STUDY RATE

Class 12 Maths: Case Study Based Questions PDF Download

  • Post author: studyrate
  • Post published:
  • Post category: 12 board / Class 12
  • Post comments: 0 Comments

You must practice some good Case Study questions of Class 12 Maths to boost your preparation to score 95+% on Boards. In this post, you will get Case Study Questions of All Chapters which will come in CBSE Class 12 Maths Board Exams.

Join our Telegram Channel, there you will get various e-books for CBSE 2024 Boards exams for Class 9th, 10th, 11th, and 12th.

Download Books for Boards

We have provided here Case Study questions for the Class 12 Maths exams. You can read these chapter-wise Case Study questions. Prepared by subject experts and experienced teachers. The answer key is also provided so that you can check the correct answer for each question. Practice these questions to score well in your Board Final exams.

We are providing Case Study questions for class 12 Biology based on the latest syllabi. There is a total of 13 chapters included in CBSE class 12 Maths exams. Students can practice these questions for concept clarity and score better marks in their exams.

Table of Contents

CBSE Class 12th – MATHS : Chapterwise Case Study Question & Solution

CBSE will ask two Case Study Questions in the CBSE class 12 maths questions paper. Question numbers 15 and 16 are case-based questions where 5 MCQs will be asked based on a paragraph. Each theme will have five questions and students will have a choice to attempt any four of them.

Case Study Based Questions for Class 12 Maths

Class 12 Physics Case Study Questions Class 12 Chemistry Case Study Questions Class 12 Biology Case Study Questions Class 12 Maths Case Study Questions

Books for Class 12 Maths

Strictly as per the new term-wise syllabus for Board Examinations to be held in the academic session 2022-23 for class 12 Multiple Choice Questions based on new typologies introduced by the board- Stand-Alone MCQs, MCQs based on Assertion-Reason Case-based MCQs. Include Questions from CBSE official Question Bank released in April 2022 Answer key with Explanations What are the updates in the book: Strictly as per the Term wise syllabus for Board Examinations to be held in the academic session 2022-23. Chapter-wise -Topic-wise Multiple choice questions based on the special scheme of assessment for Board Examination for Class 12th.

case study class 12 maths

Class 12 Maths Syllabus 2022-23

Unit-i: relations and functions.

1. Relations and Functions (15 Periods)

Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions.

2. Inverse Trigonometric Functions (15 Periods)

Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions.

Unit-II: Algebra

1. Matrices (25 Periods)

Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew symmetric matrices. Operation on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. Oncommutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2). Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries).

2. Determinants 25 Periods

Determinant of a square matrix (up to 3 x 3 matrices), minors, co-factors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix.

Unit-III: Calculus

1. Continuity and Differentiability (20 Periods)

Continuity and differentiability, chain rule, derivative of inverse trigonometric functions, 𝑙𝑖𝑘𝑒 sin −1  𝑥 , cos −1  𝑥 and tan −1  𝑥, derivative of implicit functions. Concept of exponential and logarithmic functions. Derivatives of logarithmic and exponential functions. Logarithmic differentiation, derivative of functions expressed in parametric forms. Second order derivatives.

2. Applications of Derivatives (10 Periods)

Applications of derivatives: rate of change of bodies, increasing/decreasing functions, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as reallife situations).

3. Integrals (20 Periods)

Integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals of the following types and problems based on them.

jagran josh

Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals.

4. Applications of the Integrals (15 Periods)

Applications in finding the area under simple curves, especially lines, circles/ parabolas/ellipses (in standard form only)

5. Differential Equations (15 Periods)

Definition, order and degree, general and particular solutions of a differential equation. Solution of differential equations by method of separation of variables, solutions of homogeneous differential equations of first order and first degree. Solutions of linear differential equation of the type:

jagran josh

Unit-IV: Vectors and Three-Dimensional Geometry

1. Vectors (15 Periods)

Vectors and scalars, magnitude and direction of a vector. Direction cosines and direction ratios of a vector. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors.

2. Three – dimensional Geometry (15 Periods)

Direction cosines and direction ratios of a line joining two points. Cartesian equation and vector equation of a line, skew lines, shortest distance between two lines. Angle between two lines.

Unit-V: Linear Programming

1. Linear Programming (20 Periods)

Introduction, related terminology such as constraints, objective function, optimization, graphical method of solution for problems in two variables, feasible and infeasible regions (bounded or unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).

Unit-VI: Probability

1. Probability 30 (Periods)

Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable and its probability distribution, mean of random variable.

case study class 12 maths

You Might Also Like

The interview summary class 12 english pdf, class 12 chemistry case study questions chapter 1 the solid state, mcq class 12 english an elementary school classroom in a slum questions with answers english poem 2, leave a reply cancel reply.

Save my name, email, and website in this browser for the next time I comment.

