MHT-CET 2023 Question Paper PDF with Solutions and Answer Key PDF

MHT CET Question Paper 2023

MHT CET 2023 Question Paper PDF is released by CET Cell Maharashtra on the official website at cetcell.mahacet.org. Candidates can download the PDF in online mode. The MHT CET Question Paper 2023 consisted of 50 questions each in Physics and Chemistry and 100 questions in Mathematics and Biology. Each question carries a weightage of 1 to 2 marks and there is no negative marking. MHT CET 2023 PCM Question Paper is at par with JEE Main while MHT CET 2023 PCB Question Paper is at par with NEET. Candidates planning to appear for MHT CET 2025 can solve the question paper of MHT CET  to know the type of questions asked in the exam. We have provided the MHT CET 2023 Question Paper PDF with Solutions and Answer Key PDF here.

Direct Link: MHT CET 2025 Registration (Active)

The MHT CET 2023 exam was conducted from May 9 to 20, 2023. The first shift exam was held from 9 am to 12 pm whereas the second shift was conducted from 2 pm to 5 pm. A total of 5,91,30 candidates appeared for the MHT CET 2023 exam. The MHT CET 2023 exam was conducted for 180 minutes in which candidates had to answer 150 multiple-choice questions. Candidates can check the section below for the day and shift-wise MHT CET 2023 questions and answers.

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Latest Updates

The Maharashtra Common Entrance Test Cell closed the application window for registration and correction on February 27, 2025. However, the candidates were allowed to pay the application form fee until February 28, 2025. Candidates were allowed to make corrections to the application form in the limited sections: Name, Date of Birth, Photograph, Signature, and Gender. According to the official schedule, MHT CET 2025 will be conducted from April 19 to 27, 2025 for the PCM group and the PCB group exam will be held from April 9 to 17, 2025.

MHT CET 2023 Question Paper PDF

The table below consists of the MHT CET Question Paper 2023 PDF based on different shifts.

MHT CET 2023 Question Paper Analysis

The MHT CET 2023 exam was conducted from May 9 to 20, 2023, with two daily shifts: the first from 9 AM to 12 PM and the second from 2 PM to 5 PM. A total of 5,91,130 candidates appeared for the 180-minute exam, which consisted of 150 multiple-choice questions. Candidates can access the day and shift-wise questions and answers for MHT CET 2023 in the dedicated section below.

MHT CET Question Paper 2023 with Answers

The MHT CET Question Paper 2023 helps candidates to be aware of the questions that are asked in the MHT CET exam. Candidates can check the sections below to learn about the questions asked in the MHT CET exam.

9 MAY 2023 SHIFT 1

Physics Questions

• Find the change in the charge carriers of a p-n junction diode if its temperature is increased. 
• Find the fringe width for the given double-slit experiment. 
• Find the height of a conical pendulum if the time period is given. 
• Find the internal electric field of a charged sphere. 
• Find the kinetic energy of a given molecule in terms of PV. 
• Find the ratio of the angular momentum of the minute hand and the second hand of a clock. 
• Find the relation between the kinetic energy of rotational motion and the angular momentum of a particle. •
• Identify the correct graph depicting pressure vs volume relationship at constant temperature.
• If at the surface of the earth, the weight of a body is 300 N, then find the same at a depth R/2 below the surface of the earth. (R = radius of earth). 
• If the height of a capillary tube is increased from h to H while keeping its volume the same, then what will be the new radius?
• If two inductors are kept next to each other as shown in the diagram given, which of the following will be true? o i. They are loose bound o ii. They are tight bound o iii. They have self-inductance o iv. None of these
• Of the given options, find the quantity with which the total energy of a simple harmonic motion is directly proportional. 
• There was a theory question on Plane Wavefront. • What is the correct condition for an LCR circuit to be at resonance?

ChemistryQuestions

• Find the packing efficiency of silver metal. Answer: 74% 
• In the Contact Process, which metal cata Identify the homopolymers from the given options. Answer: neoprene
• Identify the element with the following electronic configuration: 1s21p4
• Identify the graph of a first-order reaction (concentration vs rate). 
• What is the value of the specific rotation of the glucose molecule? Answer: +52.2 
• Which material is the most suitable for manufacturing an electromagnetic substance? Answer: iron
• What is the correct expression for enthalpy? Answer: H = E+ PV
• What is bond energy? Answer: Bond enthalpy is defined as the amount of energy required to break one mole of band of one type, present between two atoms in a gaseous state. 
• Which device is used to measure atmospheric pressure? Answer: barometerWhich monomer is used for the synthesis of Teflon? Answer: tetrafluoroethylene monomer • What is the magnetic moment of Cr+2? Answer: 4.90 BM
• What is the oxidation number of Scandium? Answer: +3
• A question on Packing efficiency. • A question on Dry Cell - Reduction. Answer: MnO2
• What catalyst is used in the conversion of Alkyl Halide to Alkyl Nitrate? Answer: R-X +KO-N=0R-O-N=0 + KX
• Which thermodynamic process exchanges heat with the system and surrounding? Answer: adiabatic process 
• Which of the following compounds is not a gel? Answer: milk
•  Pka was given find pH. Answer: pH = pKa + log(A) / (HA)
•  Find the number of atoms in one mole of simple cubic structure. Answer: one 
• A and B are atoms, A occupies corners of cube and B occupies wach face of cube, what is the molecular formula of structure? Answer: AB3 
• Elevation in boiling point is given, find molality. Answer: ∆Tb = kb × m 
• ΔU and W is given, find H. Answer: ∆ H = ∆U + W
• Magnetic dipole in Sc+2. Answer: 1.73 

