MHT CET 2026 May 20 Shift 1 PCM Question Paper- Download PDF with Solutions

MHT CET 2026 May 20 Shift 1 PCM Question Paper is available for download here. Maharashtra State CET Cell conducted MHT CET 2026 PCM Exam on May 20 in Shift 1 from 9 AM to 12 PM in CBT mode.

The MHT CET 2026 PCM Question Paper consists of 150 multiple-choice questions (MCQs) totalling 200 marks divided into 3 sections: Physics, Chemistry, and Mathematics, with 50 questions in each subject.
Physics and Chemistry questions carry 1 mark each while Mathematics questions carry 2 marks each.
There is no negative marking for incorrect answers.

Also Check: Expected Percentile for MHT CET PCM May 20 2026 Shift 1

Download MHT CET 2026 May 20 Shift 1 PCM Question Paper with Solutions PDF from the links provided below.

MHT CET 2026 May 20 Shift 1 PCM Question Paper PDF Download

MHT CET 2026 May 20 Shift 1 Question Paper	Download PDF	Check Solutions

Question 1:

In a certain culture of bacteria, the rate of increase is proportional to the number of bacteria present at that instant. It is found that there are 10,000 bacteria at the end of 3 hours and 40,000 bacteria at the end of 5 hours, then the number of bacteria present in the beginning are:

(A) 1250
(B) 1200
(C) 1350
(D) 1300

View Solution

Question 2:

The value of \[ \int \frac{x^2-1}{x^3\sqrt{2x^4-2x^2+1}}\,dx \]
is:

(A) $ \sqrt{2-\frac{2}{x^2}+\frac{1}{x^4}}+C $
(B) $ 2\sqrt{2-\frac{2}{x^2}+\frac{1}{x^4}}+C $
(C) $ \frac{1}{2}\sqrt{2-\frac{2}{x^2}+\frac{1}{x^4}}+C $
(D) $ \frac{1}{4}\sqrt{2-\frac{2}{x^2}-\frac{1}{x^4}}+C $

View Solution

Question 3:

The area bounded by the X-axis and the curve \[ y=x(x-2)(x+1) \]
is:

(A) $\dfrac{37}{12}$ sq. units
(B) $\dfrac{27}{12}$ sq. units
(C) $\dfrac{37}{4}$ sq. units
(D) $\dfrac{27}{13}$ sq. units

View Solution

Question 4:

\[ \int \frac{1}{x^{1/2}+x^{1/3}}\,dx \]
is equal to:

(A) $ \sqrt{x}-\sqrt[3]{x}+\sqrt[6]{x}-\log|x^{1/6}+1|+C $
(B) $ 2\sqrt{x}-3\sqrt[3]{x}+6\sqrt[6]{x}-6\log|x^{1/6}+1|+C $
(C) $ 2\sqrt{x}+3\sqrt[3]{x}+6\sqrt[6]{x}+6\log|x^{1/6}+1|+C $
(D) $ \sqrt{x}+\sqrt[3]{x}+\sqrt[6]{x}+\log|x^{1/6}+1|+C $

View Solution

Question 5:

A wire 64 m long is bent into the shape of a rectangle. What should be its dimensions so that the enclosed area is maximum?

(A) $16 m, 16 m$
(B) $18 m, 18 m$
(C) $24 m, 24 m$
(D) $36 m, 36 m$

View Solution

Question 6:

$ \displaystyle \lim_{x \to 2} \left( \frac{1}{x-2} - \frac{2}{x^3-3x^2+2x} \right) = $

(A) $ \frac{2}{3} $
(B) $ -\frac{2}{3} $
(C) $ \frac{3}{2} $
(D) $ -\frac{3}{2} $

View Solution

Question 7:

If slope of two lines represented by $ \dfrac{x^2}{a}+\dfrac{2xy}{h}+\dfrac{y^2}{b}=0 $ is twice the other, then $ab:h^2=\ ?$

(A) $1:2$
(B) $2:1$
(C) $8:9$
(D) $9:8$

View Solution

Question 8:

If $A$ is a $3\times3$ matrix satisfying $2A=3A^2+kI$, and $\det(A)=1$, then the value of $k$ is:

(A) $-1$
(B) $1$
(C) $-\dfrac13$
(D) $\dfrac13$

View Solution

Question 9:

If the area enclosed between the circle $x^2+y^2=25$ and the parabola $y^2=16x$ is $A$, then $A=\ ?$

(A) $25\pi-96$
(B) $50\pi-96$
(C) $25\pi-48$
(D) $50\pi-48$

View Solution

Question 10:

If $ \vec{a}=2\hat{i}-\hat{j}+3\hat{k} $ and $ \vec{b}=\hat{i}+2\hat{j}-\hat{k} $, then the vector perpendicular to both $ \vec a $ and $ \vec b $ is:

(A) $ -5\hat{i}+5\hat{j}+5\hat{k} $
(B) $ -5\hat{i}+5\hat{j}-5\hat{k} $
(C) $ 5\hat{i}+5\hat{j}+5\hat{k} $
(D) $ -5\hat{i}-5\hat{j}+5\hat{k} $

