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MHTCET 2021 22nd September Evening Shift

Browse the complete Chemistry, Mathematics, and Physics question set from the MHTCET 2021 22nd September Evening Shift 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 shift as a PDF.

This paper has 150 questions in total - 55 easy (37%), 73 moderate (49%) and 22 tough (15%). That's a fairly typical mix for this exam. By subject: Physics 46% easy, 40% moderate, 14% tough; Chemistry 30% easy, 58% moderate, 12% tough; Mathematics 34% easy, 48% moderate, 18% tough.

Chemistry questions were spread across 24 chapters, with Electrochemistry (4), Alcohols Phenols and Ethers (3), and Chemical Kinetics (3) carrying the most weight. Mathematics questions were spread across 24 chapters, with Application of Derivatives (4), Differential Equations (4), and Indefinite Integration (4) carrying the most weight. Physics questions were spread across 23 chapters, with Alternating Current (5), Waves and Sound (4), and Dual Nature of Matter (3) carrying the most weight.

Chemistry

  1. 1The volume of a gas at is . What is its volume if temperature is decreased by ?22 Sep, 2021 (E)Gas laws and Ideal Gas Equation
  2. 2Identify lowest positive charge developed (indicated by ) due to inductive effect in following compounds.22 Sep, 2021 (E)Electron displacement effects
  3. 3Which of the following is likely to undergo racemization during alkaline hydrolysis?22 Sep, 2021 (E)Preparation and Properties of Alcohols
  4. 4Solubility product of is . What is its solubility?22 Sep, 2021 (E)Solubility
  5. 5What is Henry's law constant if solubility of a gas in water at and 1 bar pressure is22 Sep, 2021 (E)Henry's law
  6. 6How many tetrahedral voids are present in 0.4 mole of a compound that forms hcp structure?22 Sep, 2021 (E)Cubic system
  7. 7Which of the following is NOT a correct mathematical equation for Ostwald dilution law?22 Sep, 2021 (E)Theories of Acids and Bases
  8. 8Identify use of argon from following.22 Sep, 2021 (E)Noble Gases
  9. 9Identify the compound having non-zero dipole moment22 Sep, 2021 (E)Dipole moment
  10. 10Conversion of benzene diazonium chloride to chlorobenzene in presence of is known as22 Sep, 2021 (E)Preparation and Properties of Aryl Halides
  11. 11Buna-S is obtained from22 Sep, 2021 (E)Preparation and Properties of Polymers
  12. 12Identify the polymer used in making floor tiles.22 Sep, 2021 (E)Preparation and Properties of Polymers
  13. 13Identify the type of unit cell that has particles at the centre of each face in addition to the particles at eight corners of a cube?22 Sep, 2021 (E)Cubic system
  14. 14Identify the product ' ' in following reaction.22 Sep, 2021 (E)Chemical reactions for aldehydes and ketones
  15. 15What is the difference between and for reaction given below at ?22 Sep, 2021 (E)Laws of Thermochemistry and Enthalpy Change
  16. 16Which among the following is a double ring containing nitrogen base present in nucleic acids?22 Sep, 2021 (E)Properties and Preparation of Amino Acids
  17. 17How many atoms of niobium are present in if it forms bcc structure with density and volume of unit cell22 Sep, 2021 (E)Cubic system
  18. 18Electrical conductance due to all the ions in of given solution is called as22 Sep, 2021 (E)Conductance and Conductivity
  19. 19Formation of from and is an endothermic process. Which of the following is true for this reaction?22 Sep, 2021 (E)Laws of Thermochemistry and Enthalpy Change
  20. 20The major product obtained in the following reaction is22 Sep, 2021 (E)Reactions of alkenes
  21. 21Identify compound from following having highest basic strength.22 Sep, 2021 (E)Electron displacement effects
