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Aryaman Sharma

| Updated On - May 29, 2026

The State Common Entrance Test Cell, Maharashtra conducted MHT CET 2026 May 21 Shift 2 PCM from 2 PM to 5 PM in CBT Mode. The MHT CET 2026 today’s question paper included three sections: Physics, Chemistry, and Mathematics with multiple-choice questions carrying a total of 200 marks, as per the MHT CET marking scheme, where 1 mark is awarded for every correct answer and no marks are deducted for wrong answers.

MHT CET 2026 May 21 Shift 2 PCM Question Paper with Solution Pdf is available here for download.

MHT CET 2026 May 21 Shift 2 PCM Question Paper with Solution PDF

MHT CET 2026 May 21 Shift 2 Question Paper Download PDF Check Solutions

Question 1:

If \( y = y(x) \) satisfies the differential equation \[ \left( \frac{2 + \sin x}{1 + y} \right) \frac{dy}{dx} = -\cos x \] and \( y(0) = 2 \), then \( y\left(\frac{\pi}{2}\right) \) is equal to:

  • (A) 3
  • (B) 4
  • (C) 2
  • (D) 1

Question 2:

The ratio of areas bounded by the curves \( y = \cos x \) and \( y = \cos 2x \) between \( x = 0, x = \frac{\pi}{3} \) and the \( x \)-axis is:

  • (A) 2 : 1
  • (B) 1 : 2
  • (C) 1 : 1
  • (D) 1 : 3

Question 3:

If \( (2 + \sin x) \frac{dy}{dx} + (y + 1) \cos x = 0 \) and \( y(0) = 1 \), then find the value of \( y\left(\frac{\pi}{2}\right) \).

  • (A) \( -\frac{2}{3} \)
  • (B) \( -\frac{1}{3} \)
  • (C) \( \frac{4}{3} \)
  • (D) \( \frac{1}{3} \)

Question 4:

If \( \left( \frac{2 + \sin x}{1 + y} \right) \frac{dy}{dx} = -\cos x \) and \( y(0) = 2 \), then find the value of \( y\left(\frac{\pi}{2}\right) \).

  • (A) 3
  • (B) 4
  • (C) 2
  • (D) 1

Question 5:

If \( (2 + \sin x) \frac{dy}{dx} + (y + 1) \cos x = 0 \) and \( y(0) = 1 \), then \( y\left(\frac{\pi}{2}\right) \) is equal to:

  • (A) \( -\frac{2}{3} \)
  • (B) \( -\frac{1}{3} \)
  • (C) \( \frac{4}{3} \)
  • (D) \( \frac{1}{3} \)

Question 6:

Solve for \( x \): \[ x + \log_{15}(5 + 3^x) = x \log_{15} 5 + \log_{15} 24 \]

  • (A) 2
  • (B) 1
  • (C) 5
  • (D) 8

Question 7:

For \( n \in \mathbb{N} \), if \( y = ax^{n+1} + bx^{-n} \), then \( x^2 \frac{d^2y}{dx^2} \) is equal to:

  • (A) \( (n - 1)y \)
  • (B) \( n(n - 1)y \)
  • (C) \( n(n + 1)y \)
  • (D) \( (n + 1)y \)

Question 8:

Solve for \( x \): \[ x + \log_{15}(5 + 3^x) = x \log_{15} 5 + \log_{15} 24 \]

  • (A) 2
  • (B) 1
  • (C) 5
  • (D) 8

Question 9:

For \( n \in \mathbb{N} \), if \( y = ax^{n+1} + bx^{-n} \), then \( x^2 \frac{d^2y}{dx^2} \) is equal to:

  • (A) \( (n - 1)y \)
  • (B) \( n(n - 1)y \)
  • (C) \( n(n + 1)y \)
  • (D) \( (n + 1)y \)

Question 10:

Let \[ f(x) = \int_1^4 \log[x] dx \] where \( [x] \) denotes the greatest integer function. Then the value of \( f(x) \) is:

  • (A) log 2
  • (B) log 3
  • (C) log 5
  • (D) log 6

MHT CET 2026 2nd Attempt Paper Analysis

*The article might have information for the previous academic years, please refer the official website of the exam.

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