MHT CET Exam 14 May 2023 Question Paper & Answer Key

MHT CET is a state-level entrance exam in Maharashtra for admission to engineering, pharmacy, and agriculture undergraduate courses. MHT CET 2023 has 3 question papers. The first paper is Mathematics, the second combines Physics and Chemistry, and the third is Biology. Candidates who want to join the Engineering course must take Papers 1 and 2. Aspirants of Pharmacy courses should take Papers 2 and 3.

MHT-CET Exam 2023

• Exam Name = Maharashtra Common Entrance Test or MHT CET
• Conducting Body = Maharashtra State Common Entrance Test Cell
• Application Date = February-March 2023
• MHT CET PCM Exam = 9 May- 13 May 2023
• MHT CET PCB Exam = 15 May- 20 May 2023
• No. of Papers = Paper 1 (Mathematics) , Paper 2 (Physics and Chemistry) , Paper 3 (Biology)
• Total Marks = 100 Marks for each paper
• Total time = 90 Minutes for each paper
• Official Website = Click Here

MHT CET Exam 14 May 2023 Question Paper & Answer Key

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.

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.

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.

MHT CET 14 May 2023 Shift 1 Question Paper with Answer Key Video Solutions