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JEE Advanced 2015 Paper 1

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Advanced 2015 Paper 1 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 60 questions in total - 15 easy (25%), 34 moderate (57%) and 11 tough (18%). That's a fairly typical mix for this exam. By subject: Physics 30% easy, 50% moderate, 20% tough; Chemistry 25% easy, 55% moderate, 20% tough; Mathematics 20% easy, 65% moderate, 15% tough.

Chemistry questions were spread across 17 chapters, with General Organic Chemistry (3), General Principles and Processes of Isolation of Metals (2), and Aldehydes and Ketones (1) carrying the most weight. Mathematics questions were spread across 16 chapters, with Definite Integration (2), Differential Equations (2), and Parabola (2) carrying the most weight. Physics questions were spread across 15 chapters, with Dual Nature of Matter (2), Electrostatics (2), and Nuclear Physics (2) carrying the most weight.

Chemistry

  1. 1The total number of stereoisomers that can exist for M is2015 (Paper 1)Isomerism of Organic Compounds
  2. 2The number of resonance structures for N is2015 (Paper 1)Conjugation and Aromaticity
  3. 3The total number of lone pairs of electrons in N 2 O 3 is2015 (Paper 1)Nitrogen and Its Compounds
  4. 4For the octahedral complexes of F e 3 + in S C N - (thiocyanato-S) and in C N - ligand environments, the difference between the spin-only ma2015 (Paper 1)Werner's theory and Valence Bond Theory
  5. 5Among the triatomic molecules/ions, B e C l 2 , N 3 - , N 2 O , N O 2 + , O 3 , S C l 2 , I C l 2 - , I 3 - and X e F 2 , the total number o2015 (Paper 1)Hybridisation and VSEPR Theory
  6. 6Not considering the electronic spin, the degeneracy of the second excited state (n = 3 ) of H atom is 9 , while the degeneracy of the second2015 (Paper 1)Bohr's model
  7. 7All the energy released from the reaction X Y , r G o = - 193 k J m o l - 1 is used for oxidizing M + as M + M 3 + + 2 e - , E o = - 0.25 V 2015 (Paper 1)Cells and Electrode Potential, Nernst Equation
  8. 8If the freezing point of a 0.01 molal aqueous solution of a cobalt (III) chloride-ammonia complex (which behaves as a strong electrolyte) is2015 (Paper 1)Colligative Properties and Abnormal Molecular Masses
  9. 9Compound(s) that on hydrogenation produce(s) optically inactive compound(s) is (are)2015 (Paper 1)Isomerism of Organic Compounds
  10. 10The major product of the following reaction is2015 (Paper 1)Chemical reactions for aldehydes and ketones
  11. 11In the following reaction, the major product is2015 (Paper 1)Reactions of alkenes
  12. 12The structure of D - + - g l u c o s e is The structure of L - - - g l u c o s e is2015 (Paper 1)Carbohydrates
  13. 13The major product of the reaction is2015 (Paper 1)Preparation and Properties of Amines
  14. 14The correct statement(s) about C r 2 + and M n 3 + is (are) [Atomic number of Cr = 24 and Mn = 25]2015 (Paper 1)Properties of D-block elements
  15. 15Copper is purified by electrolytic refining of blister copper. The correct statement(s) about this process is (are)2015 (Paper 1)Extraction of Metals
  16. 16F e 3 + is reduced to F e 2 + by using2015 (Paper 1)Oxidation and Reduction Reactions
  17. 17The % yield of ammonia as a function of time in the reaction N 2 g + 3 H 2 g ⇌ 2 N H 3 g , Δ H 0 at ( P , T 1 ) is given below. If this reac2015 (Paper 1)Quantitative measures in chemical equations
  18. 18If the unit cell of a mineral has cubic close packed (ccp) array of oxygen atoms with m fraction of octahedral holes occupied by aluminium i2015 (Paper 1)Cubic system
  19. 19Match the anionic species given in Column I that are present in the ores(s) given in Column II. Column I Column II A. Carbonate P. Siderite 2015 (Paper 1)Minerals and ores
  20. 20Match the thermodynamic processes given under Column I with the expressions given under Column II. Column I Column II A. Freezing of water a2015 (Paper 1)Entropy and Second law of thermodynamics