Mathematics Questions

• Find the differentiation of cot-1 ((3 + 4tanx)/(4 - 3tanx))
• Statements p and q were given and it was stated that p → p ∧ ~q is false, then identify the true statement.
• Find [(f(x+h) - f(x-h))/h].

MAY 9, 2023 SHIFT 2

Physics Questions

• At the pure inductive stage, find emax. 
• Current unit conversion from SI to CGI. 
• In a satellite, if the time of revolution is T, then its K.E. is proportional to?
• What is a photodiode device used for? 

Chemistry Questions

• What is the IUPAC name of propylene glycol? 
• Identify trisaccharide from the given options. 
• Find the ratio of the t0 and t for a first-order reaction.
• Find the number of electron bonds in H2SO4.
• If Bromopropane and Bromomethane were treated with sodium and ether, then what is the product? 
• Which one of these is homopolymer? 
• ∆H and ∆ S were given, find ∆G (Gibbs energy).
• What is the oxidation number of nitrogen? 
• What is bond enthalpy?
• In the absence of intermolecular forces of attraction, what will be the observed pressure? 
• What is the degree of freedom for a polyatomic gas? 
• What is the mean energy of a molecule of an ideal gas? 

Mathematics Questions

• ∫ (cos √x) dx = ? 
• Find the approximate value of (25.2)1/2. 
• ∫ sin2x cos2x dx = ? 
• Find the equivalent of p ∧ ( q v r ) v ~ ( r ∧ ~ ( p ∧ q ) ). 
• Two lines 2x = 3y = -z and 6x = -y = -4z intersect at a point, then find the angle between them. • tan-1[(1 - sinx + cosx)/(1 + sinx - cosx)] = ?

10 MAY 2023 SHIFT 1

Chemistry Questions 

• Find bond order: N2 + , N2 - , N2 +2, CO
• Arrange the given molecules in increasing order of their acidic strength. 
• Which of the following is a biodegradable polymer?
• Find the density of a given molecule (solid-state).
• Which of the following is the correct representation of the Haber process?
• Identify the one differentiating characteristic between the Homoleptic complex and the Heteroleptic complex.
• Identify the product question on Sandmeyer/Gattermann/Balz-Schiemann reactions (anyone).
• Match the type of linkage with their respective compound.
• Find the EAN of [Co(NH3)6] 2+ .
• If the initial volume of gas is 3 dm3 at T = 300K. At constant temperature, if the volume is doubled, then find the new pressure. 
• Find molarity for the given conditions. MATHEMATICS
• Find the coordinates of the point where the line through A (9, 4, 1) and B (5, 1, 6) crosses X axis.
• What is the number of solutions of tanx + secx = 2 cosx if x belongs to (0, 2π)?
• Three vectors a, b and c are given. Find the equation of a vector that lies in the plane of vector a and vector b and whose projection on vector c is 1/√3. Find the general solution of the differential equation: cosx (1 + cosy) dx - siny (1 + sinx) dy = 0 
• Considering only the principal value of an inverse function, the set: A= { x ≥ 0, tan-1 x + tan-1 6x = π/4}, then A is... i. an empty set ii. a singleton set iii. consists of two elements iv. contains more than two elements 
• Find k if ∫0 1/2 [ x2 dx / (1 - x 2 ) 3/2 ] = k/6. 
• If ∫0 π/2 log(cosx) dx = π/2 (log(1/2)), then find ∫0 π/2 log(secx) dx.
• If ax + by + c = 0 is normal to xy = 1, then determine if a and b are less than, greater than, or equal to zero.
• If a matrix A = [ (1 m 2) (1 2 2) (1 3 3)] is adjoint of matrix B and | B | = 5, then find the value of m. 
• f(x) = 2x - 3, g(x) = x3 + 5, then find [fog]-1 (-9) = ? Out of five siblings, what is the probability that the eldest and youngest children have the same gender? 
• ∫ (1/(sinx + cosx)) dx = ? 
• Find θ if sinθ + sin4θ + sin7θ = 0 and θ belongs to (0, π). 
• Find the area bounded by the curve y = (49 - x 2 ) 1/2 and x-axis. 
• A (2,1,0), B (4,1,1), C (5,0,1), and P (2,1,6) are four given points, then find the image of P in plane ABC.
• When two coins are tossed, a person wins Rs 5 if two heads appear, Rs 2 if one head appears, and Rs 1 if no head appears. Find variance.

