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JEE Main 2018 15th April

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Main 2018 15th 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%), 45 moderate (50%) and 19 tough (21%). That's a fairly typical mix for this exam. By subject: Physics 27% easy, 47% moderate, 27% tough; Chemistry 37% easy, 57% moderate, 7% tough; Mathematics 23% easy, 47% moderate, 30% tough.

Chemistry questions were spread across 20 chapters, with Chemical Bonding and Molecular Structure (5), Aldehydes and Ketones (2), and Biomolecules (2) carrying the most weight. Mathematics questions were spread across 26 chapters, with Determinants (2), Quadratic Equation (2), and Sequences and Series (2) carrying the most weight. Physics questions were spread across 24 chapters, with Current Electricity (2), Gravitation (2), and Motion In One Dimension (2) carrying the most weight.

Chemistry

  1. 1Which of the following will not exist in Zwitterionic form at pH = 7 ?15 Apr, 2018Properties and Preparation of Amino Acids
  2. 2A sample of NaClO 3 is converted by heat to NaCl with a loss of 0 . 16 g of oxygen. The residue is dissolved in water and precipitated as Ag15 Apr, 2018Mole concept
  3. 3For which of the following reactions, H is equal to U ?15 Apr, 2018First Law and Basic Fundamentals of Thermodynamics
  4. 4N 2 O 5 decomposes to NO 2 and O 2 follows the first order kinetics. After 50 minutes, the pressure inside the vessel increases from 50 mm H15 Apr, 2018Integrated rate laws
  5. 5In the molecular orbital diagram for the molecular ion N 2 + , the number of electrons in the 2 p molecular orbital is15 Apr, 2018Molecular Orbital Theory
  6. 6Which of the following will most readily give the dehydrohalogenation product?15 Apr, 2018Preparation and Properties of Monohalides
  7. 7Identify the pair in which the geometry of the species is T-shaped and square-pyramidal, respectively,15 Apr, 2018Hybridisation and VSEPR Theory
  8. 8The major product of the following reaction is:15 Apr, 2018Preparation and Properties of Alcohols
  9. 9In the above compound, the bond orders of bonds I and II are:15 Apr, 2018Molecular Orbital Theory
  10. 10For Na + , Mg 2 + , F - and O 2 - , the correct order of increasing ionic radii is:15 Apr, 2018Modern periodic table
  11. 11The increasing order of nitration in the acidic medium of the following compounds is:15 Apr, 2018Reactions of aromatic compounds
  12. 12The correct match between items of List-I and List-II is List - I List - II (A) Coloured impurity (P) Steam distillation (B) Mixture of o – 15 Apr, 2018Purification of Organic Compounds
  13. 13The copolymer formed by addition polymerization of styrene and acrylonitrile in the presence of peroxide is15 Apr, 2018Classification of Polymers
  14. 14Which of the following is a Lewis acid?15 Apr, 2018Theories of Acids and Bases
  15. 15Which of the following statements about colloids is false?15 Apr, 2018Colloids
  16. 16Which of the following is the correct structure of adenosine?15 Apr, 2018Nucleic Acids
  17. 17The correct combination is15 Apr, 2018Werner's theory and Valence Bond Theory
  18. 18The IUPAC name of the following compound is15 Apr, 2018IUPAC Nomenclature
  19. 19An ideal gas undergoes a cyclic process as shown in the figure U BC = - 5 KJmol - 1 , q AB = 2 KJmol - 1 W AB = - 5 KJmol - 1 , W CA = 3 KJm15 Apr, 2018First Law and Basic Fundamentals of Thermodynamics
  20. 20Ejection of the photoelectron from metal in the photoelectric effect experiment can be stopped by applying 0 . 5 V , when the radiation of 215 Apr, 2018Dual Behaviour of Matter and Heisenberg Uncertainty Principle
  21. 21In graphite and diamond, the percentage of p-characters of the hybrid orbitals in hybridization respectively, are15 Apr, 2018Hybridisation and VSEPR Theory
  22. 22When an electric current is passed through acidified water, 112 mL of hydrogen gas at N.T.P was collected at the cathode in 965 seconds. The15 Apr, 2018Cells and Electrode Potential, Nernst Equation
  23. 23The minimum volume of water required to dissolve 0.1 g lead (II) chloride to get a saturated solution ( K s p of P b C l 2 = 3.2 10 - 8 ;ato15 Apr, 2018Solubility
  24. 24In which of the following reactions, an increase in the volume of the container will favour the formation of products?15 Apr, 2018Le chatelier's principle
  25. 25The decreasing order of bond angles in BF 3 , NH 3 , PF 3 and I 3 - is:15 Apr, 2018Hybridisation and VSEPR Theory
  26. 26Which of the following arrangements shows the schematic alignment of magnetic moments of antiferromagnetic substance?15 Apr, 2018Electrical and Magnetic properties
  27. 27The reagent(s) required for the following conversion are:15 Apr, 2018Method of preparation for both aldehydes and ketones
  28. 28The main reduction product of the following compound with NaBH 4 in methanol is:15 Apr, 2018Chemical reactions for aldehydes and ketones
  29. 29Xenon hexafluoride on partial hydrolysis produces compounds X and Y and the respective oxidation states of Xe are:15 Apr, 2018Noble Gases
  30. 30A white sodium salt dissolves readily in water to give a solution which is neutral to litmus. When silver nitrate solution is added to the b15 Apr, 2018Halogens and Its Compounds