This site uses Akismet to reduce spam. Learn how your comment data is processed .

case study class 12 maths

The Topper Combo Flashcards

  • Contains the Latest NCERT in just 350 flashcards.
  • Colourful and Interactive
  • Summarised Important reactions according to the latest PYQs of NEET(UG) and JEE

No thanks, I’m not interested!

myCBSEguide

  • Mathematics
  • Class 12 Maths Case...

Class 12 Maths Case Study Questions

Table of Contents

myCBSEguide App

Download the app to get CBSE Sample Papers 2023-24, NCERT Solutions (Revised), Most Important Questions, Previous Year Question Bank, Mock Tests, and Detailed Notes.

Class 12 Maths question paper will have 1-2 Case Study Questions. These questions will carry 5 MCQs and students will attempt any four of them. As all of these are only MCQs, it is easy to score good marks with a little practice. Class 12 Maths Case Study Questions are available on the myCBSEguide App and Student Dashboard .

Why Case Studies in CBSE Syllabus?

CBSE has introduced case study questions in the CBSE curriculum recently. The purpose was to make students ready to face real-life challenges with the knowledge acquired in their classrooms. It means, there was a need to connect theories with practicals. Whatsoever the students are learning, they must know how to apply it in their day-to-day life. That’s why CBSE is emphasizing case studies and competency-based education .

Case Study Questions in Maths

Let’s have a look over the class 12 Mathematics sample question paper issued by CBSE, New Delhi. Question numbers 17 and 18 are case study questions.

Focus on concepts

If you go through each MCQ there, you will find that the theme/case study is common but the questions are based on different concepts related to the theme. It means, that if you have done ample practice on the various concepts, you can solve all these MCQs in minutes.

Easy Questions with a Practical Approach

The difficulty level of the questions is average or say easy in some cases. On the other hand, you get four options to choose from. So, you get two levels of support to get full marks with very little effort.

Practice Questions Regularly

Most of the time we feel that it’s easy and neglect it. But in the end, we have to pay for this negligence. This may happen here too. Although it’s easy to score good marks on the case study questions if you don’t practice such questions, you may lose your marks. So, we suggest students should practice at least 30-40 such questions before writing the board exam.

12 Maths Case-Based Questions

We are giving you some examples of case study questions here. We have arranged hundreds of such questions chapter-wise on the myCBSEguide App. It is the complete guide for CBSE students. You can download the myCBSEguide App and get more case study questions there.

Case Study Question – 1

  • A is a diagonal matrix
  • A is a scalar matrix
  • A is a zero matrix
  • A is a square matrix
  • If A and B are two matrices such that AB = B and BA = A, then B 2 is equal to

Case Study Question – 2

  • 4(x 3  – 24x 2   + 144x)
  • 4(x 3 – 34x 2   + 244x)
  • x 3  – 24x 2   + 144x
  • 4x 3  – 24x 2   + 144x
  • Local maxima at x = c 1
  • Local minima at x = c 1
  • Neither maxima nor minima at x = c 1
  • None of these

Case Study Questions Matrices -1

Answer Key:

Case Study Questions Matrices – 2

Read the case study carefully and answer any four out of the following questions: Once a mathematics teacher drew a triangle ABC on the blackboard. Now he asked Jose,” If I increase AB by 11 cm and decrease the side BC by 11 cm, then what type of triangle it would be?” Jose said, “It will become an equilateral triangle.”

Again teacher asked Suraj,” If I multiply the side AB by 4 then what will be the relation of this with side AC?” Suraj said it will be 10 cm more than the three times AC.

Find the sides of the triangle using the matrix method and  answer the following questions:

  • (a) 3  ×  3

Case Study Questions Determinants – 01

DETERMINANTS:  A determinant is a square array of numbers (written within a pair of vertical lines) that represents a certain sum of products. We can solve a system of equations using determinants, but it becomes very tedious for large systems. We will only do 2 × 2 and 3 × 3 systems using determinants. Using the properties of determinants solve the problem given below and answer the questions that follow:

Three shopkeepers Ram Lal, Shyam Lal, and Ghansham are using polythene bags, handmade bags (prepared by prisoners), and newspaper envelopes as carrying bags. It is found that the shopkeepers Ram Lal, Shyam Lal, and Ghansham are using (20,30,40), (30,40,20), and (40,20,30) polythene bags, handmade bags, and newspapers envelopes respectively. The shopkeeper’s Ram Lal, Shyam Lal, and Ghansham spent ₹250, ₹270, and ₹200 on these carry bags respectively.

  • (b) Shyam Lal
  • (a) Ram Lal

Case Study Questions Determinants – 02

Case study questions application of derivatives.

