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JEE Main 2017 2nd April

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Main 2017 2nd 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 - 28 easy (31%), 47 moderate (52%) and 15 tough (17%). That's a fairly typical mix for this exam. By subject: Physics 40% easy, 43% moderate, 17% tough; Chemistry 33% easy, 57% moderate, 10% tough; Mathematics 20% easy, 57% moderate, 23% tough.

Chemistry questions were spread across 21 chapters, with Haloalkanes and Haloarenes (4), Aldehydes and Ketones (2), and Some Basic Concepts of Chemistry (2) carrying the most weight. Mathematics questions were spread across 26 chapters, with Application of Derivatives (2), Functions (2), and Probability (2) carrying the most weight. Physics questions were spread across 23 chapters, with Current Electricity (3), Capacitance (2), and Kinetic Theory of Gases (2) carrying the most weight.

Chemistry

  1. 11 gram of a carbonate M 2 CO 3 on treatment with excess HCl produces 0.01186 moles of CO 2 . The molar mass of M 2 CO 3 in gmol - 1 is:02 Apr, 2017Mole concept
  2. 2Given: C graphite + O 2 g CO 2 g ; r H o = 393 .5 kJ mol 1 H 2 g + 1 2 O 2 g H 2 O l ; r H o = - 285 .8 kJ mol - 1 CO 2 g + 2 H 2 O l CH 4 g02 Apr, 2017Laws of Thermochemistry and Enthalpy Change
  3. 3The freezing point of benzene decreases by 0.45 C on adding 0 . 2 g of acetic acid to 20 g of benzene. If acetic acid associates to form a d02 Apr, 2017Colligative Properties and Abnormal Molecular Masses
  4. 4The most abundant elements by mass in the body of a healthy human adult are: Oxygen (61.4%); Carbon (22.9%), Hydrogen (10.0%); and Nitrogen 02 Apr, 2017Mole concept
  5. 5Δ U is equal to:02 Apr, 2017First Law and Basic Fundamentals of Thermodynamics
  6. 6The formation of which of the following polymers involves hydrolysis reaction?02 Apr, 2017Preparation and Properties of Polymers
  7. 7Given E Cl 2 / Cl - o = 1 .36 V , E Cr 3 + / Cr o = - 0 .74 V E Cr 2 O 7 2 - / Cr 3 + o = 1 .33 V , E MnO 4 - / Mn 2 + o = 1 .51 V . Among t02 Apr, 2017Cells and Electrode Potential, Nernst Equation
  8. 8The Tyndall effect is observed only when the following conditions are satisfied, i The diameter of the dispersed particles is much smaller t02 Apr, 2017Properties of colloidal solution
  9. 9In the following reactions, ZnO is respectively acting as a/an, (i) ZnO + Na 2 O Na 2 ZnO 2 (ii) ZnO + CO 2 ZnCO 302 Apr, 2017Compounds of Transition Metals
  10. 10Which of the following compounds will behave as reducing sugar in an aqueous KOH solution?02 Apr, 2017Preparation and Reactions of Glucose
  11. 11The major product obtained in the following reaction is,02 Apr, 2017Preparation and Properties of Monohalides
  12. 12Which of the following species is not paramagnetic?02 Apr, 2017Molecular Orbital Theory
  13. 13On treatment of 100 mL of 0 . 1 M solution of CoCl 3 . 6 H 2 O with excess AgNO 3 ; 1 .2 10 22 ions are precipitated. The complex is:02 Apr, 2017Isomerism of coordination compounds
  14. 14pK a of a weak acid HA and pK b of a weak base BOH are 3.2 and 3.4 respectively. The pH of their salt AB solution at 25 o C is02 Apr, 2017Salt Hydrolysis
  15. 15The increasing order of the reactivity of the following halides for the S N 1 reaction is02 Apr, 2017Preparation and Properties of Monohalides
  16. 16Both lithium and magnesium display several similar properties due to the diagonal relationship; however, the one which is incorrect is:02 Apr, 2017Properties of S-block elements
  17. 17The correct sequence of reagents for the following conversion will be02 Apr, 2017Chemical reactions for aldehydes and ketones
  18. 18The products obtained when chlorine gas reacts with cold and dilute aqueous NaOH are02 Apr, 2017Halogens and Its Compounds
  19. 19Which of the following compounds will form significant amount of meta product during mono-nitration reaction?02 Apr, 2017Reactions of aromatic compounds
  20. 203 - Methyl - pent - 2 - ene on reaction with HBr in presence of peroxide forms an addition product. The number of possible stereoisomers for02 Apr, 2017Preparation and Properties of Monohalides
  21. 21Two reactions A 1 and A 2 have identical pre-exponential factors. The activation energy of A 1 is more than A 2 by 10 kJ mol - 1 . If k 1 an02 Apr, 2017Arrhenius theory
  22. 22Which of the following molecules is least resonance stabilized?02 Apr, 2017Conjugation and Aromaticity
  23. 23Among the following species which option contains all isoelectronic species?02 Apr, 2017Atomic Mass and Atomic Size
  24. 24The radius of the second Bohr orbit for hydrogen atom is (Planck s constant, ( h ) = 6 .6262 10 34 Js ; mass of electron = 9 .1091 10 - 31 k02 Apr, 2017Bohr's model
  25. 25The major product obtained in the following reaction is02 Apr, 2017Method of preparation for Aldehydes
  26. 26Which of the following reactions is an example of a redox reaction?02 Apr, 2017Noble Gases
  27. 27A metal crystallizes in a face centred cubic structure. If the edge length of its unit cell is ' a ' , the closest approach between two atom02 Apr, 2017Cubic system
  28. 28The sodium salt of an organic acid X produces effervescence with concentrated H 2 SO 4 . X reacts with the acidified aqueous CaCl 2 solution02 Apr, 2017Compounds of Transition Metals
  29. 29A water sample has ppm level concentration of following anions F - = 10 ; SO 4 2 - = 100 ; NO 3 - = 50 The anion/anions that make/makes the 02 Apr, 2017Water Pollution
  30. 30Which of the following, upon treatment with tert- BuONa followed by addition of bromine water, fails to decolourize the colour of bromine?02 Apr, 2017Preparation and Properties of Monohalides

