MHTCET 2026 15th April Evening Shift
Browse the complete Chemistry, Mathematics, and Physics question set from the MHTCET 2026 15th 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 - 64 easy (43%), 84 moderate (56%) and 2 tough (1%). That's an easier-than-usual mix for this exam - aim to clear it quickly and save time for the harder papers. By subject: Physics 44% easy, 56% moderate, 0% tough; Chemistry 72% easy, 28% moderate, 0% tough; Mathematics 12% easy, 84% moderate, 4% tough.
Chemistry questions were spread across 26 chapters, with Haloalkanes and Haloarenes (4), Alcohols Phenols and Ethers (3), and Biomolecules (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 Magnetic Effects of Current (3) carrying the most weight.
Chemistry
- 1What is number of hydrogen molecules needed to synthesize 3.4 g of ammonia by reaction with nitrogen?15 Apr, 2026 (E)Quantitative measures in chemical equations
- 2If the velocity of the electron in Bohr's first orbit is , Calculate the de Broglie wavelength associated with it. Mass of electrons kg15 Apr, 2026 (E)Bohr's model
- 3What type of bond and type of overlapping present in molecule ?15 Apr, 2026 (E)Covalent and Co-ordinate Bonding
- 4For the following redox reaction, find the correct statement.15 Apr, 2026 (E)Oxidation and Reduction Reactions
- 5Which of the following is the most abundant element in universe?15 Apr, 2026 (E)Preparation and Properties of Hydrogen
- 6Calculate the new pressure of the gas enclosed in a cylinder when it compressed from 5 L to 2 L at 1 atm and 300 K. The final temperature in15 Apr, 2026 (E)Gas laws and Ideal Gas Equation
- 7Which of the following exhibits the minimum coagulating power for precipitating of positively charged ferric oxide sol ?15 Apr, 2026 (E)Properties of colloidal solution
- 8What are the reactants involved in Friedal Crafts alkylation?15 Apr, 2026 (E)Reactions of aromatic compounds
- 9Match List I with List II List I List II (A). Inductive effect (I). Delocalization of electrons (B). Hyper-conjugation (II). Displacement of15 Apr, 2026 (E)Electron displacement effects
- 10Identify the natural source of ascorbic acid from following.15 Apr, 2026 (E)Vitamins
- 11Identify the covalent crystal from the following.15 Apr, 2026 (E)Properties and Types of Solids
- 12Calculate the number of atoms present in 1.625 g metal if it forms bcc unit cell structure.15 Apr, 2026 (E)Cubic system
- 13Identify the false statement regarding magnetic properties of substance. (A) Paramagnetic substances are weakly attracted. (B) Diamagnetic s15 Apr, 2026 (E)Electrical and Magnetic properties
- 14Which of the following colligative properties is useful to determine the molar masses of proteins, polymers or colloids, with the greatest p15 Apr, 2026 (E)Colligative Properties and Abnormal Molecular Masses
- 15Find the mass of sodium carbonate in grams to form 100 ml 0.1 M solution in water? ( Molar mass of = 106 g/mol)15 Apr, 2026 (E)Mole concept
- 16If a 0.4 molal solution of a nonvolatile solute in organic solvent decreases its freezing point by 2.4 K., then the molal depression constan15 Apr, 2026 (E)Colligative Properties and Abnormal Molecular Masses
- 17Identify from following the conjugate base of15 Apr, 2026 (E)Theories of Acids and Bases
- 18Calculate pOH of 0.001M HCl solution.15 Apr, 2026 (E)PH of solutions
- 19What is the solubility product of binary sparingly soluble salt BA if 100 mL saturated solution of salt consist moles at room temperature?15 Apr, 2026 (E)Solubility
- 20Find when 1 mol of each and , reacts to form solid .15 Apr, 2026 (E)Law of Mass Action, Equilibrium Constant (Kc and Kp) and its Application
- 21For a reaction to be spontaneous at all temperatures, the values of enthalpy change and entropy change should be15 Apr, 2026 (E)Third law of thermodynamics