  • R(x) = -x 2  + 200x + 150000
  • R(x) = x 2  – 200x – 140000
  • R(x) = 200x 2  + x + 150000
  • R(x) = -x 2  + 100 x + 100000
  • R'(x) > 0
  • R'(x) < 0
  • R”(x) = 0
  • (a) -x 2  + 200x + 150000
  • (a) R'(x) = 0
  • (c) 257, -63

Case Study Questions Vector Algebra

  • tan−1⁡(5/12)
  • tan−1⁡(12/3)
  • (b) 130 m/s
  • (a)  tan−1⁡(5/12)
  • (b) 170 m/s

More Case Study Questions

These are only some samples. If you wish to get more case study questions for CBSE class 12 maths, install the myCBSEguide App. It has class 12 Maths chapter-wise case studies with solutions.

12 Maths Exam pattern

Question Paper Design of CBSE class 12 maths is as below. It clearly shows that 20% weightage will be given to HOTS questions. Whereas 55% of questions will be easy to solve.

  • No. chapter-wise weightage. Care to be taken to cover all the chapters
  • Suitable internal variations may be made for generating various templates keeping the overall weightage to different forms of questions and typology of questions the same.

Choice(s): There will be no overall choice in the question paper. However, 33% of internal choices will be given in all the sections

12 Maths Prescribed Books

  • Mathematics Part I – Textbook for Class XII, NCERT Publication
  • Mathematics Part II – Textbook for Class XII, NCERT Publication
  • Mathematics Exemplar Problem for Class XII, Published by NCERT
  • Mathematics Lab Manual class XII, published by NCERT

Test Generator

Create question paper PDF and online tests with your own name & logo in minutes.

Question Bank, Mock Tests, Exam Papers, NCERT Solutions, Sample Papers, Notes

Related Posts

  • CBSE Reduced Syllabus Class 10 (2020-21)
  • CBSE Class 10 Maths Sample Paper 2020-21
  • Case Study Class 10 Maths Questions
  • Competency Based Learning in CBSE Schools
  • Class 11 Physical Education Case Study Questions
  • Class 11 Sociology Case Study Questions
  • Class 12 Applied Mathematics Case Study Questions
  • Class 11 Applied Mathematics Case Study Questions

1 thought on “Class 12 Maths Case Study Questions”

plz provide solutions too

Leave a Comment

Save my name, email, and website in this browser for the next time I comment.

CBSE Expert

Case Study Questions for Class 12 Maths PDF Download

We have provided here Case Study questions for the Class 12 Maths for board exams. You can read these chapter-wise Case Study questions. These questions are prepared by subject experts and experienced teachers. The answer key is also provided so that you can check the correct answer for each question. Practice these questions to score well in your final exams.

case study class 12 maths

CBSE 12th Standard CBSE Maths question papers, important notes, study materials, Previous Year questions, Syllabus, and exam patterns. Free 12th Standard CBSE Maths books and syllabus online. Important keywords, Case Study Questions, and Solutions.

Class 12 Maths Case Study Questions

CBSE Class 12 Maths question paper will have case study questions too. These case-based questions will be objective type in nature. So, Class 12 Maths students must prepare themselves for such questions. First of all, you should study NCERT Textbooks line by line, and then you should practice as many questions as possible.

Chapter-wise Solved Case Study Questions for Class 12 Maths

Class 12 students should go through important Case Study problems for Maths before the exams. This will help them to understand the type of Case Study questions that can be asked in Grade 12 Maths examinations. Our expert faculty for standard 12 Maths have designed these questions based on the trend of questions that have been asked in last year’s exams. The solutions have been designed in a manner to help the grade 12 students understand the concepts and also easy to learn solutions.

Books for Class 12 Maths

Strictly as per the new term-wise syllabus for Board Examinations to be held in the academic session 2022-23 for class 12 Multiple Choice Questions based on new typologies introduced by the board- Stand-Alone MCQs, MCQs based on Assertion-Reason Case-based MCQs. Include Questions from CBSE official Question Bank released in April 2022 Answer key with Explanations What are the updates in the book: Strictly as per the Term wise syllabus for Board Examinations to be held in the academic session 2022-23. Chapter-wise -Topic-wise Multiple choice questions based on the special scheme of assessment for Board Examination for Class 12th.

case study class 12 maths

Leave a Comment Cancel reply

Save my name, email, and website in this browser for the next time I comment.

Download India's best Exam Preparation App Now.

Key Features

  • Revision Notes
  • Important Questions
  • Previous Years Questions
  • Case-Based Questions
  • Assertion and Reason Questions

No thanks, I’m not interested!

Search This Blog

Cbse mathematics.