Mathematics

  1. 1The number of distinct solutions of the equation 5 4 cos 2 2 x + cos 4 x + sin 4 x + cos 6 x + sin 6 x = 2 in the interval [ 0 , 2 ] is2015 (Paper 1)Solving Trigonometric Equation
  2. 2Let the curve C be the mirror image of the parabola y 2 = 4 x with respect to the line x + y + 4 = 0 . If A and B are the points of intersec2015 (Paper 1)Basic Forms of Straight Line
  3. 3The minimum number of times a fair coin needs to be tossed so that the probability of getting at least two heads is at least 0 . 96 , is2015 (Paper 1)Bernoulli Trial and Binomial Distribution
  4. 4Let n be the number of ways in which 5 boys and 5 girls can stand in a queue in such a way that all the girls stand consecutively in the que2015 (Paper 1)Arrangement under Constraint
  5. 5If the normal of the parabola y 2 = 4 x drawn at the end points of its latus rectum are tangents to the circle x - 3 2 + y + 2 2 = r 2 , the2015 (Paper 1)Normal to Parabola
  6. 6Let f : R R be a function defined by f x = x , x 2 0 , x 2 , where [ x ] is the greatest integer less than or equal to x . If I = - 1 2 x f 2015 (Paper 1)Properties of Definite Integration
  7. 7A cylindrical container is to be made from certain solid material with the following constraints: It has a fixed inner volume of V m m 3 , h2015 (Paper 1)Maxima Minima
  8. 8Let F x = x x 2 + 6 2 cos 2 t d t for all x R a n d f : 0 , 1 2 0 , be a continuous function. For a 0 , 1 2 , if F a + 2 is the area of the 2015 (Paper 1)Leibnitz Rule of Differentiation
  9. 9Let X a n d Y be two arbitrary, 3 3 , non - zero, skew - symmetric matrices and Z be an arbitrary 3 3 , non - zero, symmetric matrix. Then w2015 (Paper 1)Symmetric & Skew Symmetric Matrices
  10. 10Which of the following values of satisfy the equation 1 + 2 1 + 2 2 1 + 3 2 2 + 2 2 + 2 2 2 + 3 2 3 + 2 3 + 2 2 3 + 3 2 = - 648 ?2015 (Paper 1)Expansion of Determinants
  11. 11In R 3 , consider the planes P 1 : y = 0 and P 2 : x + z = 1 . Let P 3 , be a plane, different from P 1 and P 2 , which passes through the i2015 (Paper 1)Plane in Space
  12. 12In R 3 , let L be a straight line passing through the origin. Suppose that all the points on L are at a constant distance from the two plane2015 (Paper 1)Plane in Space
  13. 13Let P and Q be distinct points on the parabola y 2 = 2 x such that a circle with P Q as diameter passes through the vertex O of the parabola2015 (Paper 1)Chord of parabola
  14. 14Let y ( x ) be a solution of the differential equation 1 + e x y + y e x = 1 . If y 0 = 2 , then which of the following statements is (are) 2015 (Paper 1)Linear Differential Equation
  15. 15Consider the family of all circles whose centers lie on the straight line y = x . If this family of circles is represented by the differenti2015 (Paper 1)Formation of Differential Equation
  16. 16Let g : R R be a differentiable function with g 0 = 0 , g 0 = 0 and g 1 0 . Let f x = x | x | g x , x 0 0 , x = 0 and h x = e | x | for all 2015 (Paper 1)Differentiability
  17. 17Let f x = sin 6 sin 2 sin x , for all x R and g x = 2 sin x , for all x R . Let f o g x denote f g x and g o f x denote g f x . Then which o2015 (Paper 1)Range
  18. 18Let P Q R be a triangle. Let a = Q R , b = R P a n d c = P Q . If a = 12 , b = 4 3 and b c = 24 , then which of the following is (are) true 2015 (Paper 1)Product of 2 vectors
  19. 19Column I Column II A In a triangle X Y Z let a , b and c be the lengths of the angles X , Y and Z , respectively. If 2 a 2 b 2 = c 2 and = s2015 (Paper 1)Cosine Rule and Projection Formula
  20. 20Column I Column II ( A ) In R 2 , if the magnitude of the projection vector of the vector i ^ + j ^ on 3 i ^ + j ^ is 3 and if = 2 + 3 , the2015 (Paper 1)Means

