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

MHT CET 2026 April 20 Shift 1 PCM Question Paper is available for download here. Maharashtra State CET Cell conducted MHT CET 2026 PCM Exam on April 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.

Download MHT CET 2026 April 20 Shift 1 PCM Question Paper with Solutions PDF from the links provided below. Based on initital student reactions, MHT CET 2026 April 20 Shift 1 PCM Paper was of Moderate level.

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

MHT CET 2026 April 20 Shift 1 Question Paper	Download PDF	Check Solution

MHT CET 2026 April 20 Shift 1 Question Paper with Solutions

Question 1:

If the vectors $2\hat{i}-\hat{j}+\hat{k}$, $\hat{i}+2\hat{j}-3\hat{k}$ and $3\hat{i}+a\hat{j}+5\hat{k}$ are coplanar, find the value of $a$.

(A) $4$
(B) $-4$
(C) $2$
(D) $-2$

View Solution

Question 2:

Find the area of the region bounded by the curve $y^2 = 8x$ and the line $x = 2$.

(A) $ \frac{28}{3} $ sq. units
(B) $ \frac{32}{3} $ sq. units
(C) $ \frac{16}{3} $ sq. units
(D) $ \frac{20}{3} $ sq. units

View Solution

Question 3:

Solve the differential equation $ \frac{dy}{dx} = \frac{1+y^2}{1+x^2} $ given $y(0)=1$.

(A) $ \tan^{-1}y = \tan^{-1}x + \frac{\pi}{6} $
(B) $ \tan^{-1}y = \tan^{-1}x + \frac{\pi}{4} $
(C) $ \tan^{-1}y = \tan^{-1}x + \frac{\pi}{3} $
(D) $ \tan^{-1}y = \tan^{-1}x + \frac{\pi}{2} $

View Solution

Question 4:

In a Binomial distribution with $n=10$ and $p=0.4$, find the variance.

(A) $2.0$
(B) $2.4$
(C) $4.0$
(D) $3.2$

View Solution

Question 5:

Find the direction cosines of a line that makes equal angles with the coordinate axes.

(A) $ \pm \frac{1}{\sqrt{2}}, \pm \frac{1}{\sqrt{2}}, 0 $
(B) $ \pm \frac{1}{\sqrt{3}}, \pm \frac{1}{\sqrt{3}}, \pm \frac{1}{\sqrt{3}} $
(C) $ \pm \frac{1}{2}, \pm \frac{1}{2}, \pm \frac{1}{2} $
(D) $ \pm 1, 0, 0 $

View Solution

Question 6:

Calculate the de Broglie wavelength of an electron accelerated through a potential of $100\,V$.

(A) $1.227\,Å$
(B) $0.612\,Å$
(C) $2.45\,Å$
(D) $3.12\,Å$

View Solution

Question 7:

A Carnot engine works between $600\,K$ and $300\,K$. Find its efficiency.

(A) $25%$
(B) $40%$
(C) $50%$
(D) $60%$

View Solution

Question 8:

Calculate the energy stored in a $10\,\mu F$ capacitor charged to $50\,V$.

(A) $0.025\,J$
(B) $0.0125\,J$
(C) $0.05\,J$
(D) $0.1\,J$

View Solution

Question 9:

Find the moment of inertia of a uniform ring of mass $M$ and radius $R$ about a tangent perpendicular to its plane.

(A) $MR^2$
(B) $2MR^2$
(C) $3MR^2$
(D) $4MR^2$

View Solution

Question 10:

What is the major product when 2-bromopentane reacts with alcoholic KOH?

(A) Pent-1-ene
(B) Pent-2-ene
(C) Pentanol
(D) Pentanal

View Solution

Question 11:

How many atoms are present in a unit cell of a body-centered cubic (BCC) lattice?

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

View Solution

Question 12:

Which reagent is used in the Lucas test to distinguish alcohols?

(A) $ ZnCl_2 + HCl $
(B) $ KMnO_4 $
(C) $ NaOH $
(D) $ H_2SO_4 $

View Solution

Question 13:

Calculate the osmotic pressure of $0.1\,M$ glucose at $27^\circ C$.