- 22For a certain reaction, is kJ and is . At what temperature the change over from spontaneous to nonspontaneous will occur?15 Apr, 2026 (E)Entropy and Second law of thermodynamics
- 23Which of the following is an electrolyte in dry cell ?15 Apr, 2026 (E)Commercial Cells and Batteries
- 24The of cell is 1.5 V if is V then will be15 Apr, 2026 (E)Cells and Electrode Potential, Nernst Equation
- 25Calculate the concentration of silver nitrate solution if molar conductivity and conductivity of silver nitrate at C are respectively 120 oh15 Apr, 2026 (E)Conductance and Conductivity
- 26For the reaction , the rate of reaction is represented by15 Apr, 2026 (E)Rate of reaction
- 27What is the role of catalyst in catalytic reaction ?15 Apr, 2026 (E)Catalysis and Theories of Catalysis
- 28The rate of reaction is When and , What is the rate constant of reaction, if it is first order with respect to A and second order with respe15 Apr, 2026 (E)Rate law and rate constant
- 29Identify the group of periodic table that contains element Astatine.15 Apr, 2026 (E)Modern periodic table
- 30Identify weakest acid from following.15 Apr, 2026 (E)Halogens and Its Compounds
- 31Which of the following elements in +3 oxidation state forms colourless compounds?15 Apr, 2026 (E)Properties of D-block elements
- 32Which of the following elements has completely filled 4 f orbital at the expected ground state configuration?15 Apr, 2026 (E)F-Block elements
- 33Which of the following ligands splits d orbitals to maximum level?15 Apr, 2026 (E)Crystal Field Theory
- 34Identify the complex having the highest number of unpaired electrons from following.15 Apr, 2026 (E)Crystal Field Theory
- 35Method of preparation of alkyl halide This reaction is known as15 Apr, 2026 (E)Preparation and Properties of Monohalides
- 36In benzylic halides, the halogen atom is bonded to15 Apr, 2026 (E)Preparation and Properties of Monohalides
- 37Which of the following is a correct feature of the mechanism?15 Apr, 2026 (E)Preparation and Properties of Monohalides
- 38Which of the following compounds is obtained by Williamson synthesis ?15 Apr, 2026 (E)Preparation of Ethers
- 39Which of the following is used as solvent for Grignard reagent?15 Apr, 2026 (E)Grignard Reagent
- 40Identify the name of reaction when phenol reacts with chloroform in aqueous NaOH.15 Apr, 2026 (E)Reactions of Phenol
- 41What is IUPAC name of the compound ?15 Apr, 2026 (E)IUPAC Nomenclature
- 42Which of following on oxidation forms propanone?15 Apr, 2026 (E)Reactions of Alcohols
- 43Which of the following is the strongest carboxylic acid?15 Apr, 2026 (E)Preparation and Properties of Carboxylic Acids
- 44Which of the following amines is not represented by formula ?15 Apr, 2026 (E)Preparation and Properties of Amines
- 45What is the correct IUPAC name for a molecule that has two amino groups in opposing (para) locations around a benzene ring?15 Apr, 2026 (E)IUPAC Nomenclature
- 46During denaturation, which level of protein structure remains unchanged?15 Apr, 2026 (E)Proteins
- 47Which of the following statements are correct? A) - amino acids present in protein is L- amino acid. B) Amino acids contain as well as COOH 15 Apr, 2026 (E)Properties and Preparation of Amino Acids
- 48Which among the following is NOT a polyester polymer ?15 Apr, 2026 (E)Classification of Polymers
- 49Identify the monomers used to prepare bakelite from the following.15 Apr, 2026 (E)Preparation and Properties of Polymers
- 50Which of the following is applicable to thin film?15 Apr, 2026 (E)Nanostructures
Mathematics
- 1The value of is equal to15 Apr, 2026 (E)Principal Value and Basics
- 2If , then15 Apr, 2026 (E)Algebraic and Rational Limits
- 3Let , , be the altitudes of a triangle ABC from the vertices A, B, C respectively. If denotes the area of the triangle and s is the semi-per15 Apr, 2026 (E)Sine Rule and its application
- 4If , y, z are the sides of a right angled triangle, where z is the largest side, then15 Apr, 2026 (E)Logarithm
