds
  16. 16The ionic radii ( in Å ) of N 3 - , O 2 - and F - are respectively:04 Apr, 2015Modern periodic table
  17. 17From the following statements, choose the incorrect statement regarding H 2 O 2 .04 Apr, 2015Chemical properties of hydrogen peroxide
  18. 18Higher order ( 3) reactions are rare due to:04 Apr, 2015Integrated rate laws
  19. 19Match the catalysts to the correct process. Catalyst Process A. T i C l 3 i. Wacker process B. P d C l 2 ii. Ziegler Natta polymerisation C.04 Apr, 2015Compounds of Transition Metals
  20. 20Which one has the highest boiling point?04 Apr, 2015Noble Gases
  21. 21In the reaction, The product E is04 Apr, 2015Preparation and Properties of Cyanides
  22. 22Which one of the following compounds is not a yellow colored compound ?04 Apr, 2015Properties of D-block elements
  23. 23Sodium metal crystallizes in a body centred cubic lattice with a unit cell edge of 4.29 . The radius of sodium atom is approximately:04 Apr, 2015Cubic system
  24. 24The standard Gibbs energy change at 300 K for the reaction 2 A B + C is 2494.2 J. At a given time, the composition of the reaction mixture i04 Apr, 2015Law of Mass Action, Equilibrium Constant (Kc and Kp) and its Application
  25. 25Which compound would give 5 - keto - 2 - methyl hexanal upon ozonolysis?04 Apr, 2015Method of preparation for both aldehydes and ketones
  26. 26Which of the following compounds is not an antacid?04 Apr, 2015Drugs and It's Classification
  27. 27In the following sequence of reactions: Toluene KMnO 4 A SOCl 2 B BaSO 4 H 2 / Pd C The Product C is:04 Apr, 2015Method of preparation for Aldehydes
  28. 28Which of the vitamins given below is water soluble?04 Apr, 2015Vitamins
  29. 29The colour of K M n O 4 is due to: [where M → metal, L → ligand]04 Apr, 2015Compounds of Transition Metals
  30. 30Two Faraday of electricity is passed through a solution of C u S O 4 . The mass of copper deposited at the cathode is: (Atomic mass of Cu = 04 Apr, 2015Cells and Electrode Potential, Nernst Equation

