MHTCET 2025 25th April Evening Shift
Browse the complete Chemistry, Mathematics, and Physics question set from the MHTCET 2025 25th April 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 - 46 easy (31%), 104 moderate (69%) and 0 tough (0%). That's a fairly typical mix for this exam. By subject: Physics 32% easy, 68% moderate, 0% tough; Chemistry 46% easy, 54% moderate, 0% tough; Mathematics 14% easy, 86% moderate, 0% tough.
Chemistry questions were spread across 26 chapters, with Alcohols Phenols and Ethers (3), Chemical Kinetics (3), and Electrochemistry (3) carrying the most weight. Mathematics questions were spread across 25 chapters, with Three Dimensional Geometry (5), Vector Algebra (5), and Application of Derivatives (4) carrying the most weight. Physics questions were spread across 24 chapters, with Waves and Sound (4), Alternating Current (3), and Electromagnetic Induction (3) carrying the most weight.
Chemistry
- 1Which among the following salts forms basic solution when dissolved in water?25 Apr, 2025 (E)Salt Hydrolysis
- 2Identify the product formed when 2-Bromobutane is heated with aqueous solution of sodium hydroxide.25 Apr, 2025 (E)Preparation and Properties of Monohalides
- 3What is the charge required to convert to ?25 Apr, 2025 (E)Cells and Electrode Potential, Nernst Equation
- 4Find the volume of 56 g dinitrogen at STP25 Apr, 2025 (E)Mole concept
- 5Calculate the work done in joule if 1 mole of an ideal gas compressed from volume to at constant external pressure 3 bar.25 Apr, 2025 (E)First Law and Basic Fundamentals of Thermodynamics
- 6If Instantaneous rate of reaction is stated as , identify the reaction.25 Apr, 2025 (E)Rate of reaction
- 7Calculate the vapour pressure of solution if relative lowering of vapour pressure and vapour pressure of pure solvent are 0.018 and 18 mm Hg25 Apr, 2025 (E)Colligative Properties and Abnormal Molecular Masses
- 8Which from following elements in respective oxidation state develops highest spin only magnetic moment?25 Apr, 2025 (E)Properties of D-block elements
- 9Which from following polymers is used as wool substitute?25 Apr, 2025 (E)Preparation and Properties of Polymers
- 10Which from following compounds does NOT contain nitrogen in it?25 Apr, 2025 (E)IUPAC Nomenclature
- 11A container contains and certain amount of ' Ne ' at a certain temperature. What is the mass of 'Ne' required so that the partial pressure e25 Apr, 2025 (E)Mixture of gases
- 12Find the EAN of Zn in ?25 Apr, 2025 (E)Terminology of coordination compounds
- 13If standard reduction potential of , and are -2.37 V , and +0.34 V respectively. Which of the following reaction is spontaneous?25 Apr, 2025 (E)Cells and Electrode Potential, Nernst Equation
- 14Which from following statements is NOT true for phenol?25 Apr, 2025 (E)Properties of Phenol
- 15In carbinol system, sec-Butyl alcohol is named as25 Apr, 2025 (E)Preparation and Properties of Alcohols
- 16Calculate the number of unit cells in volume of metal if unit cell edge length is25 Apr, 2025 (E)Cubic system
- 17Calculate the number of moles of nonvolatile solute dissolved in 0.5 kg solvent if molal elevation constant for solvent is25 Apr, 2025 (E)Colligative Properties and Abnormal Molecular Masses
- 18Which from following is an example of both intensive property and state function?25 Apr, 2025 (E)System and surrounding
- 19What is the number of moles of H atoms required for complete reduction of one mole acetonitrile?25 Apr, 2025 (E)Preparation and Properties of Amines
- 20Calculate the pH of centimolar solution of monoacidic weak base. Which is dissociated in its aqueous solution?25 Apr, 2025 (E)PH of solutions
- 21Identify 'A' in the following reaction.25 Apr, 2025 (E)Reactions of alkynes
- 22What is molar conductivity at zero concentration in for aluminium sulphate, if molar ionic conductivities at zero concentration of and are a25 Apr, 2025 (E)Conductance and Conductivity
