MHT CET Question Paper 10 May 2023 (Available): Shift 1, 2 Memory-based Questions with Solutions PDF

MHT CET Question Paper 10 May 2023: Day 2 of MHT CET 2023 has been conducted on May 10, the shift 1 and 2 memory-based questions with solutions are being added here. There are a total of 150 questions in MHT CET 2023 question paper, divided equally into three subjects. Physics and Chemistry have 1 mark per question while Mathematics has 2 marks per question. Candidates who are scheduled to appear for the upcoming shifts may refer to the following questions as practice. The question paper analysis may also be referred to so as to understand the expected difficulty level of the paper.

Also read | MHT CET Question Paper 2023 PCM Live

MHT CET 10 May 2023 Questions Submission

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MHT CET Question Paper 10 May 2023 Shift 1

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^-1x + tan^-16x = 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 - x²)^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 - x²)^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 appears, Rs 2 if one head appears, and Rs 1 if no head appears. Find variance.

Physics

• Questions were from wave optics, rotational dynamics, KTG, current electricity, magnetism, etc.
• To be updated

Chemistry

• 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 (any one).
• 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.

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MHT CET Question Paper 10 May 2023 Shift 2

Mathematics

• Find the differential equation of all circles passing through the origin and having their centres on the x-axis.
• ∫e^x (1 - cotx + cot²x) dx = ?
• If x = 3tant and y = 3 sect, then find d²y/dx².
• ∫₀¹ cos^-1x 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 sin³x wrt acos³x, then find f''(x).
• The sum of mean and variance of a given set is 15/2 and their number of trials is 10, then find the value of variance.

Physics

• 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

• 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?

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