MHT CET 2025 22 April Shift 1 Question Paper (Available): Download Question Paper (PCM) with Answers PDF

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The MHT CET 2025 question paper for April 22 Shift 1 (PCM group) is available here with solutions PDF. The MHT CET 2025 question paper consists of 150 multiple-choice questions (MCQs) totaling 200 marks divided in 3 sections, Physics, Chemistry and Mathematics and 50 questions in each subject.

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Question 1:

A body of mass \( m = 2 \, kg \) is moving with a velocity of \( 5 \, m/s \). What is the kinetic energy of the body?

(1) \( 25 \, J \)
(2) \( 10 \, J \)
(3) \( 50 \, J \)
(4) \( 100 \, J \)

Correct Answer: (1) \( 25 \, \text{J} \)
View Solution

Question 2:

A simple pendulum has a length of \( L = 2 \, m \). What is the time period of the pendulum? (Assume \( g = 9.8 \, m/s^2 \))

(1) \( 2 \, s \)
(2) \( 1 \, s \)
(3) \( 3 \, s \)
(4) \( 4 \, s \)

Correct Answer: (1) \( 2 \, \text{s} \)
View Solution

Question 3:

A 5 \, \(\Omega\) resistor and a 10 \, \(\Omega\) resistor are connected in parallel. What is the equivalent resistance of the combination?

(1) \( 3.33 \, \Omega \)
(2) \( 15 \, \Omega \)
(3) \( 7.5 \, \Omega \)
(4) \( 2 \, \Omega \)

Correct Answer: (1) \( 3.33 \, \Omega \)
View Solution

Question 4:

An object of mass \( 0.5 \, kg \) is moving with a velocity of \( 10 \, m/s \). What is the momentum of the object?

(1) \( 5 \, kg \cdot m/s \)
(2) \( 10 \, kg \cdot m/s \)
(3) \( 50 \, kg \cdot m/s \)
(4) \( 0.5 \, kg \cdot m/s \)

Correct Answer: (1) \( 5 \, \text{kg} \cdot \text{m/s} \)
View Solution

Question 5:

A metal rod of length \( L = 0.8 \, m \) is rotating about its center with an angular velocity \( \omega = 10 \, rad/s \). What is the linear velocity of a point on the rod at a distance \( r = 0.4 \, m \) from the center?

(1) \( 4 \, m/s \)
(2) \( 8 \, m/s \)
(3) \( 2 \, m/s \)
(4) \( 6 \, m/s \)

Correct Answer: (1) \( 4 \, \text{m/s} \)
View Solution

Question 6:

A 10 \(muC\) charge is placed in an electric field of \( 5 \times 10^3 \, N/C \). What is the force experienced by the charge?

(1) \( 5 \times 10^{-2} \, N \)
(2) \( 5 \times 10^{-3} \, N \)
(3) \( 5 \times 10^2 \, N \)
(4) \( 5 \times 10^4 \, N \)

Correct Answer: (1) \( 5 \times 10^{-2} \, \text{N} \)
View Solution

Question 7:

A body of mass \( 1.5 \, kg \) is dropped from a height of \( 20 \, m \). What is its speed just before hitting the ground? (Assume \( g = 9.8 \, m/s^2 \))

(1) \( 19.8 \, m/s \)
(2) \( 14 \, m/s \)
(3) \( 20 \, m/s \)
(4) \( 9.8 \, m/s \)

Correct Answer: (1) \( 19.8 \, \text{m/s} \)
View Solution

Question 8:

A 2 \(kg\) mass is attached to a spring with spring constant \( k = 200 \, N/m \). If the mass is displaced by \( 0.1 \, m \), what is the potential energy stored in the spring?

(1) \( 1 \, J \)
(2) \( 0.5 \, J \)
(3) \( 2 \, J \)
(4) \( 0.2 \, J \)

Correct Answer: (1) \( 1 \, \text{J} \)
View Solution

Question 9:

A car travels at a speed of \( 72 \, km/h \). What is the car's speed in meters per second?

(1) \( 20 \, m/s \)
(2) \( 18 \, m/s \)
(3) \( 25 \, m/s \)
(4) \( 30 \, m/s \)

Correct Answer: (1) \( 20 \, \text{m/s} \)
View Solution

Question 10:

What is the molar mass of sulfur dioxide (SO\(_2\)?

(1) \( 64 \, g/mol \)
(2) \( 32 \, g/mol \)
(3) \( 48 \, g/mol \)
(4) \( 44 \, g/mol \)

Correct Answer: (1) \( 64 \, \text{g/mol} \)
View Solution

Question 11:

Which of the following is the correct order of increasing acidity for the following compounds? \( CH_3OH \), \( CH_3COOH \), \( HCl \), and \( H_2SO_4 \).

(1) \( CH_3OH < CH_3COOH < HCl < H_2SO_4 \)
(2) \( CH_3OH < HCl < CH_3COOH < H_2SO_4 \)
(3) \( HCl < CH_3OH < CH_3COOH < H_2SO_4 \)
(4) \( H_2SO_4 < CH_3COOH < HCl < CH_3OH \)

Correct Answer: (1) \( \text{CH}_3\text{OH} < \text{CH}_3\text{COOH} < \text{HCl} < \text{H}_2\text{SO}_4 \)
View Solution

Question 12:

What is the pH of a 0.001 M solution of hydrochloric acid (HCl)?