Mathematics

  1. 1If S is the set of distinct values of b for which the following system of linear equations x + y + z = 1 x + a y + z = 1 a x + b y + z = 0 h02 Apr, 2017System of Linear Equations
  2. 2The statement p q ~ p q q is02 Apr, 2017Mathematical Reasoning
  3. 3If 5 tan 2 x - cos 2 x = 2 cos 2 x + 9 , then the value of cos 4 x is02 Apr, 2017Transformation Formulas
  4. 4For three events, A , B and C , P (Exactly one of A or B occurs) = P (Exactly one of B or C occurs) = P (Exactly one of C or A occurs) = 1 402 Apr, 2017Conditional Probability and Multiplication Theorem
  5. 5Let be a complex number such that 2 + 1 = z where z = - 3 . If 1 1 1 1 - 2 - 1 2 1 2 7 = 3 k , Then k can be equal to:02 Apr, 2017Algebra of complex numbers
  6. 6Let k be an integer such that the triangle with vertices k , - 3 k , 5 , k and - k , 2 has area 28 sq. units. Then the orthocenter of this t02 Apr, 2017Locus
  7. 7Twenty meters of wire is available for fencing off a flower-bed in the form of a circular sector. Then the maximum area (in sq. m) of the fl02 Apr, 2017Maxima Minima
  8. 8The area (in sq. units) of the region x , y : x 0 , x + y 3 , x 2 4 y a n d y 1 + x is02 Apr, 2017Area bounded by Miscellaneous Curves
  9. 9If the image of the point P 1 , - 2 , 3 in the plane, 2 x + 3 y - 4 z + 22 = 0 measured parallel to the line, x 1 = y 4 = z 5 is Q , then P 02 Apr, 2017Plane in Space
  10. 10If for x 0 , 1 4 , the derivative of tan - 1 6 x x 1 - 9 x 3 is x g x , then g x equals:02 Apr, 2017Differentiation of Inverse Trigonometric Functions
  11. 11If 2 + sin x d y d x + y + 1 cos x = 0 and y 0 = 1 , then y 2 is equal to02 Apr, 2017Variable Separable Form
  12. 12Let a vertical tower A B have its end A on the level ground. Let C be the mid-point of A B and P be a point on the ground such that A P = 2 02 Apr, 2017Heights and Distances
  13. 13If A = 2 - 3 - 4 1 , then Adj 3 A 2 + 12 A is equal to:02 Apr, 2017Adjoint and its Properties
  14. 14For any three positive real numbers a , b and c . If 9 25 a 2 + b 2 + 25 c 2 - 3 a c = 15 b 3 a + c . Then02 Apr, 2017Inequalities
  15. 15The distance of the point 1 , 3 , - 7 from the plane passing through the point 1 , - 1 , - 1 , having normal perpendicular to both the lines02 Apr, 2017Line in Space
  16. 16Let, I n = tan n x d x n 1 . If I 4 + I 6 = a tan 5 x + b x 5 + c , then the ordered pair a , b , is equal to02 Apr, 2017Miscellaneous Forms
  17. 17The eccentricity of an ellipse whose centre is at the origin is 1 2 . If one of its directrices is x = - 4 , then the equation of the normal02 Apr, 2017Equation of Ellipse
  18. 18A hyperbola passes through the point P 2 , 3 and has foci at 2 , 0 . Then the tangent to this hyperbola at P also passes through the point02 Apr, 2017Tangent to hyperbola
  19. 19The function f : R - 1 2 , 1 2 defined as f x = x 1 + x 2 , is:02 Apr, 2017Types of Function (Mapping)
  20. 20lim x 2 cot x - cos x - 2 x 3 equals02 Apr, 2017Trigonometric and Inverse Trigonometric limits
  21. 21Given, a = 2 i ^ + j ^ - 2 k ^ and b = i ^ + j ^ . Let c be a vector such that c - a = 3 , a b c = 3 and the angle between c and a b be 30 .02 Apr, 2017Product of 2 vectors
  22. 22The normal to the curve y x - 2 x - 3 = x + 6 at the point where the curve intersects the y -axis passes through the point:02 Apr, 2017Tangent Normal
  23. 23If two different numbers are taken from the set 0 , 1 , 2 , 3 , . . . . . , 10 ; then the probability that their sum as well as absolute dif02 Apr, 2017Classical Definition of Probability
  24. 24A man X has 7 friends, 4 of them are ladies and 3 are men. His wife Y also has 7 friends, 3 of them are ladies and 4 are men. Assume X and Y02 Apr, 2017Selection of one or more item
  25. 25The value of 21 C 1 - 10 C 1 + 21 C 2 - 10 C 2 + 21 C 3 - 10 C 3 + 21 C 4 - 10 C 4 + + 21 C 10 - 10 C 10 is02 Apr, 2017Sum of Series
  26. 26A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn, one-by-one, with replacement, then the variance of the number o02 Apr, 2017Measures of Dispersion
  27. 27Let a , b , c R . If f x = a x 2 + b x + c is such that a + b + c = 3 and f x + y = f x + f y + x y , x , y R , then n = 1 10 f ( n ) is equ02 Apr, 2017Functional Equation
  28. 28The radius of a circle, having minimum area, which touches the curve y = 4 - x 2 and the lines, y = x is:02 Apr, 2017line and circle
  29. 29If, for a positive integer n , the quadratic equation, x x + 1 + x + 1 x + 2 + . .. + x + n - 1 x + n = 10 n has two consecutive integral so02 Apr, 2017Relation between Roots and Coefficients
  30. 30The integral 4 3 4 d x 1 + cos x is equal to02 Apr, 2017Properties of Definite Integration

