MHT CET PYQs for Maxima and Minima with Solutions: Practice MHT CET Previous Year Questions

Maxima And Minima is a topic from the Applications of Derivatives chapter of Class 12 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 Maxima And Minima PYQs are:

Maximum area and volume
Minimum surface area
Minimum slope of a tangent
Local maximum and minimum values of a function

Practising Maxima And Minima 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 about 1 mark per paper by covering Maxima And Minima. The chapter recorded 53 questions across the 80 shifts in the data, and 18 of them came in the 2025 and 2026 papers, which is about 1 of the 50 Mathematics questions in a typical shift.

MHT CET Maxima And Minima Topic: Question Count, Marks and Weightage:

What it shows	Number
Questions in the PDF (2017-2026)	53
Questions in the 2025 and 2026 papers (33 shifts)	18
Questions in the 2018 to 2026 papers (80 shifts)	52
Typical number of Mathematics questions from this topic in one shift	About 1 out of 50
Marks for each question	2

The PDF holds 53 questions from MHT CET 2026 to 2017, newest first, each with its exam date and shift. Options are as printed and answer keys are not included.

Maxima And Minima PYQ Statistics (2022-2026)

The table below shows the number of questions asked in MHT CET Maxima And Minima 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	Questions Asked	Shifts Held	Typical Questions in One Shift
2026	10	16	About 1 out of 50
2025	8	17	Fewer than 1 out of 50
2024	10	18	About 1 out of 50
2023	11	12	About 1 out of 50
2022	0	1	Fewer than 1 out of 50

The 2018 to 2021 papers in the PDF add 13 more questions: 2021 had 9, 2020 had 1, 2019 had 2, 2018 had 1; the papers before 2018 add 1 from 2017.

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 Maxima And Minima PYQs

Every question in this PDF is a single-correct MCQ. Most ask for the dimensions or the value that makes an area, a volume or a function a maximum or a minimum.

Question Style	What it Tests
Maximum area or volume	The maximum area of a rectangle inscribed in a circle, and the height of a cone of maximum volume for a given slant height
Minimum surface area	The minimum surface area of a tank of a given volume, and the dimensions of the tank for the least sheet metal
Slope of a tangent	The minimum value of the slope of the tangent to a curve
Sum of areas	The least value of the sum of the areas of a square and a circle
Local maximum and minimum	The local maximum and minimum values of a given function

How to Use the Maxima And Minima PYQ PDF for MHT CET

Start with the 2025 and 2026 papers first, because they hold 18 of the 53 questions.
Write the quantity to be maximised or minimised in one variable by using the condition given in the question.
Confirm that a critical point is a maximum or a minimum with the second derivative.
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: Maxima And Minima PYQs and MCQs

Source: Modx4Maths

Maxima And Minima PYQ for MHT CET Mathematics FAQs

Ques. How many questions come from Maxima And Minima every year?

Ans. In this PDF, the questions are 10 from 2026, 8 from 2025, 10 from 2024, 11 from 2023 and 9 from 2021 and the rest from earlier papers. In 2025 and 2026 together the topic had 18 questions across 33 shifts, which is about 1 in a typical shift.

Ques. What kind of questions are asked from Maxima And Minima?

Ans. Single-correct MCQs. Common ones ask for the dimensions that give the maximum area or volume, the minimum surface area, or the local maximum and minimum values of a function.

Ques. What is the best way to practise Maxima And Minima PYQs?

Ans. First solve the 2025 and 2026 questions completely, then the older ones, and finally re-attempt the questions you got wrong.

Ques. Can I score full marks from Maxima And Minima?

Ans. In 2025 and 2026 together the topic had 18 questions across 33 shifts. Learning how to form the function and use the second derivative test is enough to secure it. Each Mathematics question in MHT CET is worth 2 marks.

Ques. Does the Maxima And Minima 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 Maxima and Minima with Solutions: Practice MHT CET Previous Year Questions

Maxima And Minima PYQ Statistics (2022-2026)

Pair PYQs with Other Study Material for MHT CET 2027

Question Style in MHT CET Maxima And Minima PYQs

How to Use the Maxima And Minima PYQ PDF for MHT CET

Video: Maxima And Minima PYQs and MCQs

Maxima And Minima PYQ for MHT CET Mathematics FAQs

1.
On the interval \([0,1]\), the function \(f(x) = x^{25}(1-x)^{75}\) attains its maximum value at the point \(x =\)....

2.
The minimum value of \(\frac{logx}{x}\) in the interval \((2,\infty )\) is

3.
A cylindrical tank without a top lid is being manufactured to hold a fixed volume of \(125π\) cubic cm. The minimum surface area required to construct this tank is ............square cm

4.
The maximum value of the function \( f(x) = -2x^2 + 4x + 1 \) occurs at:

5.
The difference between the local extreme values of the function \(f(x) = 2x^3-15x^2+36x+40\) is ......

6.
A ball is thrown in the air. Its height at any time \(t\) is given by \(h = 3+14t-5t^2\), then the maximum height it can reach

7.
The equation of the tangent to the curve \(y = \sqrt{9-3x^2}\) at the point where the ordinate and abscissa equal is...