Physics

  1. 1An infinitely long uniform line charge distribution of charge per unit length λ lies parallel to the y -axis in the y - z plane at z = 3 2 α2015 (Paper 1)Electric Flux and Gauss Law
  2. 2Consider a hydrogen atom with its electron in the n t h orbital. An electromagnetic radiation of wavelength 90 nm is used to ionize the atom2015 (Paper 1)Photoelectric Effect
  3. 3A bullet is fired vertically upwards with velocity from the surface of a spherical planet. When it reaches its maximum height, its accelerat2015 (Paper 1)Gravitational potential and Potential Energy
  4. 4Two identical uniform discs roll without slipping on two different surfaces A B and C D (see figure) starting at A and C with linear speeds 2015 (Paper 1)Rotational kinematics
  5. 5Two spherical stars A and B emit blackbody radiation. The radius of A is 400 times that of B and A emits 10 4 times the power emitted from B2015 (Paper 1)Radiation
  6. 6A nuclear power plant supplying electrical power to a village uses a radioactive material of half life T years as the fuel. The amount of fu2015 (Paper 1)Radioactivity
  7. 7A Young's double slit interference arrangement with slits S 1 and S 2 is immersed in water (refractive index = 4 3 ) as shown in the figure.2015 (Paper 1)Youngs Double Slit Experiment
  8. 8Consider a concave mirror and a convex lens (refractive index = 1 . 5 ) of focal length 10 cm each, separated by a distance of 50 cm in air 2015 (Paper 1)Lens Formula, Refraction of light from curved surface
  9. 9Consider a Vernier callipers in which each 1 cm on the main scale is divided into 8 equal divisions and a screw gauge with 100 divisions on 2015 (Paper 1)Experimental Physics
  10. 10Planck constant h , speed of light c and gravitational constant G are used to form a unit of length L and a unit of mass M . Then the correc2015 (Paper 1)Dimensions
  11. 11Two independent harmonic oscillators of equal mass are oscillating about the origin with angular frequencies ω 1 and ω 2 and have total ener2015 (Paper 1)Energy of Simple Harmonic Motion
  12. 12A ring of mass M and radius R is rotating with angular speed ω about a fixed vertical axis passing through its centre O with two point masse2015 (Paper 1)Angular momentum and Angular impulse
  13. 13The figures below depict two situations in which two infinitely long static line charges of constant positive line charge density λ are kept2015 (Paper 1)Electric Charge and Coulomb's law
  14. 14Two identical glass rods S 1 and S 2 (refractive index = 1.5) have one convex end of radius of curvature 10 cm. They are placed with the cur2015 (Paper 1)Lens Formula, Refraction of light from curved surface
  15. 15A Conductor (shown in the figure) carrying constant current I is kept in the x - y plane in a uniform magnetic field B → . If F is the magni2015 (Paper 1)Force and Torque on Current Carrying Conductor
  16. 16A container of fixed volume has a mixture of one mole of hydrogen and one mole of helium in equilibrium at temperature T . Assuming the gase2015 (Paper 1)Speed of Gas
  17. 17In an aluminum (Al) bar of square cross section, a square hole is drilled and is filled with iron (Fe) as shown in the figure. The electrica2015 (Paper 1)Resistance and Resistivity
  18. 18For photo-electric effect with incident photon wavelength , the stopping potential is V 0 . Identify the correct variation(s) of V 0 with an2015 (Paper 1)Photoelectric Effect
  19. 19Match the nuclear processes given in column I with the appropriate option(s) in column II. Column I Column II A. Nuclear fusion P Absorption2015 (Paper 1)Nuclear reactions
  20. 20A particle of unit mass is moving along the x-axis under the influence of a force and its total energy is conserved. Four possible forms of 2015 (Paper 1)Energy

Frequently Asked Questions

1.How many questions are in the JEE Advanced 2015 Paper 1 paper?

This paper has 60 questions in total - 20 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.Where can I find the Paper 2 paper for the same year?

The JEE Advanced 2015 Paper 2 paper is listed separately - you can switch to it from the "JEE Advanced Paper Wise PYQs" panel, under JEE Advanced 2015.

4.What is the structure of the JEE Advanced 2015 Paper 1 paper?

The JEE Advanced 2015 Paper 1 paper on MARKS has 60 questions, organised by subject:

  • Chemistry: 20 questions - 2 single-correct, 10 multiple-correct, and 8 numerical-value.
  • Mathematics: 20 questions - 2 single-correct, 10 multiple-correct, and 8 numerical-value.
  • Physics: 20 questions - 2 single-correct, 10 multiple-correct, and 8 numerical-value.
5.What is the difficulty level of the JEE Advanced 2015 Paper 1 paper?

Each question on MARKS carries a difficulty rating. Of the 60 rated questions in this paper, 15 (25%) are easy, 34 (57%) are medium and 11 (18%) are hard. Subject wise:

  • Chemistry: 5 easy, 11 medium, 4 hard
  • Mathematics: 4 easy, 13 medium, 3 hard
  • Physics: 6 easy, 10 medium, 4 hard
6.Which chapters had the most questions in the JEE Advanced 2015 Paper 1 paper?

The chapters with the most questions in each subject were:

  • Chemistry: General Organic Chemistry (3) and General Principles and Processes of Isolation of Metals (2).
  • Mathematics: Definite Integration (2), Differential Equations (2), and Parabola (2).
  • Physics: Dual Nature of Matter (2), Electrostatics (2), and Nuclear Physics (2).
7.Where can I find the solutions for the JEE Advanced 2015 Paper 1 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 Advanced 2015 Paper 1 paper to check my preparation?

Set a timer, attempt the 60 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 Advanced. Repeating this with other papers shows whether the same weak spots keep coming back.

9.Will the JEE Advanced 2015 Paper 1 paper help me prepare for JEE Advanced 2027?

Yes. Every past paper shows the question styles and topics JEE Advanced 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.