  22. 22The major product obtained in the following reaction is Chlorobenzene + chlorine product (Major)22 Sep, 2021 (E)Preparation and Properties of Monohalides
  23. 23Which is rate constant of a first order reaction if 0.08 mole of reactant reduces to 0.02 mole in 23.03 minute?22 Sep, 2021 (E)Integrated rate laws
  24. 24What is enthalpy of formation of if bond enthalpies are as ?22 Sep, 2021 (E)Laws of Thermochemistry and Enthalpy Change
  25. 25Which element from following is radioactive?22 Sep, 2021 (E)Properties of D-block elements
  26. 26A weak monobasic acid is dissociated in solution. What is its percentage dissociation in solution?22 Sep, 2021 (E)Law of Mass Action, Equilibrium Constant (Kc and Kp) and its Application
  27. 27Which among following functional groups exhibits effect?22 Sep, 2021 (E)Conjugation and Aromaticity
  28. 28Ethers when dissolved in cold concentrated sulphuric acid forms22 Sep, 2021 (E)Reactions of Ethers
  29. 29How many Faraday of electricity is required to deposit of calcium at cathode by the electrolysis of ?22 Sep, 2021 (E)Cells and Electrode Potential, Nernst Equation
  30. 30Which of the following is an example of copolymer22 Sep, 2021 (E)Preparation and Properties of Polymers
  31. 31Identify homoleptic complex from following22 Sep, 2021 (E)Terminology of coordination compounds
  32. 32Which among the following compounds is NOT a colourless gas?22 Sep, 2021 (E)Halogens and Its Compounds
  33. 33sucrose (molar mass ) is dissolved in of solvent, decreases the freezing point by . What is cryoscopic constant of solvent?22 Sep, 2021 (E)Colligative Properties and Abnormal Molecular Masses
  34. 34Which of the following formulae is used to obtain depression in freezing point?22 Sep, 2021 (E)Colligative Properties and Abnormal Molecular Masses
  35. 35Identify product ' ' in following reaction.22 Sep, 2021 (E)Preparation and Properties of Carboxylic Acids
  36. 36Identify the correct decreasing order of precipitation power of flocculating ion added, from following.22 Sep, 2021 (E)Properties of colloidal solution
  37. 37What is the energy of an electron in stationary state corresponding to ?22 Sep, 2021 (E)Bohr's model
  38. 38Identify the product ' ' in the following series of reactions. Propan-1-ol22 Sep, 2021 (E)Properties and Preparation of Alkenes
  39. 39Identify the reagent used in following conversion. Glucose -hexane22 Sep, 2021 (E)Preparation and Reactions of Glucose
  40. 40For the reaction , what is the relation between and ?22 Sep, 2021 (E)Rate of reaction
  41. 41Identify reducing agent in following reaction22 Sep, 2021 (E)Oxidation and Reduction Reactions
  42. 42Which of the following statement is NOT true for a reaction having rate law ?22 Sep, 2021 (E)Rate law and rate constant
  43. 43Which of the following alkenes on oxidation by in dil. forms adipic acid?22 Sep, 2021 (E)Preparation and Properties of Carboxylic Acids
  44. 44How many moles of urea are present in ? (Molar mass )22 Sep, 2021 (E)Mole concept
  45. 45Which element from following lanthanoids has half-filled f-orbital in observed and expected electronic configuration?22 Sep, 2021 (E)Properties of D-block elements
  46. 46Which of the following alkyl halide is treated with sodium metal to obtain 2, 2, 3, 3 - tetramethyl butane?22 Sep, 2021 (E)Properties and Preparation of Alkanes
  47. 47Which among the following statements about is NOT true?22 Sep, 2021 (E)Terminology of coordination compounds
  48. 48What is the conductivity of solution if cell constant is with resistance ?22 Sep, 2021 (E)Conductance and Conductivity
  49. 49Which among the following compounds has highest melting point?22 Sep, 2021 (E)Preparation and Properties of Alcohols
  50. 50Pure dihydrogen (99.5\%) is obtained by the electrolysis of22 Sep, 2021 (E)Cells and Electrode Potential, Nernst Equation