View Solution

MHT CET PCM Exam Pattern 2026

Parameter	Details
Conducting Body	Maharashtra Common Entrance Test Cell (Maharashtra CET Cell)
Exam Mode	Online (Computer-Based Test)
Duration	180 minutes (3 hours)
Groups / Subjects	PCM (Physics, Chemistry, Mathematics) for Engineering
Total Questions	150
Total Marks	200
Question Type	Multiple Choice Questions (MCQs)
Marks Distribution	Mathematics – 2 marks/question Physics and Chemistry – 1 mark/question
Negative Marking	No
Syllabus Weightage	Class 12 – 80% Class 11 – 20%

MHT-CET 2026 Paper Analysis

MHT CET Questions

1.
The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its centre and perpendicular to its length is:

$ML^2/3$
$ML^2/12$
$ML^2/6$
$ML^2/2$

View Solution

2.
\[ \int \frac{1}{x^{1/2}+x^{1/3}}\,dx \] is equal to:

$ \sqrt{x}-\sqrt[3]{x}+\sqrt[6]{x}-\log|x^{1/6}+1|+C $
$ 2\sqrt{x}-3\sqrt[3]{x}+6\sqrt[6]{x}-6\log|x^{1/6}+1|+C $
$ 2\sqrt{x}+3\sqrt[3]{x}+6\sqrt[6]{x}+6\log|x^{1/6}+1|+C $
$ \sqrt{x}+\sqrt[3]{x}+\sqrt[6]{x}+\log|x^{1/6}+1|+C $

View Solution

3.
What happens to the resistance of a wire if its radius is halved?

It becomes half
It becomes double
It increases 4 times
It increases 16 times

View Solution

4.
The solubility product of $PbCl_2$ at $298\ \text{K}$ is $3.2 \times 10^{-5}$. What is its solubility in $\text{mol dm}^{-3}$?

$8 \times 10^{-6}$
$2 \times 10^{-2}$
$5.6 \times 10^{-3}$
$5 \times 10^{-2}$

View Solution

5.
The ratio of specific heats $C_{p}/C_{v}$ for a mixture of 1 mole of helium and 1 mole of hydrogen is:

1.5
1.67
1.4
1.33

View Solution

6.
Let $f(x)$ be defined by: \[ f(x)= \begin{cases} \displaystyle \int_x^6 (|t-2|+3)\,dt, & x>4 2x+8, & x\le4 \end{cases} \] Then at $x=4$, $f(x)$ is:

Continuous but not differentiable
Differentiable
Discontinuous
None of these

View Solution

MHT CET 2026 May 20 Shift 1 PCM Question Paper- Download PDF with Solutions

MHT CET 2026 May 20 Shift 1 PCM Question Paper PDF Download

MHT CET PCM Exam Pattern 2026

MHT-CET 2026 Paper Analysis

MHT CET Questions

1.
The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its centre and perpendicular to its length is:

2.
\[ \int \frac{1}{x^{1/2}+x^{1/3}}\,dx \] is equal to:

3.
What happens to the resistance of a wire if its radius is halved?

4.
The solubility product of \(PbCl_2\) at \(298\ \text{K}\) is \(3.2 \times 10^{-5}\). What is its solubility in \(\text{mol dm}^{-3}\)?

5.
The ratio of specific heats $C_{p}/C_{v}$ for a mixture of 1 mole of helium and 1 mole of hydrogen is:

6.
Let \(f(x)\) be defined by: \[ f(x)= \begin{cases} \displaystyle \int_x^6 (|t-2|+3)\,dt, & x>4 2x+8, & x\le4 \end{cases} \] Then at \(x=4\), \(f(x)\) is:

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MHT CET 2026 May 20 Shift 1 PCM Question Paper PDF Download

MHT CET PCM Exam Pattern 2026

MHT-CET 2026 Paper Analysis

MHT CET Questions

1.The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its centre and perpendicular to its length is:

2. \[ \int \frac{1}{x^{1/2}+x^{1/3}}\,dx \] is equal to:

3.What happens to the resistance of a wire if its radius is halved?

4.The solubility product of \(PbCl_2\) at \(298\ \text{K}\) is \(3.2 \times 10^{-5}\). What is its solubility in \(\text{mol dm}^{-3}\)?

5.The ratio of specific heats $C_{p}/C_{v}$ for a mixture of 1 mole of helium and 1 mole of hydrogen is:

6.Let \(f(x)\) be defined by: \[ f(x)= \begin{cases} \displaystyle \int_x^6 (|t-2|+3)\,dt, & x>4 2x+8, & x\le4 \end{cases} \] Then at \(x=4\), \(f(x)\) is:

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1.
The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its centre and perpendicular to its length is:

2.
\[ \int \frac{1}{x^{1/2}+x^{1/3}}\,dx \] is equal to:

3.
What happens to the resistance of a wire if its radius is halved?

4.
The solubility product of \(PbCl_2\) at \(298\ \text{K}\) is \(3.2 \times 10^{-5}\). What is its solubility in \(\text{mol dm}^{-3}\)?

5.
The ratio of specific heats $C_{p}/C_{v}$ for a mixture of 1 mole of helium and 1 mole of hydrogen is:

6.
Let \(f(x)\) be defined by: \[ f(x)= \begin{cases} \displaystyle \int_x^6 (|t-2|+3)\,dt, & x>4 2x+8, & x\le4 \end{cases} \] Then at \(x=4\), \(f(x)\) is: