MHT CET PYQs for Geometric Progression with Solutions: Practice MHT CET Previous Year Questions

Q: How many questions come from Geometric Progression every year?

In this PDF, the questions are 2 from 2019 and 1 from 2018. In 2025 and 2026 together the topic had 0 questions across 33 shifts, which is fewer than 1 in a typical shift.

Q: What kind of questions are asked from Geometric Progression?

Single-correct MCQs on the terms and the sum of a geometric progression.

Q: What is the best way to practise Geometric Progression PYQs?

Solve the questions from the newest paper first, then the older ones, and finally re-attempt the questions you got wrong.

Q: Can I score full marks from Geometric Progression?

The topic had no questions in the 2025 and 2026 papers. Learning the nth term and the sum formulas of the GP is enough to secure it. Each Mathematics question in MHT CET is worth 2 marks.

Q: Does the Geometric Progression PYQ PDF include solutions?

No. The PDF contains the questions with their exam date and shift, without answer keys or solutions.

Geometric Progression is a topic from the Sequences And Series chapter of Class 11 Mathematics, and it is part of the Mathematics section of the MHT CET for candidates who are preparing for the PCM (Physics, Chemistry, and Mathematics).

The key topics covered in Geometric Progression PYQs are:

Terms of a geometric progression
Sum of an infinite GP
Sum of a special series

Practising Geometric Progression MHT CET PYQ helps candidates to understand question pattern, improve calculation speed, and identify concepts which were asked in previous exams.

Based on chapter-wise analysis of the MHT CET Mathematics paper, you can get less than 1 mark per paper by covering Geometric Progression. The chapter recorded 3 questions across the 80 shifts in the data, and none of them came in the 2025 and 2026 papers.

MHT CET Geometric Progression Topic: Question Count, Marks and Weightage:

What it shows	Number
Questions in the PDF (2018-2019)	3
Questions in the 2025 and 2026 papers (33 shifts)	0
Questions in the 2018 to 2026 papers (80 shifts)	3
Typical number of Mathematics questions from this topic in one shift	Fewer than 1 out of 50
Marks for each question	2

The PDF holds 3 questions from MHT CET 2019 to 2018, newest first, each with its exam date and shift. Options are as printed and answer keys are not included.

Geometric Progression PYQ Statistics (2022-2026)

The table below shows the number of questions asked in MHT CET Geometric Progression PYQs. Every shift has 50 Mathematics questions, and the last column is the number of questions asked divided by the shifts held, rounded to a whole number.

Year	Shifts Held	Typical Questions in One Shift
2026	16	Fewer than 1 out of 50
2025	17	Fewer than 1 out of 50
2024	18	Fewer than 1 out of 50
2023	12	Fewer than 1 out of 50
2022	1	Fewer than 1 out of 50

The 2018 to 2021 papers in the PDF add 3 more questions: 2021 had none, 2020 had none, 2019 had 2, 2018 had 1.

Pair PYQs with Other Study Material for MHT CET 2027

Click on the link to practise problems and time management skills:

Resource	Link
MHT CET Sample Paper	Check Here
MHT CET Mock Test	Check Here

Question Style in MHT CET Geometric Progression PYQs

All three questions in this PDF are single-correct MCQs on a geometric progression.

Question Style	What it Tests
Terms of a GP	The relation when three numbers are the pth, qth and rth terms of a GP
Infinite GP	The common ratio when the sum of an infinite GP is 9 and the sum of its first two terms is 5
Special series	The sum of the first 10 terms of the series 9 + 99 + 999 + …

How to Use the Geometric Progression PYQ PDF for MHT CET

Start with the newest papers in the PDF, 2019 first, because the topic had no question in 2025 and 2026.
Learn the nth term a·rⁿ⁻¹ and the sum of an infinite GP a / (1 − r) for |r| < 1.
Write the series 9 + 99 + 999 + … as a sum of powers of 10 minus the number of terms.
Solve year-wise PYQs by timing yourself, as time management is crucial.
Re-attempt only the questions you got wrong, and note which formula or step you missed.

Video: Geometric Progression PYQs and MCQs

Source: MathGuru Jai Agarwal MHTCET JEE NDA Maths

Geometric Progression PYQ for MHT CET Mathematics FAQs

Ques. How many questions come from Geometric Progression every year?

Ans. In this PDF, the questions are 2 from 2019 and 1 from 2018. In 2025 and 2026 together the topic had 0 questions across 33 shifts, which is fewer than 1 in a typical shift.

Ques. What kind of questions are asked from Geometric Progression?