(1) \( 3 \)
(2) \( 1 \)
(3) \( 7 \)
(4) \( 4 \)

Correct Answer: (1) \( 3 \)
View Solution

Question 13:

Which of the following is the correct electron configuration for an oxygen atom?

(1) \( 1s^2 2s^2 2p^4 \)
(2) \( 1s^2 2s^2 2p^6 \)
(3) \( 1s^2 2s^2 2p^5 \)
(4) \( 1s^2 2s^2 2p^3 \)

Correct Answer: (1) \( 1s^2 2s^2 2p^4 \)
View Solution

Question 14:

What is the empirical formula of glucose, whose molecular formula is \( C_6H_{12}O_6 \)?

(1) \( CH_2O \)
(2) \( C_2H_4O_2 \)
(3) \( C_3H_6O_3 \)
(4) \( C_6H_6O_3 \)

Correct Answer: (1) \( \text{CH}_2\text{O} \)
View Solution

Question 15:

How many grams of NaOH are required to neutralize 25 mL of 0.1 M HCl solution?

(1) \( 0.25 \, g \)
(2) \( 0.5 \, g \)
(3) \( 1.0 \, g \)
(4) \( 2.0 \, g \)

Correct Answer: (1) \( 0.25 \, \text{g} \)
View Solution

Question 16:

Find the value of \( x \) that satisfies the equation \( 2x + 3 = 11 \).

(1) \( 4 \)
(2) \( 5 \)
(3) \( 6 \)
(4) \( 7 \)

Correct Answer: (1) \( 4 \)
View Solution

Question 17:

Find the roots of the quadratic equation \( x^2 - 5x + 6 = 0 \).

(1) \( x = 2, 3 \)
(2) \( x = 1, 6 \)
(3) \( x = -2, 3 \)
(4) \( x = -1, -6 \)

Correct Answer: (1) \( x = 2, 3 \)
View Solution

Question 18:

Find the value of \( \log_2 32 \).

(1) \( 5 \)
(2) \( 6 \)
(3) \( 4 \)
(4) \( 3 \)

Correct Answer: (1) \( 5 \)
View Solution

Question 19:

If \( \tan \theta = \frac{3}{4} \), find the value of \( \sin \theta \).

(1) \( \frac{3}{5} \)
(2) \( \frac{4}{5} \)
(3) \( \frac{5}{4} \)
(4) \( \frac{3}{4} \)

Correct Answer: (1) \( \frac{3}{5} \)
View Solution

Question 20:

If \( f(x) = 3x^2 + 5x - 7 \), find \( f(2) \).

(1) \( 9 \)
(2) \( 15 \)
(3) \( 7 \)
(4) \( 5 \)

Correct Answer: (1) \( 9 \)
View Solution

Question 21:

Solve for \( x \) in the equation \( \frac{1}{x+3} + \frac{1}{x+5} = \frac{1}{6} \).

(1) \( x = 1 \)
(2) \( x = -1 \)
(3) \( x = -4 \)
(4) \( x = 3 \)

Correct Answer: (3) \( x = -4 \)
View Solution

Question 22:

Find the area of a triangle with base 12 cm and height 5 cm.

(1) \( 30 \, cm^2 \)
(2) \( 60 \, cm^2 \)
(3) \( 24 \, cm^2 \)
(4) \( 15 \, cm^2 \)

Correct Answer: (1) \( 30 \, \text{cm}^2 \)
View Solution

MHT CET 2025: Marks vs Percentile

MHT CET 2025 Marks vs Percentile calculates a candidate's percentile to decide if he or she is eligible for admission to the top universities for engineering and pharmacy courses in Maharashtra or not.

Marks Range (Out of 200)	Expected Percentile
170 and above	99.9+ (Top Rankers)
150 - 160	99+ (Top Colleges)
140 - 150	98.4
130 - 140	98
120 - 130	96 - 97
100 - 120	95 - 96
80 - 100	88 - 92
Below 60	Below 55 (Not Safe)

Candidates that score 170 or more are typically in the 99.9+ percentile, whereas scores of 150-160 equate to a 99+ percentile, making them perfect for top universities. A range of 140-150 marks falls around 98.4 percentile, whereas 130-140 marks places kids around the 98 percentile. A score of 120-130 corresponds to a 96-97 percentile, whereas 100-120 corresponds to a 95-96 percentile. A score of 80-100 corresponds to an 88-92 percentile, while a score of 60 or lower results in a percentile of less than 55, which may not be sufficient for safe admission. These projections are based on historical trends and may change from year to year.