Physics

  1. 1A radioactive nucleus A with a half-life T , decays into a nucleus B . At t = 0 , there is no nucleus B . At some time t , the ratio of the 02 Apr, 2017Radioactivity
  2. 2The following observations were taken for determining surface tension T of water by capillary method: diameter of capillary, D = 1.25 10 - 202 Apr, 2017Errors of Measurement
  3. 3An electron beam is accelerated by a potential difference V to hit a metallic target to produce X - rays. It produces continuous as well as 02 Apr, 2017X-Rays
  4. 4The moment of inertia of a uniform cylinder of length l and radius R about its perpendicular bisector is I . What is the ratio l / R such th02 Apr, 2017Moment of inertia of rigid bodies
  5. 5A slender uniform rod of mass M and length l is pivoted at one end so that it can rotate in a vertical plane (see figure). There is negligib02 Apr, 2017Rotational kinematics
  6. 6C p - C v = R M and C v are specific heats at constant pressure and constant volume respectively. It is observed that, C p - C v = a for hyd02 Apr, 2017Degree of Freedom and Specific Heat
  7. 7A copper ball of mass 100 g is at a temperature T . It is dropped in a copper calorimeter of mass 100 g, filled with 170 g of water at room 02 Apr, 2017Calorimetry
  8. 8In amplitude modulation, the sinusoidal carrier frequency used is denoted by c and the signal frequency is denoted by m . The bandwidth m of02 Apr, 2017Modulation
  9. 9The temperature of an open room of volume 30 m 3 increases from 17 C to 27 C due to the sunshine. The atmospheric pressure in the room remai02 Apr, 2017Gas Laws
  10. 10In a Young s double slit experiment, slits are separated by 0 . 5 mm , and the screen is placed 150 cm away. A beam of light consisting of t02 Apr, 2017Youngs Double Slit Experiment
  11. 11A particle A of mass m and initial velocity v collides with a particle B of mass m 2 which is at rest. The collision is head on, and elastic02 Apr, 2017Matter Waves
  12. 12A magnetic needle of magnetic moment 6 .7 10 - 2 A m 2 and moment of inertia 7 .5 10 - 6 kg m 2 is performing simple harmonic oscillations i02 Apr, 2017Magnetic Equipments
  13. 13An electric dipole has fixed dipole moment p , which makes angle with respect to x - axis. When subjected to an electric field E 1 = E i ^ ,02 Apr, 2017Electric Dipole
  14. 14In a coil of resistance 100 , a current is induced by changing the magnetic flux through it as shown in the figure. The magnitude of change 02 Apr, 2017Induced Electric Field
  15. 15A time dependent force F = 6 t acts on a particle of mass 1 kg . If the particle starts from the rest, the work done by the force during the02 Apr, 2017Energy
  16. 16Some energy levels of a molecule are shown in the figure. The ratio of the wavelengths r = 1 2 , is given by:02 Apr, 2017Atomic Spectrum
  17. 17In the above circuit the current in each resistance is:02 Apr, 2017Combination of Resistances
  18. 18A body is thrown vertically upwards. Which one of the following graphs correctly represents the velocity v vs time t ?02 Apr, 2017Graphs of motion in one dimension
  19. 19A capacitance of 2 F is required in an electrical circuit across a potential difference of 1 . 0 kV . A large number of 1 F capacitors are a02 Apr, 2017Grouping of capacitors