Mathematics

  1. 1A complex number z is said to be unimodular if z = 1 . Let z 1 and z 2 are complex numbers such that z 1 - 2 z 2 2 - z 1 z 2 is unimodular a04 Apr, 2015Geometry of Complex Number
  2. 2The normal to the curve x 2 + 2 x y - 3 y 2 = 0 , at 1 , 104 Apr, 2015Tangent Normal
  3. 3The sum of first 9 terms of the series 1 3 1 + 1 3 + 2 3 1 + 3 + 1 3 + 2 3 + 3 3 1 + 3 + 5 + . . . is04 Apr, 2015Summation of Series
  4. 4Let f x be a polynomial of degree four and having its extreme values at x = 1 and x = 2 . If lim x 0 1 + f x x 2 = 3 , then f 2 is equal to04 Apr, 2015Maxima Minima
  5. 5The negation of s r s is equivalent to04 Apr, 2015Mathematical Reasoning
  6. 6If A = 1 2 2 2 1 - 2 a 2 b is a matrix satisfying the equation A A T = 9 I , where I is 3 3 identity matrix, then the ordered pair a , b is 04 Apr, 2015Product of Matrices
  7. 7The integral d x x 2 x 4 + 1 3 4 equals to04 Apr, 2015Integration by Substitution
  8. 8If m is the A . M . of two distinct real numbers I and n I , n 1 and G 1 , G 2 and G 3 are three geometric means between I and n , then G 1 04 Apr, 2015Mixed Question on AP and GP
  9. 9Let y ( x ) be the solution of the differential equation ( x log x ) d y d x + y = 2 x log x , ( x 1 ) . Then y ( e ) is equal to04 Apr, 2015Linear Differential Equation
  10. 10The number of integers greater than 6000 that can be formed, using the digits 3 , 5 , 6 , 7 and 8 , without repetition is04 Apr, 2015Combination
  11. 11The number of points, having both co-ordinates as integers, that lie in the interior of the triangle with vertices 0 , 0 , 0 , 41 and 41 , 004 Apr, 2015Combination
  12. 12Let and be the roots of equation x 2 - 6 x - 2 = 0 . If a n = n - n , n 1 , then the value of a 1 0 - 2 a 8 2 a 9 is equal to04 Apr, 2015Relation between Roots and Coefficients
  13. 13Let tan - 1 y = tan - 1 x + tan - 1 2 x 1 - x 2 , where x 1 3 ,Then a value of y is04 Apr, 2015T inverse T property
  14. 14The distance of the point 1 , 0 , 2 from the point of intersection of the line x - 2 3 = y + 1 4 = z - 2 12 and the plane x - y + z =16 , is04 Apr, 2015Line and Plane
  15. 15The area (in sq. units) of the region described by x , y : y 2 2 x and y 4 x - 1 is04 Apr, 2015Area bounded by two curves
  16. 16Let O be the vertex and Q be any point on the parabola, x 2 = 8 y . If the point P divides the line segment O Q internally in the ratio 1 : 04 Apr, 2015standard equation of parabola
  17. 17The mean of a data set comprising of 16 observations is 16 . If one of the observation value 16 is deleted and three new observations valued04 Apr, 2015Mean
  18. 18The area (in sq. units) of the quadrilateral formed by the tangents at the end points of the latus ractum to the ellipse x 2 9 + y 2 5 = 1 ,04 Apr, 2015Equation of Ellipse
  19. 19The equation of the plane containing the line of intersection of 2 x - 5 y + z = 3 ; x + y + 4 z = 5 , and parallel to the plane, x + 3 y + 04 Apr, 2015Plane in Space
  20. 20The number of common tangents to the circles x 2 + y 2 - 4 x - 6 y - 1 2 = 0 and x 2 + y 2 + 6 x + 1 8 y + 26 = 0 , is04 Apr, 2015Common Tangents
  21. 21The set of all values of for which the system of linear equations: 2 x 1 - 2 x 2 + x 3 = x 1 2 x 1 - 3 x 2 + 2 x 3 = x 2 - x 1 + 2 x 2 = x 304 Apr, 2015System of Linear Equations
  22. 22If 12 identical balls are to be placed in 3 identical boxes, then the probability that one of the boxes contains exactly 3 balls is04 Apr, 2015Conditional Probability and Multiplication Theorem
  23. 23The sum of coefficients of integral powers of x in the binomial expansion of 1 - 2 x 50 is04 Apr, 2015Terms of Binomial Expansion
  24. 24The integral 2 4 log x 2 log x 2 + log 6 - x 2 d x is equal to04 Apr, 2015Properties of Definite Integration
  25. 25If the function g x = { k x + 1 , 0 x 3 m x + 2 , 3 x 5 is differentiable, then the value of k + m is04 Apr, 2015Differentiability
  26. 26Locus of the image of the point ( 2 , 3 ) in the line 2 x - 3 y + 4 + k x - 2 y + 3 = 0 , k R , is a04 Apr, 2015Point and Line
  27. 27lim x 0 1 - cos 2 x 3 + cos x x tan 4 x =04 Apr, 2015Trigonometric and Inverse Trigonometric limits
  28. 28If the angles of elevation of the top of a tower from three collinear points A , B and C on a line leading to the foot of the tower are 30 ,04 Apr, 2015Heights and Distances
  29. 29Let A and B be two sets containing four and two elements respectively. Then the number of subsets of the set A B , each having at least thre04 Apr, 2015Permutation
  30. 30Let a , b and c be three non - zero vectors such that no two of them are collinear and a b c = 1 3 b c a . If is the angle between vectors b04 Apr, 2015Vector Triple Product