Mathematics

  1. 1An aeroplane flying at a constant speed, parallel to the horizontal ground, 3 km above it is observed at an elevation of 60 from a point on 15 Apr, 2018Heights and Distances
  2. 2A box A contains 2 white, 3 red and 2 black balls. Another box B contains 4 white, 2 red and 3 black balls. If two balls are drawn at random15 Apr, 2018Baye's Theorem
  3. 3If a right circular cone, having maximum volume, is inscribed in a sphere of radius 3 c m , then the curved surface area (in cm 2 ) of this 15 Apr, 2018Maxima Minima
  4. 4If is one of the angles between the normals to the ellipse x 2 + 3 y 2 = 9 at the points 3 cos , 3 sin and - 3 sin , 3 cos ; 0 , 2 ; then 2 15 Apr, 2018Equation of Ellipse
  5. 5If f x - 4 x + 2 = 2 x + 1 , x R - 1 , - 2 , then f x d x is equal to15 Apr, 2018Miscellaneous Forms
  6. 6If R is such that the sum of the cubes of the roots of the equation x 2 + 2 - x + 10 - = 0 is minimum, then the magnitude of the difference 15 Apr, 2018Relation between Roots and Coefficients
  7. 7Two parabolas with a common vertex and with axes along the x -axis and y -axis respectively, intersect each other in the first quadrant. If 15 Apr, 2018standard equation of parabola
  8. 8If f x = cos x x 1 2 sin x x 2 2 x tan x x 1 , then lim x 0 f x x15 Apr, 2018Differentiation and Integration of Determinants
  9. 9The value of the integral - 2 2 sin 4 x 1 + ln 2 + sin x 2 - sin x d x is15 Apr, 2018Properties of Definite Integration
  10. 10n -digit numbers are formed using only three digits 2 , 5 and 7 . The smallest value of n for which 900 such distinct numbers can be formed 15 Apr, 2018Combination
  11. 11If the tangent drawn to the hyperbola 4 y 2 = x 2 + 1 intersect the co-ordinates axes at the distinct points A and B , then the locus of the15 Apr, 2018Tangent to hyperbola
  12. 12If tan A and tan B are the roots of the quadratic equation 3 x 2 - 10 x - 25 = 0 , then the value of 3 sin 2 A + B - 10 sin A + B cos A + B 15 Apr, 2018Relation between Roots and Coefficients
  13. 13Let y = y x be the solution of the differential equation d y d x + 2 y = f x , where f x = 1 , x 0 , 1 0 , o t h e r w i s e . If y ( 0 ) = 15 Apr, 2018Variable Separable Form
  14. 14If b is the first term of an infinite geometric progression whose sum is five, then b lies in the interval15 Apr, 2018Geometric Progression
  15. 15Consider the following two binary relations on the set A = a , b , c : R 1 = c , a , b , b , a , c , c , c , b , c , a , a and R 2 = a , b ,15 Apr, 2018Questions on Symmetric Transitive and Reflexive Properties
  16. 16A circle passes through the points 2 , 3 and 4 , 5 . If its centre lies on the line y - 4 x + 3 = 0 , then its radius is equal to :15 Apr, 2018line and circle
  17. 17In a triangle A B C , coordinates of A are 1 , 2 and the equations of the medians through B and C are respectively, x + y = 5 and x = 4 . Th15 Apr, 2018Sine Rule and its application
  18. 18The set of all R , for which w = 1 + 1 - 8 z 1 - z is a purely imaginary number, for all z C satisfying z = 1 and R e z 1 , is :15 Apr, 2018Algebra of complex numbers
  19. 19If x 1 , x 2 , . . , x n and 1 h 1 , 1 h 2 , . . , 1 h n are two A.P.s such that x 3 = h 2 = 8 x 8 = h 7 = 20 , then x 5 h 10 is equal to15 Apr, 2018Arithmetic Progression
  20. 20If a , b , c are unit vectors such that a + 2 b + 2 c = 0 , then a c is equal to :15 Apr, 2018Product of 2 vectors
  21. 21A variable plane passes through a fixed point 3 , 2 , 1 and meets x , y and z -axes at A , B C respectively. A plane is drawn parallel to th15 Apr, 2018Plane in Space
  22. 22Let A be a matrix such that A 1 2 0 3 is a scalar matrix and 3 A = 108 . Then, A 2 equals :15 Apr, 2018Product of Matrices
  23. 23The area (in sq. units) of the region { x R : x 0 , y 0 , y x - 2 and y x } is15 Apr, 2018Area bounded by two curves
  24. 24If x 2 + y 2 + sin y = 4 , then the value of d 2 y d x 2 at the point - 2 , 0 is :15 Apr, 2018Differentiation of implicit functions
  25. 25An angle between the plane x + y + z = 5 and the line of intersection of the planes, 3 x + 4 y + z - 1 = 0 and 5 x + 8 y + 2 z + 14 = 0 is15 Apr, 2018Plane in Space
  26. 26Let S = { , R R : f t = e t - sin 2 t , t R is a differential function}. Then, S is a subset of :15 Apr, 2018Differentiability
  27. 27Let S be the set of all real values of k for which the system of linear equations x + y + z = 2 2 x + y - z = 3 3 x + 2 y + k z = 4 has a un15 Apr, 2018System of Linear Equations
  28. 28If n is the degree of the polynomial, 2 5 x 3 + 1 - 5 x 3 - 1 8 + 2 5 x 3 + 1 + 5 x 3 - 1 8 and m is the coefficient of x n in it, then the 15 Apr, 2018Terms of Binomial Expansion
  29. 29The mean of a set of 30 observation is 75 . If each observations is multiplied by non-zero number and then each of them is decreased by 25 ,15 Apr, 2018Mean
  30. 30If p ~ q p r ~ p q is false, then the truth values of p , q and r are respectively15 Apr, 2018Mathematical Reasoning

