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JEE Main 2016 3rd April

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Main 2016 3rd 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 - 26 easy (29%), 46 moderate (51%) and 18 tough (20%). That's a fairly typical mix for this exam. By subject: Physics 37% easy, 40% moderate, 23% tough; Chemistry 27% easy, 57% moderate, 17% tough; Mathematics 23% easy, 57% moderate, 20% tough.

Chemistry questions were spread across 25 chapters, with Coordination Compounds (2), General Organic Chemistry (2), and Haloalkanes and Haloarenes (2) carrying the most weight. Mathematics questions were spread across 25 chapters, with Application of Derivatives (2), Circle (2), and Limits (2) carrying the most weight. Physics questions were spread across 24 chapters, with Semiconductors (4), Ray Optics (2), and Rotational Motion (2) carrying the most weight.

Chemistry

  1. 1Two closed bulbs of equal volume V containing an ideal gas initially at pressure p i and temperature T 1 are connected through a narrow tube03 Apr, 2016Gas laws and Ideal Gas Equation
  2. 2Which of the following statements about water is FALSE?03 Apr, 2016Preparation and Properties of Water
  3. 3In the Hoffmann bromamide degradation reaction, the number of moles of NaOH and B r 2 used per mole of amine produced are:03 Apr, 2016Preparation and Properties of Amines
  4. 4Which of the following atoms has the highest first ionization energy?03 Apr, 2016Periodic properties
  5. 5The concentration of fluoride, lead, nitrate and iron in a water sample from an underground lake was found to be 1000 ppb , 40 ppb , 100 ppm03 Apr, 2016Water Pollution
  6. 6The heats of combustion of carbon and carbon monoxide are - 393.5 a n d - 283.5 k J m o l - 1 , respectively. The heat of formation in kJ of03 Apr, 2016Laws of Thermochemistry and Enthalpy Change
  7. 7The equilibrium constant at 298 K for a reaction A + B C + D is 100 . If the initial concentration of all the four species were 1 M each, th03 Apr, 2016Law of Mass Action, Equilibrium Constant (Kc and Kp) and its Application
  8. 8The absolute configuration of is:03 Apr, 2016Isomerism of Organic Compounds
  9. 9For a linear plot of log x m versus log p in a Freundlich adsorption isotherm, which of the following statements is correct? ( k and n are c03 Apr, 2016Adsorption isotherms
  10. 10The distillation technique most suited for separating glycerol from spent - lye in the soap industry is:03 Apr, 2016Purification of Organic Compounds
  11. 11Which of the following is an anionic detergent?03 Apr, 2016Cleansing Agents
  12. 12The species in which the N atom is a state of sp hybridization is:03 Apr, 2016Hybridisation and VSEPR Theory
  13. 13Thiol group is present in:03 Apr, 2016Properties and Preparation of Amino Acids
  14. 14Which one of the following ores is best concentrated by froth flotation method?03 Apr, 2016Concentration of the Ore
  15. 15Which of the following statements about low density polythene is FALSE?03 Apr, 2016Preparation and Properties of Polymers
  16. 16Find the metallic and ferromagnetic substance.03 Apr, 2016Properties of D-block elements
  17. 17The product of the reaction give below is:03 Apr, 2016Preparation and Properties of Monohalides
  18. 18The hottest region of Bunsen flame shown in the figure below is:03 Apr, 2016Adsorption
  19. 19At 300 K and 1 atm , 15 mL of a gaseous hydrocarbon requires 375 mL air containing 20 % O 2 by volume, for complete combustion. After combus03 Apr, 2016Quantitative measures in chemical equations
  20. 20The pair in which phosphorous atoms have a formal oxidation state of + 3 is:03 Apr, 2016Phosphorus and Its Compounds
  21. 21The reaction of propene with HOCl C l 2 + H 2 O proceeds through the intermediate:03 Apr, 2016Preparation and Reactions of Conjugate Dienes
  22. 222 - chloro - 2 - methylpentane on reaction with sodium methoxide in methanol yields: (i) (ii) (iii)03 Apr, 2016Preparation and Properties of Monohalides
  23. 23Which one of the following complexes shows optical isomerism? (en=ethylendiamine)03 Apr, 2016Isomerism of coordination compounds
  24. 24The main oxides formed on combustion of Li, Na and K in excess of air are respectively:03 Apr, 2016General Characteristics of Alkali Metals
  25. 2518 g glucose C 6 H 12 O 6 is added to 178 . 2 g water. The vapour pressure of water (in torr) for this aqueous solution is:03 Apr, 2016Vapour pressure and raoult's law
  26. 26The reaction of zinc with dilute and concentrated nitric acid, respectively, produces:03 Apr, 2016Nitrogen and Its Compounds
  27. 27Decomposition of H 2 O 2 follows a first order reaction. In fifty minutes the concentration of H 2 O 2 decreases from 0.5 to 0.125 M in one 03 Apr, 2016Integrated rate laws
  28. 28The pair having the same magnetic moment is: A t . N o . : C r = 24 , M n = 25 , F e = 26 , C o = 2703 Apr, 2016Werner's theory and Valence Bond Theory
  29. 29Galvanization is applying a coating of:03 Apr, 2016Corrosion
  30. 30A stream of electrons from a heat filament was passed between two charge plates kept at a potential difference V esu . If e and m are charge03 Apr, 2016Dual Behaviour of Matter and Heisenberg Uncertainty Principle