Mathematics

  1. 1The area of triangle with vertices and is sq. units, then the values of ' ' are22 Sep, 2021 (E)Product of 2 vectors
  2. 2First bag contains 3 red and 5 black balls and second bag contains 6 red and 4 black balls. A ball is drawn from each bag. The probability t22 Sep, 2021 (E)Total Probability
  3. 3Given p: A man is a judge, q: A man is honest If : If a man is a judge, then he is honest S2: If a man is a judge, then he is not honest S3:22 Sep, 2021 (E)Mathematical Reasoning
  4. 4Following data shows the information about marks obtained in Physics, Chemistry, Mathematics and Biology by 100 students in a class. Then su22 Sep, 2021 (E)Mean Square Deviation
  5. 5If the line joining two points and is rotated about in anticlockwise direction through an angle of , then the equation of the line in new po22 Sep, 2021 (E)Derived Forms of Line
  6. 6If , where is greatest integer function of , then22 Sep, 2021 (E)Functional Equation
  7. 7The numbers can be formed using the digit so that odd digits always occupy odd places in ways.22 Sep, 2021 (E)Arrangement under Constraint
  8. 8The general solution of is22 Sep, 2021 (E)Homogeneous DE
  9. 9If the mean and variance of a binomial distribution are 4 and 2 respectively, then probability of getting 2 heads is22 Sep, 2021 (E)Bernoulli Trial and Binomial Distribution
  10. 10Preview not available - open to view this question.22 Sep, 2021 (E)Integration by Parts
  11. 11The distribution function of discrete random variable is given by Then22 Sep, 2021 (E)Random Variable and its Probability Distribution
  12. 12A fair coin is tossed 4 times. If a random variable which indicates number of heads, then22 Sep, 2021 (E)Definite Integration by Substitution
  13. 13Preview not available - open to view this question.22 Sep, 2021 (E)Properties of Definite Integration
  14. 14In , with usual notations22 Sep, 2021 (E)Sine Rule and its application
  15. 15The common region of the solution of the inequations , is22 Sep, 2021 (E)Linear Programming
  16. 16, then22 Sep, 2021 (E)Definite Integration by Substitution
  17. 17The particular solution of the differential equation , when and is22 Sep, 2021 (E)Variable Separable Form
  18. 18The area bounded by the parabola and the line in the first quadrant is22 Sep, 2021 (E)Area bounded by two curves
  19. 19Preview not available - open to view this question.22 Sep, 2021 (E)Integration by Substitution
  20. 20The degree of the differential equation whose solution is , is22 Sep, 2021 (E)Order and Degree
  21. 21A spherical raindrop evaporates at a rate proportional to its surface area. If its radius originally is . and 1 hour later has been reduced 22 Sep, 2021 (E)Rate Measure Error and Approximation
  22. 22If is the complex cube root of unity, the22 Sep, 2021 (E)Cube Root of Unity
  23. 23The statement pattern is equivalent to22 Sep, 2021 (E)Mathematical Reasoning
  24. 24If has minima at whose value is 5 , then the values of and are respectively.22 Sep, 2021 (E)Maxima Minima
  25. 25The vector equation of the line whose Cartesian equations are and is22 Sep, 2021 (E)Algebra of Vectors
  26. 26If is the centroid of the triangle whose vertices are and , then the value of are22 Sep, 2021 (E)Coordinate System
  27. 27For an invertible matrix , if , then22 Sep, 2021 (E)Adjoint and its Properties
  28. 28If lines represented by equation are distinct, then22 Sep, 2021 (E)general equation of second degree
  29. 29The line lies in the plane , then value of is22 Sep, 2021 (E)Line and Plane
  30. 30A line drawn from a point and parallel to the line meets the plane in point , then the co-ordinates of the point are22 Sep, 2021 (E)Line and Plane
  31. 31Preview not available - open to view this question.22 Sep, 2021 (E)Algebraic and Rational Limits
  32. 32If , then22 Sep, 2021 (E)Differentiation of Inverse Trigonometric Functions
  33. 33If , then22 Sep, 2021 (E)Basic
  34. 34Preview not available - open to view this question.22 Sep, 2021 (E)Fundamental of Indefinite Integration
  35. 35The function is increasing, if22 Sep, 2021 (E)Monotonicity
  36. 36If the vectors and are coplanar, then the value of is22 Sep, 2021 (E)Algebra of Vectors
  37. 37If and adj , then22 Sep, 2021 (E)Adjoint and its Properties
  38. 38With usual notations, in any , if a , then the triangle22 Sep, 2021 (E)Sine Rule and its application
  39. 39If , then at is22 Sep, 2021 (E)Logarithmic differentiation
  40. 40If the sum of slopes of lines represented by is twice their product, then22 Sep, 2021 (E)Condition for 2nd degree equationto represent pair of straight lines
  41. 41The differential equation of all parabolas having vertex at the origin and axis along positive -axis is22 Sep, 2021 (E)Formation of Differential Equation
  42. 42Let and . If the truth values of a and are true and that of and are false, then the truth values of a and b are respectively22 Sep, 2021 (E)Mathematical Reasoning
  43. 43If the points and are collinear, then the value of is22 Sep, 2021 (E)Algebra of Vectors
  44. 44If and , then22 Sep, 2021 (E)Inverse of a Matrix
  45. 45If , then the value of is22 Sep, 2021 (E)T inverse T property
  46. 46The d.r.s. of the normal to the plane passing through the origin and the line of intersection of the planes and are22 Sep, 2021 (E)Direction Cosines and Direction Ratios
  47. 47Preview not available - open to view this question.22 Sep, 2021 (E)Integration by Substitution
  48. 48The slant height of a right circular cone is . The height of the cone for maximum volume is22 Sep, 2021 (E)Maxima Minima
  49. 49Let If is continuous for , then22 Sep, 2021 (E)Continuity
  50. 50Two circles centered at and intersects each other. If their radii are equal, then the equation of the common chord is22 Sep, 2021 (E)Common Chord