Basic concepts, definitions and formulas of mathematics, mathematics assignments for 9th standard to 10+2 standard, maths study material for 8th, 9th, 10th, 11th, 12th classes, Mathematics lesson plan for classes 8th,10th and 12th standard, Interesting maths riddles and maths magic, Class-wise mathematics study material for students from 8th to 12. A complete resource centre of mathematics for students and teachers

Featured Posts

Mathematics lab manual class xi | 22 activities, case study based questions class xii,  mathematics.

case study class 12 maths

Case study questions on Relations & Functions, Matrices, Determinants, Applications of Derivatives, Applications of Integral, Differential equations, Vector Algebra, three dimensional Geometry and Probability etc.

CASE STUDY-1 CHAPTER -1 

Relations & functions.

A general election of Lok Sabha is a gigantic exercise. About 911 million people were eligible to vote and voter turnout was about 67%, the highest ever

case study class 12 maths

Let I be the set of all citizens of India who were eligible to exercise their voting right in general election held in 2019. A relation ‘R’ is defined on I as follows:

R = {( 𝑉 1, 𝑉 2) ∶ 𝑉 1, 𝑉 2 ∈ 𝐼 and both use their voting right in general election – 2019}

Q1) Two neighbors X and Y ∈ I. X exercised his voting right while Y did not cast her vote in general election – 2019. Which of the following is true?

a) (X, Y) ∈ R

b) (Y, X) ∈ R

c) (X, X) ∉ R

d) (X, Y) ∉ R

2. Mr.’ 𝑋 ’ and his wife ‘ 𝑊 ’both exercised their voting right in general election -2019, Which of the following is true?

a) both (X, W) and (W, X) ∈ R

b)  (X, W) ∈ R but (W, X) ∉ R

c)  both (X, W) and (W, X) ∉ R

d)  (W, X) ∈ R but (X, W) ∉ R

Q3) Three friends F1, F2 and F3 exercised their voting right in general election-2019, then which of the following is true?

a) (F1, F2 ) ∈ R, (F2, F3) ∈ R and (F1,F3) ∈ R

b) (F1, F2 ) ∈ R, (F2,F3) ∈ R and (F1,F3) ∉ R

c) (F1, F2 ) ∈ R, (F2,F2) ∈ R but (F3,F3) ∉ R

d) (F1, F2 ) ∉ R, (F2,F3) ∉ R and (F1,F3) ∉ R

4. The above defined relation R is ______

a) Symmetric and transitive but not reflexive

b) Universal relation

c) Equivalence relation

d) Reflexive but not symmetric and transitive

5. Mr. Shyam exercised his voting right in General Election – 2019, then Mr. Shyam is related to which of the following?

a) All those eligible voters who cast their votes

b) Family members of Mr. Shyam

c) All citizens of India

d) Eligible voters of India

CASE STUDY-2 CHAPTER -1 

Sherlin and Danju are playing Ludo at home during Covid-19. While rolling the dice, Sherlin’s sister Raji observed and noted the possible outcomes of the throw every time belongs to set {1,2,3,4,5,6}. Let A be the set of players while B be the set of all possible outcomes

case study class 12 maths

A = {S, D}, B = {1,2,3,4,5,6}

Q1. Let 𝑅 ∶ 𝐵 → 𝐵 be defined by R = {( 𝑥 , 𝑦 ): 𝑦 𝑖𝑠 𝑑𝑖𝑣𝑖𝑠𝑖𝑏𝑙𝑒 𝑏𝑦 𝑥 } is

a) Reflexive and transitive but not symmetric

b) Reflexive and symmetric and not transitive

c) Not reflexive but symmetric and transitive

d) Equivalence

2. Raji wants to know the number of functions from A to B. How many number of functions are possible?

3. Let R be a relation on B defined by R = {(1,2), (2,2), (1,3), (3,4), (3,1), (4,3), (5,5)}. Then R is

a) Symmetric

b) Reflexive

c) Transitive

d) None of these three

4. Raji wants to know the number of relations possible from A to B. How many numbers of relations are possible?

5. Let 𝑅 : 𝐵 → 𝐵 be defined by R={(1,1),(1,2), (2,2), (3,3), (4,4), (5,5),(6,6)}, then R is

b) Reflexive and Transitive

c) Transitive and symmetric

CASE STUDY-1 CHAPTER -3 

A manufacture produces three stationery products Pencil, Eraser and Sharpener which he sells in two markets. Annual sales are indicated below

case study class 12 maths

If the unit Sale price of Pencil, Eraser and Sharpener are Rs. 2.50, Rs. 1.50 and Rs. 1.00 respectively, and unit cost of the above three commodities are Rs. 2.00, Rs. 1.00 and Rs. 0.50 respectively, then,

Based on the above information answer the following:

1) Total revenue of market A

a) Rs. 64,000

b) Rs. 60,400

c) Rs. 46,000

d) Rs. 40600

2) Total revenue of market B

a) Rs. 35,000

b) Rs. 53,000

c) Rs. 50,300

d) Rs. 30,500

3) Cost incurred in market A

a) Rs. 13,000

b) Rs.30,100

c) Rs. 10,300

d) Rs. 31,000

4) Profit in market A and B respectively are

a) (Rs. 15,000, Rs. 17,000)

b) (Rs. 17,000, Rs. 15,000)

c) (Rs. 51,000, Rs. 71,000)

d) ( Rs. 10,000, Rs. 20,000)

5) Gross profit in both market

a) Rs.23,000

b) Rs. 20,300

c) Rs. 32,000

d) Rs. 30,200

CASE STUDY-2 CHAPTER -3 

CASE STUDY 2: 

Amit, Biraj and Chirag were given the task of creating a square matrix of order 2. Below are the matrices created by them. A, B , C are the matrices created by Amit, Biraj and Chirag respectively. 

case study class 12 maths

  If a = 4 and b = −2, based on the above information answer the following:

1. Sum of the matrices A, B and C , A+( 𝐵 + 𝐶 ) is

case study class 12 maths

2. ( 𝐴 𝑇 ) 𝑇 is equal to

case study class 12 maths

3. ( 𝑏𝐴 ) 𝑇  is equal to

case study class 12 maths

4. AC−𝐵𝐶 is equal to

case study class 12 maths

5. (𝑎 + 𝑏)𝐵 is equal to

case study class 12 maths

  Case study based questions

Chapter - 6 Class XII

Application of Derivatives

Case Study - 1

Read the following passage and answer the questions given below.

case study class 12 maths

The temperature of a person during an intestinal illness is given by

f(x) = - 0.1x 2  + mx + 98.6,  0≤  x  ≤   12, m being a constant, where f(x) is the temperature in  o F at x days.

(i) Is the function differentiable in the interval  (0, 12) ? Justify your answer.

(ii) If 6 is the critical point of the function, then find the value of the constant m

(iii) Find the intervals in which the function is strictly increasing/strictly decreasing.

(i) Yes it is differentiable in (0, 12) because f(x) is a polynomial function which is differentiable at everywhere.

(ii) m = 1.2

(iii) f is strictly increasing in [0, 6]

*****************************

Case study based questions

Chapter -13 Class XII

Probability

Case Study 1

The reliability of a COVID PCR test is specified as follows:

Of people having COVID, 90% of the test detects the disease but 10% goes undetected.

Of people free of COVID, 99% of the test is judged COVID negative but 1% are diagnosed as showing COVID positive. From a large population of which only 0.1% have COVID, one person is selected at random, given the COVID PCR test, and the pathologist reports him/her as COVID positive.

case study class 12 maths

Based on the above information, answer the following

1) What is the probability of the ‘person to be tested as COVID positive’ given that ‘he is actually having COVID?

2) What is the probability of the ‘person to be tested as COVID positive’ given that ‘he is actually not having COVID’?

3) What is the probability that the ‘person is actually not having COVID?

4) What is the probability that the ‘person is actually having COVID given that ‘he is tested as COVID positive’?

5) What is the probability that the ‘person selected will be diagnosed as COVID positive’?

Read the following passage and answer the questions given below:

In an Office three employees James, Sophia and Oliver process incoming copies of a certain form. James processes 50% of the forms, Sophia processes 20% and Oliver the remaining 30% of the forms. James has an error rate of 0.06 , Sophia has an error rate of 0.04 and Oliver has an error rate of 0.03 .

case study class 12 maths

Based on the above information, answer the following questions.

(i) Find the probability that Sophia processed the form and committed an error.

(ii) Find the total probability of committing an error in processing the form.

(iii) The manager of the Company wants to do a quality check. During inspection, he selects a form at random from the days output of processed form. If the form selected at random has an error, find the probability that the form is not processed by James.

(iii) Let E be the event of committing an error in processing the form and let  E 1 , E 2 and E 3  

 be the events that James, Sophia and Oliver processed the form. Find the value of

equation

Post a Comment

Breaking news, popular post on this blog, lesson plan maths class 10 | for mathematics teacher.

Image

Theorems on Quadrilaterals Ch-8 Class-IX

Image

Lesson Plan Math Class 10 (Ch-1) | Real Numbers

Image

  • Assignment 10 15
  • Assignment 11 12
  • Assignment 12 14
  • Assignment 8 4
  • Assignment 9 5
  • Lesson plan 10 15
  • Lesson Plan 12 13
  • Lesson Plan 8 10
  • Maths 10 20
  • Maths 11 20
  • Maths 12 16

SUBSCRIBE FOR NEW POSTS

Get new posts by email:.

Level Up Academy

CBSE Case Study Questions for Class 12 Maths Matrices Free PDF

Featured image website

Mere Bacchon, you must practice the CBSE Case Study Questions Class 12 Maths Matrices  in order to fully complete your preparation . They are very very important from exam point of view. These tricky Case Study Based Questions can act as a villain in your heroic exams!