Mathematics

  1. 1The area (in sq . units ) of the region { x , y : y 2 2 x and x 2 + y 2 4 x , x 0 , y 0 } is03 Apr, 2016Area bounded by Miscellaneous Curves
  2. 2If f x + 2 f 1 x = 3 x , x 0 , and S = x R : f x = f - x , then S03 Apr, 2016Functional Equation
  3. 3The integral 2 x 12 + 5 x 9 x 5 + x 3 + 1 3 d x , is equal to03 Apr, 2016Integration by Substitution
  4. 4For x ∈ R , f x = log ⁡ 2 - sin ⁡ x and g x = f f x , then03 Apr, 2016Differentiability
  5. 5The centres of those circles which touch the circle, x 2 + y 2 - 8 x - 8 y - 4 = 0 , externally and also touch the x - axis, lie on03 Apr, 2016Family of Circle
  6. 6The sum of all real values of x satisfying the equation x 2 - 5 x + 5 x 2 + 4 x - 60 = 1 is03 Apr, 2016Relation between Roots and Coefficients
  7. 7If the 2 n d , 5 t h and 9 t h terms of a non-constant arithmetic progression are in geometric progression, then the common ratio of this ge03 Apr, 2016Mixed Question on AP and GP
  8. 8The eccentricity of the hyperbola whose length of its conjugate axis is equal to half of the distance between its foci, is03 Apr, 2016Equation of hyperbola
  9. 9If the number of terms in the expansion of 1 - 2 x + 4 y 2 n , x , y 0 , is 28 , then the sum of the coefficients of all the terms in this e03 Apr, 2016Sum of Series
  10. 10The Boolean Expression p q q p q is equivalent to03 Apr, 2016Mathematical Reasoning
  11. 11Consider f x = tan - 1 1 + sin x 1 - sin x , x 0 , 2 . A normal to y = f x at x = 6 also passes through the point03 Apr, 2016Tangent Normal
  12. 12lim n n + 1 n + 2 . 3 n n 2 n 1 n is equal to03 Apr, 2016Algebraic and Rational Limits
  13. 13If one of the diameters of the circle, given by the equation, x 2 + y 2 - 4 x + 6 y - 12 = 0 , is a chord of a circle S , whose centre is at03 Apr, 2016line and circle
  14. 14Let two fair six-faced dice A and B be thrown simultaneously. If E 1 is the event that die A shows up four, E 2 is the event that die B show03 Apr, 2016Independent Events
  15. 15A value of for which 2 + 3 i sin 1 - 2 i sin is purely imaginary, is03 Apr, 2016Algebra of complex numbers
  16. 16If the sum of the first ten terms of the series 1 3 5 2 + 2 2 5 2 + 3 1 5 2 + 4 2 + 4 4 5 2 + . , is 16 5 m , then m is equal to03 Apr, 2016Summation of Series
  17. 17The system of linear equations x + y - z = 0 x - y - z = 0 x + y - z = 0 has a non -trivial solution for03 Apr, 2016System of Linear Equations
  18. 18If the line, x - 3 2 = y + 2 - 1 = z + 4 3 lies in the plane l x + m y - z = 9 , then l 2 + m 2 is equal to03 Apr, 2016Line and Plane
  19. 19If all the words (with or without meaning) having five letters, formed using the letters of the word S M A L L and arranged as in a dictiona03 Apr, 2016Selection of one or more item
  20. 20If the standard deviation of the numbers 2 , 3 , a and 11 is 3 . 5 , then which of the following is true ?03 Apr, 2016Mean Square Deviation
  21. 21A wire of length 2 units is cut into two parts which are bent respectively to form a square of side = x units and a circle of radius = r uni03 Apr, 2016Maxima Minima
  22. 22Let P = lim x 0 + 1 + tan 2 x 1 2 x , then log P is equal to03 Apr, 2016Special Forms
  23. 23Let P be the point on the parabola, y 2 = 8 x which is at a minimum distance from the center C of the circle x 2 + y + 6 2 = 1 . Then the eq03 Apr, 2016Locus
  24. 24If a curve y = f x passes through the point ( 1 , - 1 ) and satisfies the differential equation, y 1 + x y d x = x d y , then f - 1 2 is equ03 Apr, 2016Linear Differential Equation
  25. 25Let a , b and c be three unit vectors such that a b c = 3 2 b + c . If b is not parallel to c , then the angle between a and b is03 Apr, 2016Vector Triple Product
  26. 26If A = 5 a - b 3 2 and A . a d j A = A A T , then 5 a + b is equal to03 Apr, 2016Adjoint and its Properties
  27. 27A man is walking towards a vertical pillar in a straight path, at a uniform speed. At a certain point A on the path, he observes that the an03 Apr, 2016Heights and Distances
  28. 28The distance of the point 1 , - 5 , 9 from the plane x - y + z = 5 measured along the line x = y = z is03 Apr, 2016Plane in Space
  29. 29Two sides of a rhombus are along the lines, x - y + 1 = 0 and 7 x - y - 5 = 0 . If its diagonals intersect at - 1 , - 2 , then which one of 03 Apr, 2016Locus
  30. 30If 0 x 2 , then the number of real values of x , which satisfy the equation cos x + cos 2 x + cos 3 x + cos 4 x = 0 , is03 Apr, 2016Solving Trigonometric Equation