Read: MHT CET 2025 Mark vs Rank

MHT-CET 2025 Topper’s Strategy: Scoring 90 Percentile

MHT CET PCM Marking Scheme 2025

Section	Total Questions	Marks per Question	Total Marks
Physics	50	1	50
Chemistry	50	1	50
Mathematics	50	2	100
Total	150		200

In the Physics and Chemistry section, each correct answer will be marked with +1 mark, and in the Mathematics section, each correct answer will be awarded with +2 marks. There is no negative marking for wrong answers in MHT CET 2025.

Also Check:

MHT CET 2025 Paper Analysis	MHT CET 2025 Answer Key
MHT CET Cut off 2025	MHT CET Result 2025

MHT CET Previous Year Question Papers

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Categories	State
General	800
Women	800
sc	600
pwd	600
Others	600

MHT CET 2025 22 April Shift 1 Question Paper (Available): Download Question Paper (PCM) with Answers PDF

MHT CET 2025 22 April Shift 1 PCM Question Paper PDF Download

MHT CET 2025: Marks vs Percentile

MHT-CET 2025 Topper’s Strategy: Scoring 90 Percentile

MHT CET PCM Marking Scheme 2025

MHT CET Previous Year Question Papers

MHT CET Questions

1.
If \( \mathbf{a} = \frac{1}{\sqrt{10}} (4\hat{i} - 3\hat{j} + \hat{k}) \) and \( \mathbf{b} = \frac{1}{5} (\hat{i} + 2\hat{j} + 2\hat{k}) \), then the value of \[ (2\mathbf{a} - \mathbf{b}) \cdot \left[ (\mathbf{a} \times \mathbf{b}) \times (\mathbf{a} + 2\mathbf{b}) \right] \]

2.
What is the energy stored in a capacitor of capacitance \( C = 10 \, \mu\text{F} \) when a potential difference of \( V = 20 \, \text{V} \) is applied across it?

3.
What is the empirical formula of a compound containing 40% sulfur and 60% oxygen by mass?

4.
A thin spherical shell of radius \( 0.5 \, \text{m} \) and mass \( 2 \, \text{kg} \) is rotating about its axis of symmetry with an angular velocity of \( 10 \, \text{rad/s} \). What is its moment of inertia?

5.
Two charges of \( +2 \, \mu\text{C} \) and \( -2 \, \mu\text{C} \) are placed 1 meter apart. What is the force between them?

6.
How many molecules of carbon dioxide are formed when 0.6 g carbon is burnt in air?

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MHT CET 2025 22 April Shift 1 PCM Question Paper PDF Download

MHT CET 2025: Marks vs Percentile

MHT-CET 2025 Topper’s Strategy: Scoring 90 Percentile

MHT CET PCM Marking Scheme 2025

MHT CET Previous Year Question Papers

MHT CET Questions

1.If \( \mathbf{a} = \frac{1}{\sqrt{10}} (4\hat{i} - 3\hat{j} + \hat{k}) \) and \( \mathbf{b} = \frac{1}{5} (\hat{i} + 2\hat{j} + 2\hat{k}) \), then the value of \[ (2\mathbf{a} - \mathbf{b}) \cdot \left[ (\mathbf{a} \times \mathbf{b}) \times (\mathbf{a} + 2\mathbf{b}) \right] \]

2.What is the energy stored in a capacitor of capacitance \( C = 10 \, \mu\text{F} \) when a potential difference of \( V = 20 \, \text{V} \) is applied across it?

3.What is the empirical formula of a compound containing 40% sulfur and 60% oxygen by mass?

4.A thin spherical shell of radius \( 0.5 \, \text{m} \) and mass \( 2 \, \text{kg} \) is rotating about its axis of symmetry with an angular velocity of \( 10 \, \text{rad/s} \). What is its moment of inertia?

5.Two charges of \( +2 \, \mu\text{C} \) and \( -2 \, \mu\text{C} \) are placed 1 meter apart. What is the force between them?

6.How many molecules of carbon dioxide are formed when 0.6 g carbon is burnt in air?

Fees Structure

Structure based on different categories

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1.
If \( \mathbf{a} = \frac{1}{\sqrt{10}} (4\hat{i} - 3\hat{j} + \hat{k}) \) and \( \mathbf{b} = \frac{1}{5} (\hat{i} + 2\hat{j} + 2\hat{k}) \), then the value of \[ (2\mathbf{a} - \mathbf{b}) \cdot \left[ (\mathbf{a} \times \mathbf{b}) \times (\mathbf{a} + 2\mathbf{b}) \right] \]

2.
What is the energy stored in a capacitor of capacitance \( C = 10 \, \mu\text{F} \) when a potential difference of \( V = 20 \, \text{V} \) is applied across it?

3.
What is the empirical formula of a compound containing 40% sulfur and 60% oxygen by mass?

4.
A thin spherical shell of radius \( 0.5 \, \text{m} \) and mass \( 2 \, \text{kg} \) is rotating about its axis of symmetry with an angular velocity of \( 10 \, \text{rad/s} \). What is its moment of inertia?

5.
Two charges of \( +2 \, \mu\text{C} \) and \( -2 \, \mu\text{C} \) are placed 1 meter apart. What is the force between them?

6.
How many molecules of carbon dioxide are formed when 0.6 g carbon is burnt in air?