I have made sure the questions (along with the solutions) prepare you fully for the upcoming exams. To download the latest CBSE Case Study Questions , just click ‘ Download PDF ’.

CBSE Case Study Questions for Class 12 Maths Matrices PDF

Mcq set 1 -, mcq set 2 -, checkout our case study questions for other chapters.

  • Chapter 1 Relations and Functions Case Study Questions
  • Chapter 2 Inverse Trigonometric Functions Case Study Questions
  • Chapter 4 Determinants Case Study Questions
  • Chapter 5 Continuity and Differentiability Case Study Questions

How should I study for my upcoming exams?

First, learn to sit for at least 2 hours at a stretch

Solve every question of NCERT by hand, without looking at the solution.

Solve NCERT Exemplar (if available)

Sit through chapter wise FULLY INVIGILATED TESTS

Practice MCQ Questions (Very Important)

Practice Assertion Reason & Case Study Based Questions

Sit through FULLY INVIGILATED TESTS involving MCQs. Assertion reason & Case Study Based Questions

After Completing everything mentioned above, Sit for atleast 6 full syllabus TESTS.

Comments are closed.

Contact Form

Privacy Policy

case study class 12 maths

Class 12 CBSE A.O.D ML AGGARWAL Case Study

Please select, case-study-1 a political party placed an order to a screen printer for the printing of party's slogan on a rectangular cloth sheets. a margin of 2.5 cm along length and 1 cm along width of cloth was left. the pictorial view of the slogan in shown below: if the total area of cloth is 640 cm2, based on the above information, answer the following questions: (i) the length and the breadth (in cm) of the rectangular part on which the slogan is printed respectively are (a)x-2.5, y-1 (b) x-5,y-2 (c) x-2,y-5 (d) x-5,y-1 (ii) the relation between x and y is (a) (x-2.5)(y-1)=640 (b) (x-5)(y-2)=640 (c) xy=640 (d) (x-2)(y-5)= (iii) area 'a' of cloth on which slogan matter was written is given by (a) 650-2x-3200/x (b) 650+2x+ 3200/x (c) 600-2x-3200/x (d) 600 +2x + 3200/x (iv) what is the value of x for which the printing area is maximum (a) 16 cm (b) 40 cm (c) 14 cm (d) 11 cm (v) what is the value of 'a' when printing of slogan is done on maximum area (a) 640 cm² (b) 418 cm² (c) 490 cm² (d) none of these.

case study class 12 maths

Case-study-2 Saloni has a piece of tin rectangular in shape as shown in the diagram given below. She is going to cut squares from each corners and fold up the sides to form an open box. Based on the above information, answer the following questions: (i) If x is the side of square cut off from each corner of the sheet, then what is the length of open box? (a) 45-x (b) 45-2x (c) 45 +2x (d) none of these (ii) What is width of open box? (a) 24-x (b) 24+ x (c) 24-2x (d) none of these (iii) Volume 'V' of open box is given by (a) V = (45-x)(24-x) x (b) V=(45+x)(24+x) x (c) V=(45+2x) (24+2x) x (d) V=(45-2x)(24-2x) x (iv) What should be the side of square to be cut off so that the volume of box is maximum? (a) 18 cm (b) 5 cm (c) both (a) and (b) (d) none of these (v) The maximum value of V (in cm³) is (a) 5400 (b) 4200 (c) 3600 (d) 2450

case study class 12 maths

Case-study-3 A company is planning to launch a new product and decides to pack the new product in closed right circular cylindrical cans of volume 432 πcm³. The cans are to be made from tin sheet. The company tried different options. Based on the above information, answer the following questions: (i) If 7 cm is the radius of the base of the cylinder and h cm is height, then (a) rh=216 (b) r(r+h)=216 (c) rh² = 432 (d) r 2 h=432 (ii) If S cm² is the surface area of the closed cylindrical can, then (a) S= 2π (r 2 +432/r) (b) S= π (r 2 +864/r) (c) S= π (r 2 +432/r) (d) S= 432π/r (iii) For S to be minimum r is equal to (a) 3 cm (b) 6 cm (c) 8 cm (d) 12 cm (iv) Minimum surface area of cylindrical can is (a) 54 πcm 2 (b) 108 πcm² (c) 216 πcm² (d) none of these (v) The relation between the radius and the height of cylindrical area is (a) height is equal to radius of base (b) height is equal to twice the radius of base (c) radius is equal to twice the height (d) radius is two-third of the height.