Physics

  1. 1The equivalent capacitance between A and B in the circuit is given below.15 Apr, 2018Grouping of capacitors
  2. 2A charge Q is placed at a distance a 2 above the centre of a square surface of side length a . The electric flux through the square surface 15 Apr, 2018Electric Flux and Gauss Law
  3. 3A uniform rod A B is suspended from a point X , at a variable distance x from A , as shown. To make the rod horizontal, a mass m is suspende15 Apr, 2018Torque
  4. 4The energy required to remove the electron from a singly ionized Helium atom is 2 . 2 times the energy required to remove an electron from h15 Apr, 2018Bohr's Atomic Model
  5. 5A solution containing active cobalt Co 27 60 having an activity of 0 .8 μCi and decay constant λ is injected in an animal's body. When 1 c m15 Apr, 2018Radioactivity
  6. 6In a common emitter configuration with suitable bias, it is given that R L is the load resistance and R B E is small-signal dynamic resistan15 Apr, 2018Junction Transistors
  7. 7A body of mass m is moving in a circular orbit of radius R about a planet of mass M . At some instant, it splits into two equal masses. The 15 Apr, 2018Gravitational potential and Potential Energy
  8. 8A Helmholtz coil has a pair of loops, each with N turns and radius R . They are placed coaxially at distance R and the same current I flows 15 Apr, 2018Magnetic Field
  9. 9A thin uniform tube is bent into a circle of radius r in the vertical plane. Equal volumes of two immiscible liquids, Whose densities are 1 15 Apr, 2018Pressure and thrust
  10. 10The velocity time graphs of a car and a scooter are shown in the figure. (i) The difference between the distance travelled by the car and th15 Apr, 2018Graphs of motion in one dimension
  11. 11A monochromatic beam of light has a frequency v = 3 2 10 12 Hz and is propagating along the direction i ^ + j ^ 2 . It is polarized along th15 Apr, 2018Electromagnetic Waves and Maxwell's equations
  12. 12Take the mean distance of the moon and the sun from the earth to be 0.4 10 6 km and 150 10 6 km , respectively. Their masses are 8 10 22 kg 15 Apr, 2018Acceleration Due to Gravity
  13. 13A plano-convex lens becomes an optical system of 28 cm focal length when its plane surface is silvered and illuminated from left to right as15 Apr, 2018Lens Formula, Refraction of light from curved surface
  14. 14One mole of an ideal monatomic gas is compressed isothermally in a rigid vessel to double its pressure at room temperature, 27 o C . The mag15 Apr, 2018Thermodynamic Processes
  15. 15An automobile, traveling at 40 km h - 1 , can be stopped at a distance of 40 m by applying brakes. If the same automobile is traveling at 8015 Apr, 2018Uniform Motion
  16. 16A Carnot s engine works like a refrigerator between 250 K and 300 K . It receives 500 cal heat from the reservoir at a lower temperature. Th15 Apr, 2018Heat Engine, Refrigerator and Second Law of Thermodynamics
  17. 17In a screw gauge, 5 complete rotations of the screw cause it to move a linear distance of 0 . 25 cm . There are 100 circular scale divisions15 Apr, 2018Experimental Physics
  18. 18The number of amplitude-modulated broadcast stations that can be accommodated in a 300 kHz bandwidth for the highest modulating frequency 1515 Apr, 2018Modulation
  19. 19An ideal capacitor of capacitance 0 .2 F is charged to a potential difference of 10 V . The charging battery is then disconnected. The capac15 Apr, 2018AC Circuits