- 23Which of the following compounds is an optically inactive compound?25 Apr, 2025 (E)Isomerism of Organic Compounds
- 24Which of the following reagents is used in the conversion of phenol into picric acid?25 Apr, 2025 (E)Properties of Phenol
- 25Which of the following is an example of second order reaction?25 Apr, 2025 (E)Rate law and rate constant
- 26Calculate the total volume occupied by all particles in fcc unit cell if volume of unit cell is25 Apr, 2025 (E)Cubic system
- 27Identify the product formed in the following reaction.25 Apr, 2025 (E)Preparation and Properties of Acid Derivatives
- 28What type of glycosidic linkages are present in amylose?25 Apr, 2025 (E)Disaccharides and Polysaccharides
- 29Which of the following is more polar?25 Apr, 2025 (E)Dipole moment
- 30When 2-Methylbut-2-ene is treated with hydrogen chloride, the major product formed is25 Apr, 2025 (E)Reactions of alkenes
- 31Which colour is developed to the solution when alkaline earth metals are dissolved in liquid ammonia ?25 Apr, 2025 (E)Alkaline Earth Metals
- 32Which of the following house hold plastic material is used to prepare drinking straws ?25 Apr, 2025 (E)Preparation and Properties of Polymers
- 33What is the time required for completion of a first order reaction if rate constant is ?25 Apr, 2025 (E)Integrated rate laws
- 34Identify the product formed in the following reaction. Product25 Apr, 2025 (E)Reactions of Benzene
- 35Arrange the following equimolar solutions according to increasing order of osmotic pressure [Assume complete ionisation] A. KCl B. C. D.25 Apr, 2025 (E)Colligative Properties and Abnormal Molecular Masses
- 36Which from following is useful to extract analgesic and antimicrobial compounds?25 Apr, 2025 (E)Drugs and It's Classification
- 37Which element from following has smallest ionic size in +3 state?25 Apr, 2025 (E)F-Block elements
- 38Identify the monomers used in preparation of Nylon 2- nylon 625 Apr, 2025 (E)Preparation and Properties of Polymers
- 39Identify the correct increasing order of field strength of ligands form following.25 Apr, 2025 (E)Werner's theory and Valence Bond Theory
- 40A monobasic weak acid dissociates in its 0.002 M solution. Calculate the dissociation constant of weak acid.25 Apr, 2025 (E)Ionic Product of Water
- 41Which of the following pair of compounds consists equal number of lone pair of electrons in the valence shell of central atom?25 Apr, 2025 (E)Covalent and Co-ordinate Bonding
- 42Which of the following is an acidic oxide?25 Apr, 2025 (E)Nitrogen and Its Compounds
- 43What is oxidation number of sulphur in ?25 Apr, 2025 (E)Oxidation number
- 44Which from following substances is classified as macromolecular colloid?25 Apr, 2025 (E)Colloids
- 45What is the total number of unit cells shared by each corner particle of bcc unit cell?25 Apr, 2025 (E)Cubic system
- 46Which of the following is used as reagent in Etard reaction?25 Apr, 2025 (E)Chemical reactions for aldehydes and ketones
- 47For a certain reaction, and Find the temperature so that25 Apr, 2025 (E)Third law of thermodynamics
- 48Which of the following elements contains maximum number of unpaired electrons?25 Apr, 2025 (E)Electronic configuration
- 49Which from following amines on heating with chloroform and ethanolic potassium hydroxide produces foul smell?25 Apr, 2025 (E)Preparation and Properties of Amines
- 50What is the total number of carbon atoms present in a sugar molecule of RNA nucleotide?25 Apr, 2025 (E)Carbohydrates
Mathematics
- 1If a circle with centre at touches the line then the co-ordinates of the point of contact are25 Apr, 2025 (E)Tangent to circle
- 2A doctor assumes that patient has one of three diseases or d 3. Before any test he assumes an equal probability for each disease. He carries25 Apr, 2025 (E)Baye's Theorem
- 3A particle starts from the point where . It moves first horizontally away from the origin by 5 units and then vertically upwards parallel to25 Apr, 2025 (E)Geometry of Complex Number