Physics

  1. 1A tuning fork of frequency ' ' is held near the open end of tube which is closed at the other end and the length are adjusted until resonanc22 Sep, 2021 (E)Organ Pipe (Vibration of Air Column)
  2. 2An electron of mass ' ' and charge ' ' is accelerated from rest in a uniform electric field of strength ' '. The velocity acquired by the el22 Sep, 2021 (E)Electric Field and Electric Field Lines
  3. 3' ' waves are produced on a string in 1 second. When the radius of the string is doubled, keeping tension same, the number of waves produced22 Sep, 2021 (E)Vibration of String
  4. 4In a potentiometer experiment, the balancing length for a cell . On shunting the cell with a resistance of , the balancing length become hal22 Sep, 2021 (E)Electric Instruments
  5. 5The critical angle for light going from medium ' ' to medium ' ' is . The speed of light in medium ' ' is ' '. The speed of light in medium 22 Sep, 2021 (E)Refraction of light from plane surface
  6. 6Choose the correct statement. In semiconductors, valance band and conduction band22 Sep, 2021 (E)Energy Bands in Solids
  7. 7Which of the following gates will give an output ' 1 ' for the given inputs?22 Sep, 2021 (E)Logic gates
  8. 8When a photon enters glass from air, which one of the following quantities does not change?22 Sep, 2021 (E)Photoelectric Effect
  9. 9At a height ' ' above the earth's surface the gravitational acceleration is ( = radius of earth, = acceleration due to gravity on earth's su22 Sep, 2021 (E)Acceleration Due to Gravity
  10. 10Two satellites of equal mass are launched in circular orbits at heights ' ' and ' ' above the surface of the earth. The ratio of their kinet22 Sep, 2021 (E)Motion of satellite
  11. 11A child is standing with folded hands at the centre of the platform rotating about its central axis. The kinetic energy of the system is ' '22 Sep, 2021 (E)Angular momentum and Angular impulse
  12. 12Two particles A and B having same mass have charge and respectively. When they are allowed to fall from rest through same electric potential22 Sep, 2021 (E)Electric Potential and Potential Energy
  13. 13A glass tube of length is filled with water. The water can be drained out slowly from the bottom of the tube. If vibrating tuning fork of fr22 Sep, 2021 (E)Organ Pipe (Vibration of Air Column)
  14. 14For the circuit shown below, instantaneous current through inductor ' ' and capacitor ' ' is respectively.22 Sep, 2021 (E)Parallel AC Circuits
  15. 15An ideal gas at is compressed adiabatically to (8/27) of its original volume. If ratio of specific heats, then the rise in temperature of th22 Sep, 2021 (E)Thermodynamic Processes
  16. 16A ball rises to the surface of a liquid with constant velocity. The density of the liquid is four times the density of the material of the b22 Sep, 2021 (E)Viscosity
  17. 17The change in internal energy of the mass of a gas, when the volume changes from ' ' to ' ' at constant pressure ' ' is Ratio of to22 Sep, 2021 (E)First Law of Thermodynamics
  18. 18The magnetic field inside a current carrying toroidal solenoid is . What is the magnetic field inside the toroid if the current22 Sep, 2021 (E)Magnetic Field
  19. 19Two spherical conductors of radii and are charged to the same potential. If ' ' and ' ' be the respective value of the surface density of ch22 Sep, 2021 (E)Electric Potential and Potential Energy
  20. 20An ideal gas of molar mass ' ' has r.m.s. velocity ' ' at temperature ' '. Then22 Sep, 2021 (E)Speed of Gas
  21. 21Two radioactive materials and have decay constants ' ' and ' ' respectively. Initially, they have the same number of nuclei. After time ' ',22 Sep, 2021 (E)Radioactivity
  22. 22In parallel plate capacitor, electric field between the plates is ' '. If the charge on the plates is ' ' then the force on each plate is22 Sep, 2021 (E)Force and Energy stored in capacitor
  23. 23If the terminal speed of a sphere A [density ] is , in a viscous liquid [density ], the terminal speed of sphere [density ] of the same size22 Sep, 2021 (E)Viscosity
  24. 24The magnetic flux (in weber) in a closed circuit of resistance varies with time second according to equation . The magnitude of induced curr22 Sep, 2021 (E)Magnetic Flux, Faraday's and Lenz law