- 5Negation of the statement "If an integer is greater than 4 and less than 5, then it is a multiple of 3", is15 Apr, 2026 (E)Mathematical Reasoning
- 6The element in the third row and the second column in the inverse matrix of a matrix is15 Apr, 2026 (E)Inverse of a Matrix
- 7A bag contains 23 balls, of which 7 are identical. The number of ways of selecting 12 balls from the bag is....15 Apr, 2026 (E)Selection of one or more item
- 8In a triangle ABC, with the usual notations, , . If D divides BC internally in the ratio 1:3, then15 Apr, 2026 (E)Sine Rule and its application
- 9If , then the value of is15 Apr, 2026 (E)Trigonometric Series
- 10If is a complex cube root of unity, then the value of15 Apr, 2026 (E)Cube Root of Unity
- 11The line intersects the pair of straight lines at points A and B. Then the co-ordinates of the mid-point of AB are15 Apr, 2026 (E)Pair of lines through origin
- 12Preview not available - open to view this question.15 Apr, 2026 (E)Integration by Substitution
- 13The distance of the point from the plane measured parallel to the line is15 Apr, 2026 (E)Line and Plane
- 14The probability that event A happens in a trial is 0.4. If three independent trials are made, then the probability that A happens at least o15 Apr, 2026 (E)Independent Events
- 15If 6 boys and 3 girls are to be seated in a row for a photograph, then the probability that the end seats are occupied by the girls and no t15 Apr, 2026 (E)Arrangement under Constraint
- 16The solution of the differential equation , given that when is15 Apr, 2026 (E)Variable Separable Form
- 17The equation of the common tangent touching the circle and the parabola above the X-axis is15 Apr, 2026 (E)Common Tangents
- 18The order and degree of the differential equation are respectively15 Apr, 2026 (E)Order and Degree
- 19The equation of the line passing through the point of intersection of the lines and and making an intercept 5 on the y-axis is15 Apr, 2026 (E)Concurrency & Family of Lines
- 20Let and . If is a vector such that , and the angle between and is , then is equal to15 Apr, 2026 (E)Product of 2 vectors
- 21The equation of the plane passing through the point and perpendicular to the planes and is15 Apr, 2026 (E)Plane in Space
- 22If the lines , , and , , with parameters s and t, are coplanar, then15 Apr, 2026 (E)Line in Space
- 23If , then15 Apr, 2026 (E)Solving Trigonometric Equation
- 24A random variable X has the following probability distribution X 1 2 3 4 5 6 7 8 P(X= ) 0.15 0.23 0.12 0.10 0.20 0.08 0.07 0.05 For the even15 Apr, 2026 (E)Random Variable and its Probability Distribution
- 25For the following probability distribution, the standard deviation of the random variable X is X 2 3 4 p(X= ) 0.2 0.5 0.315 Apr, 2026 (E)Random Variable and its Probability Distribution
- 26The area of the region bounded by the curves , and , and the X-axis is15 Apr, 2026 (E)Area of Curve along axis
- 27If is an even function, then is15 Apr, 2026 (E)Properties of Definite Integration
- 28The angle between the tangents drawn from the origin to the circle is15 Apr, 2026 (E)Pair of Tangents
- 29A spherical mothball has initial radius 3 cm. Due to evaporation, the radius of the ball reduces to 1 cm in 4 months. In how many months wou15 Apr, 2026 (E)Rate Measure Error and Approximation
- 30The value of f(0) so that the function , is continuous at , is15 Apr, 2026 (E)Continuity
- 31The dual of the statement pattern is equivalent to15 Apr, 2026 (E)Mathematical Reasoning
- 32If the lines and intersect each other, then m =15 Apr, 2026 (E)Line in Space
- 33Let ABCD be a quadrilateral with , and . If its area is times the area of the parallelogram with AB, AD as adjacent sides, then the value of15 Apr, 2026 (E)Product of 2 vectors
- 34The solution of is15 Apr, 2026 (E)Variable Separable Form