9.
The value of \(x\) so that the volume of the parallelopiped formed by the vectors \(\hat{i}+x\hat{j}+\hat{k}\), \(\hat{j}+x\hat{k}\) and \(x\hat{i}+\hat{k}\) is minimum, is

10.
A manufacturer sells $x$ items at a price of ₹$(6 - \frac{x}{40})$ each. The cost price of $x$ items is ₹$(\frac{x}{5} + 193)$. The maximum profit in ₹ is ______.

11.
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?

12.
A wire of length \(64\) m is to be bent to form a rectangle such that its area is maximum, then its area is.....

13.
The number 28 is divided into two positive parts such that the sum of the cube of one part and the square of the other part is minimum, then the absolute difference between the two parts is

15.
The maximum value of \((\frac{1}{x})^x\), \(x > 0\) is

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Maxima And Minima PYQ Statistics (2022-2026)

Pair PYQs with Other Study Material for MHT CET 2027

Question Style in MHT CET Maxima And Minima PYQs

How to Use the Maxima And Minima PYQ PDF for MHT CET

Video: Maxima And Minima PYQs and MCQs

Maxima And Minima PYQ for MHT CET Mathematics FAQs

1.On the interval \([0,1]\), the function \(f(x) = x^{25}(1-x)^{75}\) attains its maximum value at the point \(x =\)....

2.The minimum value of \(\frac{logx}{x}\) in the interval \((2,\infty )\) is

3.A cylindrical tank without a top lid is being manufactured to hold a fixed volume of \(125π\) cubic cm. The minimum surface area required to construct this tank is ............square cm

4.The maximum value of the function \( f(x) = -2x^2 + 4x + 1 \) occurs at:

5.The difference between the local extreme values of the function \(f(x) = 2x^3-15x^2+36x+40\) is ......

6.A ball is thrown in the air. Its height at any time \(t\) is given by \(h = 3+14t-5t^2\), then the maximum height it can reach

7.The equation of the tangent to the curve \(y = \sqrt{9-3x^2}\) at the point where the ordinate and abscissa equal is...

9.The value of \(x\) so that the volume of the parallelopiped formed by the vectors \(\hat{i}+x\hat{j}+\hat{k}\), \(\hat{j}+x\hat{k}\) and \(x\hat{i}+\hat{k}\) is minimum, is

10.A manufacturer sells $x$ items at a price of ₹$(6 - \frac{x}{40})$ each. The cost price of $x$ items is ₹$(\frac{x}{5} + 193)$. The maximum profit in ₹ is ______.

11.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?

12.A wire of length \(64\) m is to be bent to form a rectangle such that its area is maximum, then its area is.....

13.The number 28 is divided into two positive parts such that the sum of the cube of one part and the square of the other part is minimum, then the absolute difference between the two parts is

15.The maximum value of \((\frac{1}{x})^x\), \(x > 0\) is

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
On the interval \([0,1]\), the function \(f(x) = x^{25}(1-x)^{75}\) attains its maximum value at the point \(x =\)....

2.
The minimum value of \(\frac{logx}{x}\) in the interval \((2,\infty )\) is

3.
A cylindrical tank without a top lid is being manufactured to hold a fixed volume of \(125π\) cubic cm. The minimum surface area required to construct this tank is ............square cm

4.
The maximum value of the function \( f(x) = -2x^2 + 4x + 1 \) occurs at:

5.
The difference between the local extreme values of the function \(f(x) = 2x^3-15x^2+36x+40\) is ......

6.
A ball is thrown in the air. Its height at any time \(t\) is given by \(h = 3+14t-5t^2\), then the maximum height it can reach

7.
The equation of the tangent to the curve \(y = \sqrt{9-3x^2}\) at the point where the ordinate and abscissa equal is...

9.
The value of \(x\) so that the volume of the parallelopiped formed by the vectors \(\hat{i}+x\hat{j}+\hat{k}\), \(\hat{j}+x\hat{k}\) and \(x\hat{i}+\hat{k}\) is minimum, is

10.
A manufacturer sells $x$ items at a price of ₹$(6 - \frac{x}{40})$ each. The cost price of $x$ items is ₹$(\frac{x}{5} + 193)$. The maximum profit in ₹ is ______.

11.
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?

12.
A wire of length \(64\) m is to be bent to form a rectangle such that its area is maximum, then its area is.....

13.
The number 28 is divided into two positive parts such that the sum of the cube of one part and the square of the other part is minimum, then the absolute difference between the two parts is

15.
The maximum value of \((\frac{1}{x})^x\), \(x > 0\) is