Ans. Single-correct MCQs on the terms and the sum of a geometric progression.

Ques. What is the best way to practise Geometric Progression PYQs?

Ans. Solve the questions from the newest paper first, then the older ones, and finally re-attempt the questions you got wrong.

Ques. Can I score full marks from Geometric Progression?

Ans. The topic had no questions in the 2025 and 2026 papers. Learning the nth term and the sum formulas of the GP is enough to secure it. Each Mathematics question in MHT CET is worth 2 marks.

Ques. Does the Geometric Progression PYQ PDF include solutions?

Ans. No. The PDF contains the questions with their exam date and shift, without answer keys or solutions.

MHT CET PYQs for Geometric Progression with Solutions: Practice MHT CET Previous Year Questions

Geometric Progression PYQ Statistics (2022-2026)

Pair PYQs with Other Study Material for MHT CET 2027

Question Style in MHT CET Geometric Progression PYQs

How to Use the Geometric Progression PYQ PDF for MHT CET

Video: Geometric Progression PYQs and MCQs

Geometric Progression PYQ for MHT CET Mathematics FAQs

1.
Let \( f(x) = \frac{2 - \sqrt{x + 4}}{\sin 2x}, \, x \neq 0 \). In order that \( f(x) \) is continuous at \( x = 0 \), \( f(0) \) is to be defined as:

2.
The absolute maximum value of the function \( f(x) = 2x^3 - 3x^2 - 36x + 9 \) defined on \( [-3, 3] \) is

3.
The function \( f(x) = \tan^{-1} (\sin x + \cos x) \) is an increasing function in:

4.
If \( A = \begin{bmatrix} 1 & 0 \\ 1/2 & 1 \end{bmatrix} \), then \( A^{50} \) is:

5.
Calculate the area of the intersection between the disk \(x^2 + y^2 \leq 1\) and the region defined by \(y^2 \leq 1 - x\).

6.
Let \( \vec{a} = \hat{i} + 2\hat{j} + \hat{k}, \, \vec{b} = \hat{i} - \hat{j} + \hat{k}, \, \text{and} \, \vec{c} = \hat{i} + \hat{j} - \hat{k} \). A vector in the plane of \( \vec{a} \) and \( \vec{b} \) whose projection on \( \vec{c} \) is \( \frac{1}{\sqrt{3}} \), is:

7.
The equation of a circle with center \( (5, 4) \) and touching the \( Y \)-axis is:

8.
The range of the function \( f(x) = \sin^{-1}(x - \sqrt{x}) \) is equal to?

9.
Two players A and B are alternately throwing a coin and a die together. A player who first throws a head and a 6 wins the game. If A starts the game, then the probability that B wins the game is:

10.
If \( x = \frac{1 - t^2}{1 + t^2} \) and \( y = \frac{2t}{1 + t^2} \), then \( \frac{dy}{dx} \) is equal to:

11.
Let the following system of equations: $$ kx + y + z = 1, \quad x + ky + z = k, \quad x + y + kz = k^2 $$ have no solution. Find $|k|$:

12.
The tangent at the point \( (x_1, y_1) \) on the curve \( y = x^3 + 3x^2 + 5 \) passes through the origin. Then \( (x_1, y_1) \) does NOT lie on the curve:

13.
The solution of the differential equation \( \sqrt{1 - y^2} \, dx + x \, dy - \sin^{-1} y \, dy = 0 \) is:

14.
Evaluate the following limit: \[ \lim_{\theta \to -\frac{\pi}{4}} \frac{\cos\theta + \sin\theta}{\theta + \frac{\pi}{4}}. \]

15.
Evaluate \( i^2 + i^3 + \dots + i^{4000} \):

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Geometric Progression PYQ Statistics (2022-2026)

Pair PYQs with Other Study Material for MHT CET 2027

Question Style in MHT CET Geometric Progression PYQs

How to Use the Geometric Progression PYQ PDF for MHT CET

Video: Geometric Progression PYQs and MCQs

Geometric Progression PYQ for MHT CET Mathematics FAQs

1.Let \( f(x) = \frac{2 - \sqrt{x + 4}}{\sin 2x}, \, x \neq 0 \). In order that \( f(x) \) is continuous at \( x = 0 \), \( f(0) \) is to be defined as:

2.The absolute maximum value of the function \( f(x) = 2x^3 - 3x^2 - 36x + 9 \) defined on \( [-3, 3] \) is

3.The function \( f(x) = \tan^{-1} (\sin x + \cos x) \) is an increasing function in:

4.If \( A = \begin{bmatrix} 1 & 0 \\ 1/2 & 1 \end{bmatrix} \), then \( A^{50} \) is:

5.Calculate the area of the intersection between the disk \(x^2 + y^2 \leq 1\) and the region defined by \(y^2 \leq 1 - x\).