  25. 25A sound wave of frequency has velocity of . when it travels through air, the particles having a phase difference of , are separated by a dis22 Sep, 2021 (E)Basics of Mechanical Waves
  26. 26A needle is long. Assuming that the needle is not wetted by water, what is the weight of the needle, so that floats on water? [acceleration 22 Sep, 2021 (E)Surface tension
  27. 27A step-down transformer has turns ratio 20: 1 . If is applied across 0.4 ohm secondary coil, then the primary current will22 Sep, 2021 (E)Transformers
  28. 28For a common-emitter amplifier, the voltage gain is 40 . Its input and output impedances are and , respectively. The power gain of the ampli22 Sep, 2021 (E)Junction Transistors
  29. 29In Young's double slit experiment using monochromatic light of wavelength ' ', the maximum intensity of light at a point on the screen is un22 Sep, 2021 (E)Youngs Double Slit Experiment
  30. 30Two rings of radius ' ' and ' ' made of same material have the ratio of moment of inertia about an axis passing through its centre and perpe22 Sep, 2021 (E)Moment of inertia of rigid bodies
  31. 31The emissive power of sphere of area is . The amount of heat radiated in 20 second is22 Sep, 2021 (E)Radiation
  32. 32If the pressure of an ideal gas is decreased by isothermally, then its volume will22 Sep, 2021 (E)Thermodynamic Processes
  33. 33The relative permeability of iron is 2000 . Its absolute permeability in SI unit will be SI unit22 Sep, 2021 (E)Magnetism and Properties of Magnet
  34. 34Force is applied to a body of mass at rest on a frictionless horizontal surface as shown in the force against time graph. The speed of the b22 Sep, 2021 (E)Newton's laws of motion
  35. 35The rate of flow of heat through a copper rod with temperature difference is . The thermal resistance of copper rod will be22 Sep, 2021 (E)Conduction
  36. 36The light of wavelength ' ' is incident on the surface of metal of work function and emits the electron, The maximum velocity of electron em22 Sep, 2021 (E)Photoelectric Effect
  37. 37A parallel plate capacitor having plates of radius has capacitance . It is connected to a.c. supply with angular frequency . the r.m.s. valu22 Sep, 2021 (E)Alternating Current, Voltage and Power
  38. 38A particle having a charge is revolving in a circular path of radius with 1.r.p.s The magnetic field produced at the center of the circle in22 Sep, 2021 (E)Magnetic Field
  39. 39An object is located on a wall, its image of equal size is to be obtained on a parallel wall with the help of a convex lens. The lens in pla22 Sep, 2021 (E)Lens Formula, Refraction of light from curved surface
  40. 40A body of mass ' ' performs linear S.H.M. given by equation . The total energy of the particle at any instant is22 Sep, 2021 (E)Energy of Simple Harmonic Motion
  41. 41A step down transformer is used to reduce the main supply from ' ' volt to ' ' volt. The primary coil draws a current ' ' A and the secondar22 Sep, 2021 (E)Transformers
  42. 42If two sources emit light waves of different amplitudes then22 Sep, 2021 (E)Interference of Light
  43. 43A particle with position vector has a linear momentum . Which one of the following statements is true in respect of its angular momentum ' '22 Sep, 2021 (E)Angular momentum and Angular impulse
  44. 44A particle connected to the end of a spring executes S.H.M. with period ' '. While the corresponding period for another spring is ' '. If th22 Sep, 2021 (E)Time Period and Frequency
  45. 45If ' ' and ' ' denote the magnitude of total energy and angular momentum of revolving electron in Bohr orbit, then22 Sep, 2021 (E)Bohr's Atomic Model
  46. 46In Bohr orbit, the ratio of the kinetic energy of an electron to the total energy of it, is22 Sep, 2021 (E)Bohr's Atomic Model
  47. 47A driver applies the brakes on seeing the red traffic single ahead. At the time of applying the brakes, the vehicle was moving with and reta22 Sep, 2021 (E)Uniform Motion
  48. 48Photons of energy are incident on a photosensitive surface of threshold frequency . The kinetic energy in of the photoelectrons emitted is [22 Sep, 2021 (E)Photoelectric Effect
  49. 49A capacitor of capacity ' ' is charged to a potential ' '. It is connected in parallel to an inductor of inductance ' '. The maximum current22 Sep, 2021 (E)AC Circuits
  50. 50The Kirchhoff's current law and voltage law are respectively based upon the conservation of22 Sep, 2021 (E)Kirchoffs Laws