  20. 20In the given circuit diagram, when the current reaches a steady-state in the circuit, the charge on the capacitor of capacitance C will be:02 Apr, 2017Charging and Discarging of capacitors
  21. 21In a common emitter amplifier circuit using an n - p - n transistor, the phase difference between the input and the output voltages will be:02 Apr, 2017Junction Transistors
  22. 22Which of the following statements is false?02 Apr, 2017Wheatstone Bridge
  23. 23A particle is executing simple harmonic motion with a time period T . At time t = 0 , it is at its position of equilibrium. The kinetic ener02 Apr, 2017Energy of Simple Harmonic Motion
  24. 24An observer is moving with half the speed of light towards a stationary microwave source emitting waves at frequency 10 GHz . What is the fr02 Apr, 2017Doppler's Effect
  25. 25A man grows into a giant such that his linear dimensions increase by a factor of 9 . Assuming that his density remains same, the stress in t02 Apr, 2017Young's Modulus and Breaking Stres
  26. 26When a current of 5 mA is passed through a galvanometer having a coil of resistance 15 , it shows full-scale deflection. The value of the re02 Apr, 2017Electric Instruments
  27. 27The variation of acceleration due to gravity g with distance d from the centre of the earth is best represented by ( R = Earth s radius):02 Apr, 2017Acceleration Due to Gravity
  28. 28An external pressure P is applied on a cube at 0 C so that it is equally compressed from all sides. K is the bulk modulus of the material of02 Apr, 2017Thermal Expansion
  29. 29A diverging lens with magnitude of focal length 25 cm is placed at a distance of 15 cm from a converging lens of magnitude of focal length 202 Apr, 2017Lens Formula, Refraction of light from curved surface
  30. 30A body of mass m = 10 2 kg is moving in a medium and experiences a frictional force F = k v 2 . Its initial speed is v 0 = 10 m s 1 . After 02 Apr, 2017Energy

Frequently Asked Questions

1.How many questions are in the JEE Main 2017 2nd 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 2017 2nd April paper structured?

The JEE Main 2017 2nd 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 2017 2nd April paper?

Each question on MARKS carries a difficulty rating. Of the 90 rated questions in this paper, 28 (31%) are easy, 47 (52%) are medium and 15 (17%) are hard. Subject wise:

  • Chemistry: 10 easy, 17 medium, 3 hard
  • Mathematics: 6 easy, 17 medium, 7 hard
  • Physics: 12 easy, 13 medium, 5 hard
5.Which chapters were asked the most in the JEE Main 2017 2nd April paper?

The chapters with the most questions in each subject were:

  • Chemistry: Haloalkanes and Haloarenes (4), Aldehydes and Ketones (2), and d and f Block Elements (2).
  • Mathematics: Application of Derivatives (2), Functions (2), and Probability (2).
  • Physics: Current Electricity (3), Capacitance (2), and Kinetic Theory of Gases (2).
6.Are there any out-of-syllabus questions in the JEE Main 2017 2nd April paper?

Yes. 18 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 2017 2nd 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 2017 2nd 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 2017 2nd 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.