Physics

  1. 1A particle performs simple harmonic motion with amplitude A. Its speed is tripled at the instant that it is at a distance 2 A 3 from equilib03 Apr, 2016Simple Harmonic Motion
  2. 2For a common emitter configuration, if and have their usual meanings, the correct relationship between and is:03 Apr, 2016Junction Transistors
  3. 3A student measures the time period of 100 oscillations of a simple pendulum four times. The data set is 90 s, 91 s, 95 s and 92 s. If the mi03 Apr, 2016Errors of Measurement
  4. 4If a, b, c, d are inputs to a gate and x is its output, then, as per the following time graph, the gate is:03 Apr, 2016Logic gates
  5. 5A particle of mass m is moving along the side of a square of side a , with a uniform speed in the x-y plane as shown in the figure: Which of03 Apr, 2016Angular momentum and Angular impulse
  6. 6Choose the correct statement:03 Apr, 2016Modulation
  7. 7Radiation of wavelength λ is incident on a photocell. The fastest emitted photoelectron has a speed v . If the wavelength is changed to 3 λ 03 Apr, 2016Photoelectric Effect
  8. 8Two identical wires A and B , each of length l , carry the same current I . Wire A is bent into a circle of radius R and wire B is bent to f03 Apr, 2016Magnetic Field
  9. 9A pipe open at both ends has a fundamental frequency f in air. The pipe is dipped vertically in water so that half of it is in water. The fu03 Apr, 2016Organ Pipe (Vibration of Air Column)
  10. 10The region between two concentric spheres of radii a and b , respectively (see figure), has volume charge density = A r , where A is a const03 Apr, 2016Electric Field and Electric Field Lines
  11. 11An arc lamp requires a direct current of 10 A at 80 V to function. If it is connected to a 220 V (rms), 50 Hz AC supply, the series inductor03 Apr, 2016AC Circuits
  12. 12n moles of an ideal gas undergoes a process A B as shown in the figure. The maximum temperature of the gas during the process will be:03 Apr, 2016Thermodynamic Processes
  13. 13A person trying to lose weight by burning fat lifts a mass of 10 kg upto a height of 1m 1000 times. Assume that the potential energy lost ea03 Apr, 2016Energy
  14. 14A point particle of mass m, moves along the uniformly rough track PQR as shown in the figure. The coefficient of friction, between the parti03 Apr, 2016Frictional force
  15. 15The temperature dependence of resistance of Cu and undoped Si in the temperature range 300 - 400 K is best described by03 Apr, 2016Semiconductors
  16. 16Arrange the following electromagnetic radiations per quantum in the order of increasing energy: A : Blue light B : Yellow light C : X-ray D 03 Apr, 2016Electromagnetic Spectrum
  17. 17A galvanometer having a coil resistance of 100 gives a full scale deflection, when a current of 1 mA is passed through it. The value of the 03 Apr, 2016Electric Instruments
  18. 18Half-lives of two radioactive elements A and B are 20 minutes and 40 minutes , respectively. Initially, the samples have an equal number of 03 Apr, 2016Radioactivity
  19. 19Identify the semiconductor devices whose characteristics are given below, in the order a , b , c , d :03 Apr, 2016Diodes