Physics

  1. 1In the circuit shown, the current in the 1 resistor is:04 Apr, 2015Electric Cell or Battery
  2. 2Distance of the centre of mass of a solid uniform cone from its vertex is z 0 . If the radius of its base is R and its height is h then z 0 04 Apr, 2015Centre of mass of continuous mass distribution
  3. 3Match list-I (Fundamental Experiment) with List-II (its conclusion) and select the correct option from the choices given below the list: Lis04 Apr, 2015Davison and Germer Experiment
  4. 4The period of oscillation of a simple pendulum is T = 2 l g . Measured value of l is 20 . 0 cm , known to 1 mm accuracy and time for 100 osc04 Apr, 2015Errors of Measurement
  5. 5A red L E D emits light at 0 . 1 watt uniformly around it. The amplitude of the electric field of the light at a distance of 1 m from the di04 Apr, 2015Electromagnetic Waves and Maxwell's equations
  6. 6In the given circuit, charge Q 2 on the 2 F capacitor changes as C is varied from 1 F to 3 F . Q 2 as a function of C is given properly by: 04 Apr, 2015Charging and Discarging of capacitors
  7. 7Two long currents carrying thin wires, both with current I , are held by insulating threads of length L and are in equilibrium as shown in t04 Apr, 2015Electric Field and Electric Field Lines
  8. 8A particle of mass m moving in the x direction with speed 2 v is hit by another particle of mass 2 m moving in the y direction with speed v 04 Apr, 2015Collisions
  9. 9Given in the figure are two blocks A and B of weight 20 N and 100 N , respectively. These are being pressed against a wall by a force F and 04 Apr, 2015Frictional force
  10. 10Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion, the average time of collision bet04 Apr, 2015Thermodynamic Processes
  11. 11A rectangular loop of sides 10 cm and 5 cm , carrying a current I of 12 A , is placed in different orientations as shown in the figure below04 Apr, 2015Force and Torque on Current Carrying Conductor
  12. 12Consider a spherical shell of radius R at temperature T. The black body radiation inside it can be considered as an ideal gas of photons wit04 Apr, 2015Thermodynamic Processes
  13. 13As an electron makes a transition from an excited state to the ground state of a hydrogen-like atom/ion04 Apr, 2015Atomic Spectrum
  14. 14On a hot summer night, the refractive index of air is the smallest near the ground and increases with a height from the ground. When a light04 Apr, 2015Wave Theory and Wavefronts
  15. 15From a solid sphere of mass M and radius R , a spherical portion of radius R 2 is removed as shown in the figure. Taking gravitational poten04 Apr, 2015Gravitational potential and Potential Energy
  16. 16Monochromatic light is incident on a glass prism of angle A. If the refractive index of the material of the prism is , a ray, incident at an04 Apr, 2015Prism and Dispersion of Light
  17. 17Two stones are thrown up simultaneously from the edge of a cliff 240 m high with an initial speed of 10 m s - 1 and 40 m s - 1 respectively.04 Apr, 2015Graphs of motion in one dimension
  18. 18For a simple pendulum, a graph is plotted between its kinetic energy (K.E.) and potential energy (P.E.) against its displacement d. which on04 Apr, 2015Energy of Simple Harmonic Motion
  19. 19A train is moving on a straight track with speed 20 m s - 1 . It is blowing its whistle at the frequency of 1000 Hz . The percentage change 04 Apr, 2015Doppler's Effect
  20. 20An LCR circuit is equivalent to a damped pendulum. In an LCR circuit the capacitor is charged to Q 0 and then connected to the L and R as sh04 Apr, 2015AC Circuits
  21. 21A solid body of constant heat capacity 1 J - 1 is being heated by keeping it in contact with reservoirs in two ways: (i) Sequentially keepin04 Apr, 2015Heat Engine, Refrigerator and Second Law of Thermodynamics
  22. 22An inductor ( L = 0.03 H ) and a resistor ( R = 0.15 k ) are connected in series to a battery of 15 V E.M.F. in a circuit shown below. The k04 Apr, 2015AC Circuits
  23. 23A uniformly charged solid sphere of radius R has potential V 0 (measured with respect to ) on its surface. For this sphere the equipotential04 Apr, 2015Electric Potential and Potential Energy
  24. 24A long cylindrical shell carries positive surface charge in the upper half and negative surface charge in the lower half. The electric field04 Apr, 2015Electric Field and Electric Field Lines
  25. 25Assuming that the human pupil has a radius of 0 . 25 cm and a comfortable viewing distance of 25 cm . The minimum separation between two poi04 Apr, 2015Diffraction of Light
  26. 26A signal of 5 kHz frequency is amplitude modulated on a carrier wave of frequency 2 MHz . The frequencies of the resultant signal is/are:04 Apr, 2015Modulation
  27. 27Two coaxial solenoids of different radii carry current I in the same direction. Let F 1 be the magnetic force on the inner solenoid due to t04 Apr, 2015Force and Torque on Current Carrying Conductor
  28. 28A pendulum made of a uniform wire of cross sectional area A has time period T. When an additional mass M is added to its bob, the time perio04 Apr, 2015Young's Modulus and Breaking Stres
  29. 29From a solid sphere of mass M and radius R , a cube of the maximum possible volume is cut. Moment of inertia of cube about an axis passing t04 Apr, 2015Moment of inertia of rigid bodies
  30. 30When 5 V potential difference is applied across a wire of length 0 . 1 m , the drift speed of electrons is 2.5 10 - 4 m s - 1 . If the elect04 Apr, 2015Electric Current and Drift of Electrons

Frequently Asked Questions

1.How many questions are in the JEE Main 2015 4th 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.How is the JEE Main 2015 4th April paper structured?

The JEE Main 2015 4th 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.How difficult is the JEE Main 2015 4th April paper?

Each question on MARKS carries a difficulty rating. Of the 90 rated questions in this paper, 25 (28%) are easy, 48 (53%) are medium and 17 (19%) are hard. Subject wise:

  • Chemistry: 8 easy, 20 medium, 2 hard
  • Mathematics: 7 easy, 15 medium, 8 hard
  • Physics: 10 easy, 13 medium, 7 hard
5.Which chapters were asked the most in the JEE Main 2015 4th April paper?

The chapters with the most questions in each subject were:

  • Chemistry: d and f Block Elements (3), Aldehydes and Ketones (2), and General Organic Chemistry (2).
  • Mathematics: Permutation Combination (3), Application of Derivatives (2), and Sequences and Series (2).
  • Physics: Electrostatics (3), Thermodynamics (3), and Alternating Current (2).
6.Are there any out-of-syllabus questions in the JEE Main 2015 4th April paper?

Yes. 22 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 2015 4th 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 2015 4th 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 2015 4th 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.