- 4.25 Apr, 2025 (E)Algebraic and Rational Limits
- 5Consider the following three statements (A) If then . (B) If then earth is flat. (C) If both (A) and (B) are true then . Which of the follow25 Apr, 2025 (E)Mathematical Reasoning
- 6If and A.adj , then25 Apr, 2025 (E)Adjoint and its Properties
- 7The common principal solution of the equations and is25 Apr, 2025 (E)Basic
- 8The slopes of the lines represented by are in the ratio , then25 Apr, 2025 (E)Angle between lines
- 9If is an obtuse angle between vector and such that and then25 Apr, 2025 (E)Product of 2 vectors
- 10If the plane cuts the co-ordinate axes in point respectively, then the area of the triangle is25 Apr, 2025 (E)Plane in Space
- 11The rate of increase of the population of a city is proportional to the population present at that instant. In the period of 40 years the po25 Apr, 2025 (E)Applications of DE
- 12The probability that a student is not a swimmer is . The probability that out of 5 students selected at random 4 are swimmers is25 Apr, 2025 (E)Bernoulli Trial and Binomial Distribution
- 13A player tosses two coins. He wins Rs. 10, if 2 heads appears, Rs. 5, if one head appear and Rs. 2 if no head appears. Then variance of winn25 Apr, 2025 (E)Random Variable and its Probability Distribution
- 14Consider the probability distribution \( {array}{|r|c|c|c|c|c|} {X}=x & 1 & 2 & 3 & 4 & 5 \\ {P}( {X}=x) & {K} & 2 {K} & {K}^2 & 2 {K} & 5 {25 Apr, 2025 (E)Random Variable and its Probability Distribution
- 15The equation of the curve passing through origin and satisfying is25 Apr, 2025 (E)Variable Separable Form
- 16If , then25 Apr, 2025 (E)Differentiation of Inverse Trigonometric Functions
- 17The order of the differential equation whose general solution is given by is (where are arbitrary constants)25 Apr, 2025 (E)Order and Degree
- 18In L.P.P. , the maximum value of objective function subject to constraints is25 Apr, 2025 (E)Linear Programming
- 19If the lines and are coplanar, then25 Apr, 2025 (E)Line and Plane
- 20If , then25 Apr, 2025 (E)T inverse T property
- 21If The switch is closed, The switch is closed, switch is closed, then symbolic form of following switching circuit is equivalent to25 Apr, 2025 (E)Mathematical Reasoning
- 22Let is differentiable function having and is continuous at , then25 Apr, 2025 (E)Leibnitz Rule of Differentiation
- 23The area bounded by the curve and X - axis in square units, is25 Apr, 2025 (E)Area of Curve along axis
- 24The Cartesian equation of the plane is25 Apr, 2025 (E)Line in Space
- 25If the line lies in the plane , then values of and respectively are ....25 Apr, 2025 (E)Line and Plane
- 26Preview not available - open to view this question.25 Apr, 2025 (E)Properties of Definite Integration
- 27If the vectors and make obtuse angle for any , then c belongs to25 Apr, 2025 (E)Product of 2 vectors
- 28Preview not available - open to view this question.25 Apr, 2025 (E)Properties of Definite Integration
- 29The altitude through vertex A of with position vectors of points as respectively is25 Apr, 2025 (E)Product of 2 vectors
- 30Preview not available - open to view this question.25 Apr, 2025 (E)Integration by Substitution
- 31The lines and are25 Apr, 2025 (E)Line in Space
- 32If and are unit vectors and , , then angle between the vectors and and angle between the vectors and are respectively.25 Apr, 2025 (E)Vector Triple Product
- 33With usual notations in , if , and are roots of equation , , then25 Apr, 2025 (E)Relation between Roots and Coefficients
- 34Preview not available - open to view this question.25 Apr, 2025 (E)Integration by Substitution
- 35If , then for the value of25 Apr, 2025 (E)Sum and difference of angles
- 36Let defined by and defined by , then sum of all values of for which is25 Apr, 2025 (E)Inverse of a Function