- 35The altitude of the parallelopiped, whose coterminous edges are the vectors , , , where , are the sides of the base of parallelopiped, is15 Apr, 2026 (E)Product of 2 vectors
- 36Preview not available - open to view this question.15 Apr, 2026 (E)Properties of Definite Integration
- 37The value of is15 Apr, 2026 (E)Fundamental of Indefinite Integration
- 38Preview not available - open to view this question.15 Apr, 2026 (E)Integration using Partial Fraction
- 39The co-ordinates of the point where the line joining the points and is intersected by the YOZ plane are15 Apr, 2026 (E)Line in Space
- 40The point on the curve where the normal to the curve makes equal intercepts with the co-ordinate axes is15 Apr, 2026 (E)Tangent Normal
- 41The approximate value of is15 Apr, 2026 (E)Binomial Theorem for Rational Index
- 42If , and is the angle between and then15 Apr, 2026 (E)Algebra of Vectors
- 43The maximum value of , is15 Apr, 2026 (E)Maxima Minima
- 44The surface area of a spherical ball is increasing at the rate of /second. The rate at which the radius is increasing when the surface area 15 Apr, 2026 (E)Rate Measure Error and Approximation
- 45A unit vector coplanar with and and perpendicular to is15 Apr, 2026 (E)Product of 2 vectors
- 46If , then the ordered pair at is equal to15 Apr, 2026 (E)Differentiation of implicit functions
- 47The derivative of is15 Apr, 2026 (E)Differentiation of composite functions
- 48If , then at is15 Apr, 2026 (E)T inverse T property
- 49The difference between the maximum and minimum values of the objective function , subject to the constraints , , , is15 Apr, 2026 (E)Linear Programming
- 50If , and , then the inverse of matrix B is15 Apr, 2026 (E)Product of Matrices
Physics
- 1In an LCR series circuit, at resonance,15 Apr, 2026 (E)AC Circuits
- 2The excess pressure inside the first soap bubble of radius is three times that inside the second soap bubble of radius . The ratio of volume15 Apr, 2026 (E)Surface tension
- 3The energy spectrum of a black body exhibits a maximum around a wavelength . The temperature of a black body is now changed such that the en15 Apr, 2026 (E)Radiation
- 4When open pipe is closed from one end then second overtone of closed pipe is higher in frequency by 100 Hz than first overtone of open pipe.15 Apr, 2026 (E)Organ Pipe (Vibration of Air Column)
- 5Two parallel plate air capacitors are connected in parallel. Each capacitor has plate area and separation between the plates is and respecti15 Apr, 2026 (E)Capacitance
- 6A thin ring of radius 'R' metre has charge 'q' coulomb uniformly spread on it. The ring rotates about its axis with a constant frequency of 15 Apr, 2026 (E)Magnetic Field
- 7In the hydrogen atom, radii of the first four Bohr orbits are related as15 Apr, 2026 (E)Bohr's Atomic Model
- 8A wire has mass gram, radius mm and length cm. The maximum error in the measurement of density is15 Apr, 2026 (E)Errors of Measurement
- 9A car of mass m is crossing the convex bridge of radius of curvature R with speed V. At the highest point the thrust is ( = gravitational ac15 Apr, 2026 (E)Non-uniform Circular Motion
- 10A pendulum clock is running slow, In order to correct it, we should15 Apr, 2026 (E)Applications of SHM
- 11Two solenoids A and B of equal number of turns have their lengths and radii in the same ratio . The ratio of the self-inductance of solenoid15 Apr, 2026 (E)Self and Mutual Inductance
- 12Let and are two non-zero vectors of different magnitude. Which one of the following is the correct equation ?15 Apr, 2026 (E)Addition and Subtraction of Vectors
- 13A point charge 'Q' is placed at the centre of the line joining two equal charges '+q' and '+q'. The value of 'Q' when the system is in equil15 Apr, 2026 (E)Electric Charge and Coulomb's law
- 14Three liquids have same surface tension and densities , and ( ). In three identical capillaries rise of liquid is same. The corresponding an15 Apr, 2026 (E)Surface tension