  20. 20Light of wavelength 550 nm falls normally on a slit of width 22.0 10 - 5 cm . The angular position of the second minima from the central max15 Apr, 2018Youngs Double Slit Experiment
  21. 21A force of 40 N acts on a point B at the end of an L-shaped object as shown in the figure. The angle that will produce the maximum moment of15 Apr, 2018Torque
  22. 22A tuning fork vibrates with frequency 256 Hz and gives one beat per second with the third normal mode of vibration of an open pipe. What is 15 Apr, 2018Organ Pipe (Vibration of Air Column)
  23. 23A body of mass M and charge q is connected to a spring of spring constant k . It is oscillating along x -direction about its equilibrium pos15 Apr, 2018Energy of Simple Harmonic Motion
  24. 24A given object takes n times more time to slide down a 45 o rough inclined plane as it takes to slide down a perfectly smooth 45 o incline. 15 Apr, 2018Frictional force
  25. 25The relative error in the determination of the surface area of a sphere is α . The relative error in the determination of its volume is15 Apr, 2018Errors of Measurement
  26. 26In a meter bridge as shown in the figure, it is given that resistance Y = 12.5 and that the balance is obtained at a distance 39 . 5 cm from15 Apr, 2018Wheatstone Bridge
  27. 27The B - H curve for a ferromagnet is shown in the figure. The ferromagnet is placed inside a long solenoid with 1000 turns cm - 1 . The curr15 Apr, 2018Magnetic Materials and their Properties
  28. 28In the given circuit all resistance is of the value of R ohm each. The equivalent resistance between A and B is:15 Apr, 2018Combination of Resistances
  29. 29A particle is oscillating on the x -axis with an amplitude 2 cm about the point x 0 = 10 cm with a frequency. A concave mirror of focal leng15 Apr, 2018Mirror Formula, Reflection in Spherical Mirror
  30. 30Two electrons are moving with non-relativistic speeds perpendicular to each other. If corresponding de brogile wavelengths are 1 and 2 , the15 Apr, 2018Matter Waves

Frequently Asked Questions

1.How many questions are in the JEE Main 2018 15th 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 2018 15th April paper?

The JEE Main 2018 15th 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 2018 15th April paper?

Each question on MARKS carries a difficulty rating. Of the 90 rated questions in this paper, 26 (29%) are easy, 45 (50%) are medium and 19 (21%) are hard. Subject wise:

  • Chemistry: 11 easy, 17 medium, 2 hard
  • Mathematics: 7 easy, 14 medium, 9 hard
  • Physics: 8 easy, 14 medium, 8 hard
5.Which chapters had the most questions in the JEE Main 2018 15th April paper?

The chapters with the most questions in each subject were:

  • Chemistry: Chemical Bonding and Molecular Structure (5), Aldehydes and Ketones (2), and Biomolecules (2).
  • Mathematics: Determinants (2), Quadratic Equation (2), and Sequences and Series (2).
  • Physics: Current Electricity (2), Gravitation (2), and Motion In One Dimension (2).
6.Are there any out-of-syllabus questions in the JEE Main 2018 15th April paper?

Yes. 17 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 2018 15th 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 2018 15th 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 2018 15th 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.