- 37There are 11 points in a plane of which 5 points are collinear. Then the total number of distinct quadrilaterals with vertices at these poin25 Apr, 2025 (E)Combination
- 38equals25 Apr, 2025 (E)Integration by Substitution
- 39The length of the perpendicular drawn from the origin on the normal to the curve at the point is25 Apr, 2025 (E)Tangent Normal
- 40If then is increasing in25 Apr, 2025 (E)Monotonicity
- 41The angle , at which the curves and intersect, is given by25 Apr, 2025 (E)Tangent Normal
- 42The function satisfyies the conditions of Rolle's theorem in . Then the values of and are respectively25 Apr, 2025 (E)Mean Value Theorem
- 43If , then25 Apr, 2025 (E)Differentiation of implicit functions
- 44If and , then the value of25 Apr, 2025 (E)Parametric differentiation
- 45Let and and if then25 Apr, 2025 (E)Product of 2 vectors
- 46The circumradius of a triangle whose sides are 10 units, 8 units and 6 units is25 Apr, 2025 (E)Circle Connected to Triangle
- 47The eccentricity of the hyperbola which passes through the points and is25 Apr, 2025 (E)Equation of hyperbola
- 48Preview not available - open to view this question.25 Apr, 2025 (E)Sum and Difference & Multiple angle Formula
- 49The straight line passing through and midpoint of the line segment joining the points and have inclination25 Apr, 2025 (E)Coordinate System
- 50The general solution of differential equation dy is25 Apr, 2025 (E)Homogeneous DE
Physics
- 1The fundamental frequencies of vibrations of air column in pipe open at both ends and in pipe closed at one end are ' ' and ' ' respectively25 Apr, 2025 (E)Organ Pipe (Vibration of Air Column)
- 2A force is applied on a square plate of side . If the percentage error in determining F is and that in L is , then the percentage error in d25 Apr, 2025 (E)Errors of Measurement
- 3A bob of mass ' m ' is tied by a massless string whose other end is wound on a flywheel (disc) of radius ' ' and mass ' '. When released fro25 Apr, 2025 (E)Rotational kinematics
- 4A copper ring having a cut such as not to form a complete loop is held horizontally and a bar magnet is dropped through the ring with its le25 Apr, 2025 (E)Magnetic Flux, Faraday's and Lenz law
- 5In Young's double slit experiment, at two points P and Q on screen, waves from slits and have a path difference of 0 and respectively. The r25 Apr, 2025 (E)Youngs Double Slit Experiment
- 6One of the following values of inputs and C respectively gives output of the following combination of logic gates as ' 1 ' is25 Apr, 2025 (E)Logic gates
- 7The initial average kinetic energy of the molecules was E , when a gas sample is at . When the gas is heated to , then the final average kin25 Apr, 2025 (E)Pressure and Energy of gas
- 8A piece of semiconductor is connected in series in an electric circuit. On increasing the temperature, the current in the circuit will25 Apr, 2025 (E)Semiconductors
- 9Seven capacitors each of capacitance are to be connected in a configuration to obtain an effective capacitance . The combination is25 Apr, 2025 (E)Grouping of capacitors
- 10In an circuit, the value of is henry and the value of is , If in the circuit, an alternating e.m.f of 230 V at 50 cycles per second is conne25 Apr, 2025 (E)AC Circuits
- 11The depth at which the value of acceleration due to gravity becomes times the value at the surface of the earth is ( radius of the earth)25 Apr, 2025 (E)Acceleration Due to Gravity
- 12A horizontal pipeline carries water in a stream-line flow. At a point along the pipe, where the cross-sectional area is , the velocity of wa25 Apr, 2025 (E)Hydrodynamics
- 13Two simple pendulums have first bob of mass ' ' and length ' ', second (B) of mass ' ' and length ' '. and . If their total energies are sam25 Apr, 2025 (E)Energy of Simple Harmonic Motion
- 14If the frequency of incident light in a photoelectric experiment is doubled, then stopping potential will25 Apr, 2025 (E)Photoelectric Effect