- 15The minimum phase difference between two simple harmonic motions is15 Apr, 2026 (E)Simple Harmonic Motion
- 16A series resonant circuit consists of an inductor 'L' and capacitor 'C' which produces resonant frequency 'f'. If 'L' is increased by '2L' a15 Apr, 2026 (E)AC Circuits
- 17In common emitter amplifier, a change of mA in the base current causes a change of mA in the collector current. If input resistance is k and15 Apr, 2026 (E)Junction Transistors
- 18In the phenomenon of refraction of light for the same angle of incidence15 Apr, 2026 (E)Refraction of light from plane surface
- 19Two concentric circular coils having radii and ( ) are placed co-axially with centres coinciding. The mutual inductance of the arrangement i15 Apr, 2026 (E)Self and Mutual Inductance
- 20In photoelectric effect experiment, if the frequency of incident radiation ( ) is increased, keeping all other factors constant, the stoppin15 Apr, 2026 (E)Photoelectric Effect
- 21A bucket containing water is revolved in vertical circle of radius r. To prevent the water from falling down, the period of revolution requi15 Apr, 2026 (E)Circular motion
- 22In case of perfectly elastic collision,15 Apr, 2026 (E)Collisions
- 23In the diagram shown, the resistance between points A and B is ' ' when an ideal diode D is forward biased and is ' ' when ideal diode D is 15 Apr, 2026 (E)Diodes
- 24Light of wavelength is incident on a single slit of width 'a' and the distance between slit and screen is 'D'. In diffraction pattern, if sl15 Apr, 2026 (E)Diffraction of Light
- 25A black rectangular surface of area A emits energy E per second at C. If length and breadth is reduced to half of initial value and temperat15 Apr, 2026 (E)Radiation
- 26A potentiometer wire is 4m long and potential difference of 2V is maintained between the ends. The e.m.f. of the cell which balances against15 Apr, 2026 (E)Electric Instruments
- 27The electron in hydrogen atom is initially in the second excited state. When it finally moves to ground state, the maximum number of spectra15 Apr, 2026 (E)Atomic Spectrum
- 28Capacitors of capacities and are connected in series. If the combination is connected to a supply of V volt then the potential difference ac15 Apr, 2026 (E)Grouping of capacitors
- 29The ratio of the thermal conductivity of two rods of different materials is 6:5. The two rods of same area of cross section and same thermal15 Apr, 2026 (E)Conduction
- 30An ideal gas is expanded adiabatically. How many times has the gas to be expanded to reduce the r.m.s. speed of molecules 3 times ? ( )15 Apr, 2026 (E)Speed of Gas
- 31When a metallic surface is illuminated with a radiation of wavelength ' ', the stopping potential is 'V'. If the same surface is illuminated15 Apr, 2026 (E)Photoelectric Effect
- 32For a uniformly charged plane sheet, the variation of electric field (E) with distance (d) is correctly shown graphically in graph15 Apr, 2026 (E)Electric Flux and Gauss Law
- 33A long wire is bent into a circular coil of one turn and then into a circular coil of smaller radius having n turns. If the same current is 15 Apr, 2026 (E)Magnetic Field
- 34To increase the frequency of transverse oscillations of a stretched string by 40%, the tension must be increased by15 Apr, 2026 (E)Vibration of String
- 35The distance of the two planets A and B from the sun are ' ' and ' ' respectively such that . The ratio of the speed of planet A to that of 15 Apr, 2026 (E)Motion of satellite
- 36A particle at rest starts moving with constant angular acceleration ' ' in a circular path of radius 'r'. At certain instant, the magnitude 15 Apr, 2026 (E)Uniform Circular Motion
- 37In a cyclic process, work done by the system is15 Apr, 2026 (E)Thermodynamic Processes
