MHT CET Question Paper 11 May 2023 (Available): Memory-based Questions PDF Download with Solutions

MHT CET Question Paper 11 May 2023: Today is the third day of the MHT CET 2023 PCM exam, conducted by the State Cell, Maharashtra. As per the exam schedule, MHT CET exam is held in two shifts, the first shift was held from 9 am to 12 pm; whereas the second shift will be conducted from 2 pm to 5 pm. Since the exam is online (a computer-based exam), the question paper will not be available in hand. In turn, memory-based questions will be shared here after the conclusion of each shift.

MHT CET 11 May Questions Submission

If the candidates have appeared for the MHT CET 11 May 2023 exam, then they can submit the shift-wise question paper here:

MHT CET Question Paper May 11 Shift 1 2023

The memory-based questions for shift 1 are being updated here:

Mathematics

• 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) = 2^x + 2^y = 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^-1x)/(1 + sin^-1x)] then find f'(y) = x = 0 and y = 1.
• If y = log_sinxtanx 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^-12) + cosec²(cot^-13) = ?
• f(x) = x e^{x(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 differential equation dy/dx = (1 + y²)/(1 + x²).
• If ∫ dx / ( x (1 - x³)^1/2) = k log [ (1 - x³ - 1)^1/2/(1 - x³ + 1)^1/2 ], then find k. 
• The angle between two lines represented by x² + mx + y²tan²θ 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

Physics

• 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

• 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.

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As per the MHT CET exam pattern, the candidates will have to answer a total of 150 questions of 200 marks. The type of questions will be multiple choice based. The candidates will be asked questions from Physics, Chemistry, and Mathematics. Candidates can also go through the MHT CET marking scheme here-

• Candidates will get 1 mark for each correct answer in the Physics and Chemistry section
• The students will get 2 marks for every correct answer
• No negative marking is there for the incorrectly marked answer

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