Frequently Asked Questions

1.How many questions are in the MHTCET 2021 22nd September Evening Shift paper?

This paper has 150 questions in total - 50 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 shift.

3.Is this the same paper for all students who appeared in the evening shift?

MHTCET uses different question sets across shifts and sessions to maintain exam integrity, so this page reflects the specific paper administered in the 22nd September 2021 evening shift.

4.Where can I find the morning shift paper for the same date?

The MHTCET 2021 22nd September Morning Shift paper is listed separately - you can switch to it from the "MHTCET Paper Wise PYQs" panel, under MHTCET 22nd September 2021.

5.How is the MHTCET 2021 22nd September Evening Shift paper structured?

The MHTCET 2021 22nd September Evening Shift paper on MARKS has 150 questions, organised by subject:

  • Chemistry: 50 questions - 50 single-correct.
  • Mathematics: 50 questions - 50 single-correct.
  • Physics: 50 questions - 50 single-correct.
6.How difficult is the MHTCET 2021 22nd September Evening Shift paper?

Each question on MARKS carries a difficulty rating. Of the 150 rated questions in this paper, 55 (37%) are easy, 73 (49%) are medium and 22 (15%) are hard. Subject wise:

  • Chemistry: 15 easy, 29 medium, 6 hard
  • Mathematics: 17 easy, 24 medium, 9 hard
  • Physics: 23 easy, 20 medium, 7 hard
7.Which chapters were asked the most in the MHTCET 2021 22nd September Evening Shift paper?

The chapters with the most questions in each subject were:

  • Chemistry: Electrochemistry (4), Alcohols Phenols and Ethers (3), and Chemical Kinetics (3).
  • Mathematics: Application of Derivatives (4), Differential Equations (4), and Indefinite Integration (4).
  • Physics: Alternating Current (5), Waves and Sound (4), and Dual Nature of Matter (3).
8.Where can I find the solutions for the MHTCET 2021 22nd September Evening Shift 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 shift is coming soon.

9.How should I use the MHTCET 2021 22nd September Evening Shift paper to check my preparation?

Set a timer, attempt the 150 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 MHTCET. Repeating this with other papers shows whether the same weak spots keep coming back.

10.Will the MHTCET 2021 22nd September Evening Shift paper help me prepare for MHTCET 2027?

Yes. Every past paper shows the question styles and topics MHTCET 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.