- 15A constant force newton has a displacement metre in 2 second. The work done and the power are respectively25 Apr, 2025 (E)Work done
- 16In a common emitter amplifier configuration, the current gain is 62 . The collector resistance and input resistance are and respectively. If25 Apr, 2025 (E)Junction Transistors
- 17A thin uniform rod of length ' ' and mass ' ' is swinging freely about a horizontal axis passing through its end. Its maximum angular speed 25 Apr, 2025 (E)Rotational kinematics
- 18In a biprism experiment a steady interference pattern is observed on the screen using a light of wavelength . Without disturbing the set up 25 Apr, 2025 (E)Youngs Double Slit Experiment
- 19Two girls are standing at the ends 'A' and 'B' of a ground where . The girl at ' ' starts running in a direction perpendicular to ' AB ' wit25 Apr, 2025 (E)Relative motion
- 20A coil of wire of radius ' ' has 600 turns and a self-inductance of 108 mH . The self-inductance of a coil with same radius and 500 turns is25 Apr, 2025 (E)Self and Mutual Inductance
- 21A sample of an ideal gas is heated at constant pressure. If 100J of heat is supplied to the gas , the work done by the gas is25 Apr, 2025 (E)First Law of Thermodynamics
- 22Using Bohr's quantisation condition, what is the rotational energy in the second orbit for a diatomic molecule? ( moment of inertia of diato25 Apr, 2025 (E)Bohr's Atomic Model
- 23Assuming the drops to be spherical, 27 identical drops of mercury are charged simultaneously to the same potential of 20 volt . If all the c25 Apr, 2025 (E)Electric Potential and Potential Energy
- 24An object of mass ' ' moving with velocity ' ' collides with another stationary object of mass ' M ' and stops just after the collision. The25 Apr, 2025 (E)Collisions
- 25In the following figure magnitude of the magnetic field at the point is25 Apr, 2025 (E)Magnetic Field
- 26A balloon is filled at and 1 atmospheric pressure by volume helium gas. At and 0.5 atmospheric pressure, the volume of helium gas will be25 Apr, 2025 (E)Thermodynamic Systems
- 27As shown in the figure, and are identical springs with spring constant each. The oscillation frequency of the mass ' ' is ' '. If the spring25 Apr, 2025 (E)Applications of SHM
- 28The volume of a metal sphere increases by when its temperature is raised by . The coefficient of linear expansion of the metal is25 Apr, 2025 (E)Thermal Expansion
- 29The amount of work done in blowing a soap bubble such that its diameter increases from ' d ' to ' D ' is ( surface tension of solution)25 Apr, 2025 (E)Surface tension
- 30In an a.c. circuit, a resistance ' ' is connected in series with an inductance ' '. If phase angle between voltage and current is , the valu25 Apr, 2025 (E)Alternating Current, Voltage and Power
- 31In an open end organ pipe of length ' ', if the velocity of sound is ' ', then the fundamental frequency will be (Neglect end correction)25 Apr, 2025 (E)Organ Pipe (Vibration of Air Column)
- 32Two batteries of e.m.f 4 V and 8 V with internal resistance and respectively are connected in a circuit with a resistance of as shown in the25 Apr, 2025 (E)Kirchoffs Laws
- 33At what speed should a source of sound move so that the observer finds the apparent frequency equal to half the original frequency?25 Apr, 2025 (E)Doppler’s Effect
- 34A particle starts oscillating simple harmonically from its mean position with time period ' '. At time , the ratio of the potential energy t25 Apr, 2025 (E)Energy of Simple Harmonic Motion
- 35A coil of ' ' turns and resistance is connected in series with a resistance . The combination is moved for time 't' second through magnetic 25 Apr, 2025 (E)Magnetic Flux, Faraday's and Lenz law
- 36An electron of mass ' m ' and charge ' e ' initially at rest gets accelerated by a constant electric field ' '. The rate of change of de-Bro25 Apr, 2025 (E)Matter Waves