6.Let \( \vec{a} = \hat{i} + 2\hat{j} + \hat{k}, \, \vec{b} = \hat{i} - \hat{j} + \hat{k}, \, \text{and} \, \vec{c} = \hat{i} + \hat{j} - \hat{k} \). A vector in the plane of \( \vec{a} \) and \( \vec{b} \) whose projection on \( \vec{c} \) is \( \frac{1}{\sqrt{3}} \), is:

7.The equation of a circle with center \( (5, 4) \) and touching the \( Y \)-axis is:

8.The range of the function \( f(x) = \sin^{-1}(x - \sqrt{x}) \) is equal to?

9.Two players A and B are alternately throwing a coin and a die together. A player who first throws a head and a 6 wins the game. If A starts the game, then the probability that B wins the game is:

10.If \( x = \frac{1 - t^2}{1 + t^2} \) and \( y = \frac{2t}{1 + t^2} \), then \( \frac{dy}{dx} \) is equal to:

11. Let the following system of equations: $$ kx + y + z = 1, \quad x + ky + z = k, \quad x + y + kz = k^2 $$ have no solution. Find $|k|$:

12.The tangent at the point \( (x_1, y_1) \) on the curve \( y = x^3 + 3x^2 + 5 \) passes through the origin. Then \( (x_1, y_1) \) does NOT lie on the curve:

13.The solution of the differential equation \( \sqrt{1 - y^2} \, dx + x \, dy - \sin^{-1} y \, dy = 0 \) is:

14.Evaluate the following limit: \[ \lim_{\theta \to -\frac{\pi}{4}} \frac{\cos\theta + \sin\theta}{\theta + \frac{\pi}{4}}. \]

15.Evaluate \( i^2 + i^3 + \dots + i^{4000} \):

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1.
Let \( f(x) = \frac{2 - \sqrt{x + 4}}{\sin 2x}, \, x \neq 0 \). In order that \( f(x) \) is continuous at \( x = 0 \), \( f(0) \) is to be defined as:

2.
The absolute maximum value of the function \( f(x) = 2x^3 - 3x^2 - 36x + 9 \) defined on \( [-3, 3] \) is

3.
The function \( f(x) = \tan^{-1} (\sin x + \cos x) \) is an increasing function in:

4.
If \( A = \begin{bmatrix} 1 & 0 \\ 1/2 & 1 \end{bmatrix} \), then \( A^{50} \) is:

5.
Calculate the area of the intersection between the disk \(x^2 + y^2 \leq 1\) and the region defined by \(y^2 \leq 1 - x\).

6.
Let \( \vec{a} = \hat{i} + 2\hat{j} + \hat{k}, \, \vec{b} = \hat{i} - \hat{j} + \hat{k}, \, \text{and} \, \vec{c} = \hat{i} + \hat{j} - \hat{k} \). A vector in the plane of \( \vec{a} \) and \( \vec{b} \) whose projection on \( \vec{c} \) is \( \frac{1}{\sqrt{3}} \), is:

7.
The equation of a circle with center \( (5, 4) \) and touching the \( Y \)-axis is:

8.
The range of the function \( f(x) = \sin^{-1}(x - \sqrt{x}) \) is equal to?

9.
Two players A and B are alternately throwing a coin and a die together. A player who first throws a head and a 6 wins the game. If A starts the game, then the probability that B wins the game is:

10.
If \( x = \frac{1 - t^2}{1 + t^2} \) and \( y = \frac{2t}{1 + t^2} \), then \( \frac{dy}{dx} \) is equal to:

11.
Let the following system of equations: $$ kx + y + z = 1, \quad x + ky + z = k, \quad x + y + kz = k^2 $$ have no solution. Find $|k|$:

12.
The tangent at the point \( (x_1, y_1) \) on the curve \( y = x^3 + 3x^2 + 5 \) passes through the origin. Then \( (x_1, y_1) \) does NOT lie on the curve:

13.
The solution of the differential equation \( \sqrt{1 - y^2} \, dx + x \, dy - \sin^{-1} y \, dy = 0 \) is:

14.
Evaluate the following limit: \[ \lim_{\theta \to -\frac{\pi}{4}} \frac{\cos\theta + \sin\theta}{\theta + \frac{\pi}{4}}. \]

15.
Evaluate \( i^2 + i^3 + \dots + i^{4000} \):