case study class 12 maths

Case-study-4 A factory owner wants to construct a tank with rectangular base and rectangular sides, open at the top, so that its depth is 2 m and capacity is 8 m³. The building of the tank costs ₹250 per square metre for the base and ₹180 per square metre for the sides. Based on the above information, answer the following questions: (i) If the length and the breadth of the rectangular base of the tank are x metres and mimiy metres respectively, then the relation between x and y is (a)x+y=4 (b) xy=4 (c) xy=8 (d) xy+x+y=4 (ii) The cost of construction of the sides of the tank is (a) ₹180 (x+y) (b) ₹360 (x+y) (c) ₹720 (x + y) (d) ₹1120 (x+y) (iii) If C (in ₹) is the cost of construction of the tank, then C as a function of x is (d) C= 1120 + 720 (x+4/x) (b) C=720+1120 (x+4/x) (c) C=1120+360 (x+4/x) (d) C=1120+180 (x+4/x) (iv) The cost of construction of the tank is least when the value of x is (a) 1 (b) 3 /2 (c) 2 (d) 3 (v) The least cost of construction of the tank is (a) ₹2000 (b) ₹3000 (c)₹3600 (d) ₹4000

case study class 12 maths

Case-study-5 A carpenter has a wire of length 28 m. He wants to cut into two pieces, one of the two pieces is to be made into a square and other into a circle. Based on the above information, answer the following questions: (i)If x metres wire is used in making a square, then what is the expression of combined area A? (ii) What is the length of radius for minimum combined area? (a) 28/π+4 (b) 112/π+4 (c) 14/π+4 (d) none of these (iii) What is the length of circular part? (a) 28/π+4 (b) 14/π+4 (c) 14π/π+4 (d) 28π/π+4 (iv) What is the length of square part? (a) 112/π+4 (b) 112π/π+4 (c) 14π/π+4 (d) 28/π+4 (v) The minimum combined area of square and circle is (a) 196/π+4 m 2 (b) 196/(π+4) 2 m 2 (c) 196/π-4 m 2 (d) none of these

case study class 12 maths

Case-study-6 A firm has the cost function C(x)=x 3 /3-7x 2 + 111x +50 and demand function x = 100-p. Based on the above information, answer the following questions: (i) The total revenue function is (a) R(x) = x²-100x (b) R(x) = 100x-x 2 (c) R(x) = 100-x (d) none of these (ii) The total profit function is (a)-x 3 /3 +6x²-11x-50 (b)-x 3 /3-6x²-11x+50 (c)x 3 /3+6x²-11x+50 (d) -x 3 /3-6x²-11x+50 (iii) The value of x for which profit is maximum is (a) 8 (b) 9 (c) 10 (d) 11 (iv) The maximum profit is (a) ₹133.11 (b) ₹113.31 (c) ₹111.33 (d) ₹133.11 (b) The marginal revenue when x = 10 units is (a) 900 (b) 80 (c) 90 (d) 800

case study class 12 maths

Case-study-7 The average cost function associated with producing and marketing x units of an item is given by 50 AC=2x-11 + 50/x Based on the above information, answer the following questions: (i) The total cost function is (a) C(x)=2x²-11x+50 (b) C(x)=2- 50/x 2 (c) C(x)=2x- 50/x (d) C(x)=2x²+11x-50 (ii) The marginal cost function is (a) MC=4x+ 11 (b) MC=4x-11 (c) MC = 2 + 50/x 2 (d) MC= 100/x 3 (iii) The marginal cost when x = 4 units is (a) ₹5 (b) ₹27 (c) ₹18 (d) ₹13 (iv) The range of values of x for which AC is increasing is (a) x (b) x>-5 (c) x (d) x>5 (v) The range of values of x for which total cost is decreasing is (a) x ≤ 11/4 (b) x ≥ 11/4 (c) x (d) x>-11/4

case study class 12 maths

ISC Class 12 Math Answer Key 2024, Important Math Questions_00.1

ISC Class 12 Math Answer Key 2024 PDF, Important Maths Questions

Students can use ISC Class 12 Math answer key 2024 to calculate marks. Access ISC Math Qusetion Paper 2024 after exam and Practice Important Questions below.

ISC Class 12 Math Answer Key 2024, Important Math Questions_20.1

Table of Contents

ISC Class 12 Math Answer Key 2024

The ISC Class 12 Math 2024 Examination held on 20th February 2024, by the Council of Indian School Certificate Examinations (CISCE). The ISC Class 12 Maths Syllabus for the academic year 2023-24 covers various mathematical topics, including relations and functions, algebra, calculus, three-dimensional geometry, integral, probability, vectors, calculus applications, linear regression, and linear programming.

This class 12 School Certificate exam is administered once a year. The Class 12 Math Paper 2024  concluded at 5 p.m. on Tuesday. The ISC Math Question Paper 2024 and ISC Class 12 Math Answer Key 2024 PDF Download Link is available here. Also Check out some important mathematics questions below, you can take it as an ISC Math 12th Suggestion 2024 for next year.