  20. 20A combination of capacitors is set up as shown in the figure. The magnitude of the electric field, due to a point charge Q (having a charge 03 Apr, 2016Grouping of capacitors
  21. 21A satellite is revolving in a circular orbit at a height h from the earth s surface (radius of earth R ; h R ). The minimum increase in its 03 Apr, 2016Motion of satellite
  22. 22A screw gauge with a pitch of 0.5 mm and a circular scale with 50 divisions is used to measure the thickness of a thin sheet of aluminium. B03 Apr, 2016Experimental Physics
  23. 23A roller is made by joining together two cones at their vertices O. It is kept on two rails AB and CD which are placed asymmetrically (see f03 Apr, 2016Torque
  24. 24Hysteresis loops for two magnetic materials A and B are given below: These materials are used to make magnets for electric generators, trans03 Apr, 2016Magnetic Materials and their Properties
  25. 25The box of a pin hole camera, of length L, has a hole of radius a. It is assumed that when the hole is illuminated by a parallel beam of lig03 Apr, 2016Diffraction of Light
  26. 26A uniform string of length 20 m is suspended from a rigid support. A short wave pulse is introduced at its lowest end. It starts moving up t03 Apr, 2016Vibration of String
  27. 27An ideal gas undergoes a quasi-static, reversible process in which its molar heat capacity C remains constant. If during this process the re03 Apr, 2016Degree of Freedom and Specific Heat
  28. 28An observer looks at a distant tree of height 10 m with a telescope of magnifying power of 20 . To the observer, the tree appears as03 Apr, 2016Optical Instruments
  29. 29In an experiment for determination of refractive index of glass of a prism by i v/s plot, it was found that a ray incident at angle 35 o , s03 Apr, 2016Prism and Dispersion of Light
  30. 30A pendulum clock loses 12 s a day if the temperature is 40 o C and gains 4s a day if the temperature is 20 o C. The temperature at which the03 Apr, 2016Thermal Expansion

Frequently Asked Questions

1.How many questions are in the JEE Main 2016 3rd 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 2016 3rd April paper structured?

The JEE Main 2016 3rd 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 2016 3rd April paper?

Each question on MARKS carries a difficulty rating. Of the 90 rated questions in this paper, 26 (29%) are easy, 46 (51%) are medium and 18 (20%) are hard. Subject wise:

  • Chemistry: 8 easy, 17 medium, 5 hard
  • Mathematics: 7 easy, 17 medium, 6 hard
  • Physics: 11 easy, 12 medium, 7 hard
5.Which chapters were asked the most in the JEE Main 2016 3rd April paper?

The chapters with the most questions in each subject were:

  • Chemistry: Coordination Compounds (2), General Organic Chemistry (2), and Haloalkanes and Haloarenes (2).
  • Mathematics: Application of Derivatives (2), Circle (2), and Limits (2).
  • Physics: Semiconductors (4), Ray Optics (2), and Rotational Motion (2).
6.Are there any out-of-syllabus questions in the JEE Main 2016 3rd April paper?

Yes. 27 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 2016 3rd 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 2016 3rd 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 2016 3rd 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.