- 37The moment of inertia of a solid sphere of mass ' ' and radius ' ' about its diametric axis is 'I'. Its moment of inertia about a tangent in25 Apr, 2025 (E)Moment of inertia of rigid bodies
- 38A glass cube of length 21 cm has a small air bubble trapped inside. When viewed normally from one face, its apparent distance is 8 cm. When 25 Apr, 2025 (E)Refraction of light from plane surface
- 39Two identical metal plates are given charges and respectively. If they are now brought close together to form a parallel plate capacitor wit25 Apr, 2025 (E)Capacitance
- 40In hydrogen atom in its ground state, the first Bohr orbit has radius ' . When the atom is raised to one of its excited states, the electron25 Apr, 2025 (E)Bohr's Atomic Model
- 41Heat supplied dQ = increased in internal energy dU is true for25 Apr, 2025 (E)First Law of Thermodynamics
- 42With a resistance ' ' connected in series with a galvanometer of resistance , it acts as a voltmeter of range . To double the range, a resis25 Apr, 2025 (E)Electric Instruments
- 43When one end of a capillary tube is dipped in water, the height of water column is ' '. The upward force of 105 dyne due to surface tension 25 Apr, 2025 (E)Surface tension
- 44A tuning fork gives 5 beats per second with 40 cm length of sonometer wire. If the length of the wire is shortened by 1 cm , the number of b25 Apr, 2025 (E)Vibration of String
- 45A circular coil carrying current 'I' has a radius ' ' and ' ' turns. The magnetic field along the axis of a coil at a distance ' ' from its 25 Apr, 2025 (E)Magnetic Field
- 46Two equally charged small balls placed at a fixed distance experience a force 'F'. A similar uncharged ball after touching one of them is pl25 Apr, 2025 (E)Electric Charge and Coulomb's law
- 47An a.c. source of frequency ' ' is connected to a circuit containing an inductance ' ' and resistance ' ' in series. The impedance of this c25 Apr, 2025 (E)AC Circuits
- 48A black body emits radiation of maximum intensity at wavelength ' ' at temperature T K. Its corresponding wavelength at temperature will be25 Apr, 2025 (E)Radiation
- 49In a single slit diffraction experiment, slit of width ' ' is illuminated by light of wavelength ' ' and the width of the central maxima in 25 Apr, 2025 (E)Diffraction of Light
- 50To protect the instrument from magnetic field, it is completely surrounded by25 Apr, 2025 (E)Magnetic Materials and their Properties
Frequently Asked Questions
1.How many questions are in the MHTCET 2025 25th April 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 25th April 2025 evening shift.
4.Where can I find the morning shift paper for the same date?
The MHTCET 2025 25th April Morning Shift paper is listed separately - you can switch to it from the "MHTCET Paper Wise PYQs" panel, under MHTCET 25th April 2025.
5.How is the MHTCET 2025 25th April Evening Shift paper structured?
The MHTCET 2025 25th April 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 2025 25th April Evening Shift paper?
Each question on MARKS carries a difficulty rating. Of the 150 rated questions in this paper, 46 (31%) are easy, 104 (69%) are medium and 0 (0%) are hard. Subject wise:
- Chemistry: 23 easy, 27 medium, 0 hard
- Mathematics: 7 easy, 43 medium, 0 hard
- Physics: 16 easy, 34 medium, 0 hard
7.Which chapters were asked the most in the MHTCET 2025 25th April Evening Shift paper?
The chapters with the most questions in each subject were:
- Chemistry: Alcohols Phenols and Ethers (3), Chemical Kinetics (3), and Electrochemistry (3).
- Mathematics: Three Dimensional Geometry (5), Vector Algebra (5), and Application of Derivatives (4).
- Physics: Waves and Sound (4), Alternating Current (3), and Electromagnetic Induction (3).
8.Where can I find the solutions for the MHTCET 2025 25th April 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 2025 25th April 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 2025 25th April 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.