(A) $1.23\ atm$
(B) $2.46\ atm$
(C) $4.92\ atm$
(D) $0.82\ atm$

View Solution

Question 14:

What is the hybridization of the central sulfur atom in $SF_6$?

(A) $sp^3$
(B) $sp^3d$
(C) $sp^3d^2$
(D) $sp^2$

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 Exam Strategy

MHT CET Questions

1.
If $ \sin x \cos x = \frac{1}{4} $, then the general solution is:

$ \dfrac{n\pi}{2} + (-1)^n \dfrac{\pi}{12} $
$ \dfrac{n\pi}{2} + \dfrac{\pi}{4} $
$ n\pi \pm \dfrac{\pi}{6} $
$ \dfrac{n\pi}{2} + (-1)^n \dfrac{\pi}{6} $

View Solution

2.
The rms velocity of hydrogen molecules at 27°C is v. At what temperature will the rms velocity of oxygen molecules equal v ?

4800 K
4527°C
1200 K
27°C

View Solution

3.
If a polygon has 54 diagonals, find the number of sides of the polygon.

(A) 10
(B) 11
(C) 12
(D) 15

View Solution

4.
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

5.
A uniform solid sphere of mass $M$ and radius $R$ is placed on a smooth horizontal surface. It is struck by a horizontal cue at a height $h$ above the center. For the sphere to roll without slipping immediately after the impact, the value of $h$ must be:

$\dfrac{R}{2}$
$\dfrac{2R}{5}$
$\dfrac{2R}{3}$
$\dfrac{3R}{5}$

View Solution

6.
Find the moment of inertia of a uniform ring of mass $M$ and radius $R$ about a tangent perpendicular to its plane.

$MR^2$
$2MR^2$
$3MR^2$
$4MR^2$

View Solution

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

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

MHT CET PCM Exam Pattern 2026

MHT-CET 2026 Exam Strategy

MHT CET Questions

1.
If \( \sin x \cos x = \frac{1}{4} \), then the general solution is:

2.
The rms velocity of hydrogen molecules at 27°C is v. At what temperature will the rms velocity of oxygen molecules equal v ?

3.
If a polygon has 54 diagonals, find the number of sides of the polygon.

4.
What happens to the resistance of a wire if its radius is halved?

5.
A uniform solid sphere of mass $M$ and radius $R$ is placed on a smooth horizontal surface. It is struck by a horizontal cue at a height $h$ above the center. For the sphere to roll without slipping immediately after the impact, the value of $h$ must be:

6.
Find the moment of inertia of a uniform ring of mass \(M\) and radius \(R\) about a tangent perpendicular to its plane.

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

MHT CET PCM Exam Pattern 2026

MHT-CET 2026 Exam Strategy

MHT CET Questions

1.If \( \sin x \cos x = \frac{1}{4} \), then the general solution is:

2.The rms velocity of hydrogen molecules at 27°C is v. At what temperature will the rms velocity of oxygen molecules equal v ?

3.If a polygon has 54 diagonals, find the number of sides of the polygon.

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

5.A uniform solid sphere of mass $M$ and radius $R$ is placed on a smooth horizontal surface. It is struck by a horizontal cue at a height $h$ above the center. For the sphere to roll without slipping immediately after the impact, the value of $h$ must be:

6.Find the moment of inertia of a uniform ring of mass \(M\) and radius \(R\) about a tangent perpendicular to its plane.

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
If \( \sin x \cos x = \frac{1}{4} \), then the general solution is:

2.
The rms velocity of hydrogen molecules at 27°C is v. At what temperature will the rms velocity of oxygen molecules equal v ?

3.
If a polygon has 54 diagonals, find the number of sides of the polygon.

4.
What happens to the resistance of a wire if its radius is halved?

5.
A uniform solid sphere of mass $M$ and radius $R$ is placed on a smooth horizontal surface. It is struck by a horizontal cue at a height $h$ above the center. For the sphere to roll without slipping immediately after the impact, the value of $h$ must be:

6.
Find the moment of inertia of a uniform ring of mass \(M\) and radius \(R\) about a tangent perpendicular to its plane.