10 MAY 2023 SHIFT 2

Physics Questions 

• The radius of a cylinder is increasing at the rate 2 cm/sec and its height is decreasing at the rate 3 cm/sec, then find the rate of change of volume when the radius is 3cm and the height is 5 cm. 
• The area spherical balloon of radius 6 cm increases at the rate of 2 then find the rate of increase in the volume. 
•  Find the surface tension at critical velocity

Chemistry Questions 

• In a certain culture of bacteria the rate of increase is proportional to the no.of bacteria present at that instant it is found that there are 10000 bacteria present in 3 hours and 40000 bacteria at the 5 hours the number of bacteria present in the beginning is? 
• Edge length of a unit cell of a crystal is 288 pm. If its density is 7.2 g/cm3 , then determine the type of unit cell assuming mass = 52 g. 
• For the given conditions, calculate the osmotic pressure. 
• A question was on PV = nRT equation. 
• A question was on Gatterman-Koch's reaction.
• Identify allylic halide and vinylic halide.
• Calculate the percentage dissociation under the given conditions. 
• Which of the following is an example of an ionic solid?
• What type of bonds are present in molecular crystals? • For a BCC structure, if a = 351 pm, find r. 
• Lithium forms a BCC structure having an edge length of a unit cell 351 pm, then find the atomic radius of lithium. 
• What is the unit of Henry's law constant? 

Mathematics Questions

• Find the differential equation of all circles passing through the origin and having their centres on the x-axis. 
• ∫ex (1 - cotx + cot2 x) dx = ?  If x = 3tant and y = 3 sect, then find d2 y/dx2 . 
• ∫0 1 cos-1 x dx = ? • ∫ (x2 - 1)dx/(x3 (2x4 - 2x2 1)1/2) = ? 
• Find the general solution of the given differential equation. 
• ∫0 π (xtanx) dx/(secx + cosx) = ?
• If f(x) = derivative of a sin3 x wrt acos3 x, then find f''(x). 
• The sum of the mean and variance of a given set is 15/2 and their number of trials is 10, then find the value of variance.

11 MAY 2023 SHIFT 1

Physics Questions

• Find dissociation constant.
• What remains constant in an adiabatic process? 
• Find the change in pressure if the volume is reduced by 32%. Assume γ = 5/3. 
• Find L0/L1 for an open organ pipe. 
• There was a question on the Balmer series. 
• Calculate the image distance for the given object. 
• Find the potential energy of charge q under given circumstances.

Chemistry Questions

• Why is the Heisenberg reagent used? 
• A question on Stephan's reaction was asked.
• Arrange the compounds in the increasing order of their ionic strength. 
• Calculate BCC radius. 
• Calculate spin magnetic moment. 
• Calculate conductivity. 
• How to (or which reaction is used to) prepare carboxylic acid? 
• A question was on crossed cannizaro reaction.
• There were two questions on IUPAC naming. 
• Identify the structure of gamahexene. 

Mathematic Questions

• If (x + iy)1/3 = a + ib, then find x/a + y/b. 
• Find the area bounded by the region y = x2 and y = |x|. 
• ∫ [(ex (x + 1)) / (cos2 (xe-x )] dx = ?If y(x) = 2x + 2y = 2. then find the domain of x. 
• If a = i + j and b = 2i - k, then find the point of the intersection of the lines r x a = b x a and r x b = a x b. 
• f(y) = [(1 - sin-1 x)/(1 + sin-1 x)] then find f'(y) = x = 0 and y = 1. 
• If y = logsinxtanx then find dy/dx at x = π/4. 
• In a lot of 20 bulbs, there are 6 defective bulbs. If two bulbs are drawn at random without replacement, what is the probability that it will be a defective bulb? 
• Find the number of common tangents for two given circles. 
• sec2 (tan-1 2) + cosec2 (cot-1 3) = ? 
•  f(x) = x ex(1 - x) and x belongs to IR, then find if f(x) is increasing or decreasing wrt to the given options. 
• ∫ log cot(cotx) dx / sin2x = ? 
• f(x) = ∫ √x / (1 + x2 ) then find f(3) - f(1) = ? 
• Find the solution of the differential equation dy/dx = (1 + y2 )/(1 + x2 ). 
• If ∫ dx / ( x (1 - x 3 ) 1/2) = k log [ (1 - x 3 - 1)1/2/(1 - x 3 + 1)1/2 ], then find k. 
• The angle between two lines represented by x2 + mx + y2 tan2 θ is 2θ. the value of m. 
• Find the direction cosines of the given lines. 
• Find the vector equation of line 2x + 4 = 3y + 1 = 6z - 3.
• ∫ [ 1 / (4 + 3cosx)] dx = ?
• How many of the total triangles will be equilateral triangles if any 3 vertices of a regular hexagon are joined randomly? Answer: 1/10 
• A Matrix question, related to adjoint, determinant, etc. and of the elements of the matrix was Alpha, and the other values were given, including the values of the determinant and the adjoint of the matrix. Find the value of the alpha. Answer: 5