- 38In the logic circuit diagram, when all the four inputs, A, B, C, D are 'one' the outputs , , are respectively (1, 1, 0). When the inputs A a15 Apr, 2026 (E)Logic gates
- 39An iron rod is placed parallel to magnetic field intensity 1000 A/m. The magnetic flux through the rod is Wb and its cross-sectional area is15 Apr, 2026 (E)Magnetism and Properties of Magnet
- 40In metre bridge experiment, the resistance in the left gap is 15 and in the right gap is 45 . The bridge is balanced. The distance of the nu15 Apr, 2026 (E)Wheatstone Bridge
- 41A pipe open at both ends has a fundamental frequency 'f' in air. The pipe is dipped in water, so that length of pipe is in water, Now the fu15 Apr, 2026 (E)Organ Pipe (Vibration of Air Column)
- 42A batsman hits a ball with a velocity 'v', making an angle of with the vertical. After some time direction of velocity is making an angle of15 Apr, 2026 (E)Projectile motion
- 43A double slit experiment is immersed in water of refractive index . The slit separation is 1 mm, distance between slit and screen is m. The 15 Apr, 2026 (E)Youngs Double Slit Experiment
- 44A body of mass kg performs simple harmonic motion. It experiences a restoring force of N when its displacement from the mean position is 4 c15 Apr, 2026 (E)Simple Harmonic Motion
- 45The angle of minimum deviation produced by a thin prism in air is . What will be the minimum deviation ( ) if the prism is immersed in liqui15 Apr, 2026 (E)Prism and Dispersion of Light
- 46An electric lamp connected in series with a capacitor and an a.c source is glowing with certain brightness. On reducing the frequency of sou15 Apr, 2026 (E)AC Circuits
- 47The average translational kinetic energy of a molecule in a gas is . The kinetic energy of the electron (e) accelerated from rest through po15 Apr, 2026 (E)Pressure and Energy of gas
- 48A simple harmonic progressive wave is represented by . The distance between two points on the wave at a phase difference of radian is15 Apr, 2026 (E)Travelling Waves
- 49A charge moves in a circular path perpendicular to a magnetic field. The time period of revolution is independent of15 Apr, 2026 (E)Motion of Charged Particle in Magnetic Field
- 50A square frame of each side L is dipped in a soap solution and taken out, the force acting on the film formed is ( T = surface tension of so15 Apr, 2026 (E)Surface tension
Frequently Asked Questions
1.How many questions are in the MHTCET 2026 15th 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 15th April 2026 evening shift.
4.Where can I find the morning shift paper for the same date?
The MHTCET 2026 15th April Morning Shift paper is listed separately - you can switch to it from the "MHTCET Paper Wise PYQs" panel, under MHTCET 15th April 2026.
5.What is the structure of the MHTCET 2026 15th April Evening Shift paper?
The MHTCET 2026 15th 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.What is the difficulty level of the MHTCET 2026 15th April Evening Shift paper?
Each question on MARKS carries a difficulty rating. Of the 150 rated questions in this paper, 64 (43%) are easy, 84 (56%) are medium and 2 (1%) are hard. Subject wise:
- Chemistry: 36 easy, 14 medium, 0 hard
- Mathematics: 6 easy, 42 medium, 2 hard
- Physics: 22 easy, 28 medium, 0 hard
7.Which chapters had the most questions in the MHTCET 2026 15th April Evening Shift paper?
The chapters with the most questions in each subject were:
- Chemistry: Haloalkanes and Haloarenes (4), Alcohols Phenols and Ethers (3), and Biomolecules (3).
- Mathematics: Three Dimensional Geometry (5), Vector Algebra (5), and Application of Derivatives (4).
- Physics: Waves and Sound (4), Alternating Current (3), and Magnetic Effects of Current (3).
8.Where can I find the solutions for the MHTCET 2026 15th 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 2026 15th 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 2026 15th 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.