ISC Math Answer Key 2024

The ISC Class 12 Math Question Paper 2024 (theory paper) has a total weightage of 80 marks. The Class 12th Mathematics syllabus additionally features a 20-mark project work. The ISC Class 12 Math answer key 2024 contains the correct answers to all of the questions. The exams last three hours and are scheduled from 2 to 5 p.m. Students were given an additional 15 minutes to read the paper. Check out the ISC maths questions and answers for 2024 related information below.

Get Free Class 12 Science Study Materials

ISC Class 12 Math Answer Key 2024, Important Math Questions_30.1

ISC Class 12 Math Question Paper 2024: Analysis

Students can use the unofficial answer key, which posted soon in the space below. The full solution to ISC Maths paper 2024 is displayed here at the end of the exam on February 20th. The official ISC Math Answer Key 2024 and other Class 12 subjects will be published after all exams are completed on April 3, 2024.

SECTION A -65 MARKS

Question 1 In subparts (i) to (x) choose the correct options and in subparts (xi) to (xv), answer the questions as instructed. (i) Let L be a set of all straight lines in a plane. The relation Ron L defined as ‘perpendicular to’ is:[1] (a) Symmetric and Transitive (b) Transitive (c) Symmetric (ANS) (d) Equivalence

ISC Class 12 Math Answer Key 2024, Important Math Questions_40.1

(iii) Let A be a non-empty set. Statement 1: Identity relation on A is Reflexive. Statement 2: Every Reflexive relation on A is an Identity relation. (a) Both the statements are true. (b) Both the statements are false. c) Statement 1 is true and Statement 2 is false. (ANS) (d) Statement 1 is false and Statement 2 is true.

(iv) The graph of the function is shown below.

ISC Class 12 Math Answer Key 2024, Important Math Questions_50.1

More ISC Math Class 12 Questions 2024 with Answers is provided in the pdf

ISC Math 12th Questions with Answer Key 2024

After the exam students can match their answers from the table given below. Then they can predict how much they did correct, and the total score they can expect in the exam.

Students understand that we can use the ISC answer key to calculate their approximate marks. Students can use them to see which questions they answered correctly on the exam. Students who will write the paper next year can learn about the exam format by reviewing the Class 12 Math Question Paper 2024. Students can access the expert-provided answer key for ISC Math Paper 2024 through the links provided below.

ISC Class 12 Math Answer Key 2024, Important Math Questions_60.1

ISC Math Specimen Paper 2024: Important Questions

In the meantime, students must review the important concepts of all the important chapters the best way to do this is to revise the full ISC Maths specimen paper. Here we are providing the Class 12 maths specimen paper click the link below, download the question paper, and review all the problems of Section A and Section B, more important ICS maths 12th questions 2024 unloading soon.

ISC Maths Specimen paper 2024 Class 12 PDF Download Link with Answers

Check out some important maths questions for the ISC Class 12 Math exam –

ISC Class 12 Math Answer Key 2024, Important Math Questions_70.1

  •  Statement 1: The function 𝑓: 𝑁 ⟶ 𝑁 given by f(x) = 5x is one to one and onto. Statement 2: The function 𝑓: 𝑅 ⟶ 𝑅 given by f(x) = 5x is one to one and onto. [1] Which one of the following options is correct?

(a) Both the statements are true. (b) Both the statements are false. (c) Statement 1 is true and Statement 2 is false. (d) Statement 1 is false and Statement 2 is true.

ISC Class 12 Math Answer Key 2024, Important Math Questions_80.1

  • Question 11                                        [6] Garima owns a cafe that serves burgers, samosas, and juice bottles. On a particular day, 100 items in total were sold. The number of burgers sold was thrice the number of samosas sold. Also, the number of samosas sold was 10 more than the number of juice bottles sold.(i) Form a set of simultaneous equations for the above information. (ii) Solve the set of equations formed in (i) by matrix method. (iii) Hence, find the number of items sold in each category.

ISC Class 12 Math Answer Key 2024, Important Math Questions_100.1

Sharing is caring!

How can I get all the answers of ISC class 12 math question Paper 2024?

The ISC Math Question Paper 2024 and ISC Class 12 Math Answer Key 2024 PDF Download Link is available here.

  • Question Paper

UP Board Class 12 Biology Model Paper 2024 with Solutions

Leave a comment

Your email address will not be published. Required fields are marked *

Save my name, email, and website in this browser for the next time I comment.

ISC Class 12 Math Answer Key 2024, Important Math Questions_120.1

Trending Articles

  • CBSE Admit Card 2024
  • CBSE Date Sheet 2024 for Class 10 and 12
  • ICSE Date Sheet 2024
  • JEE Mains Syllabus 2024 [Reduced]
  • NEET Syllabus 2024 [Reduced]
  • NEET 2024 Exam Date
  • JEE Mains 2024 Exam Date
  • CUET 2024 Exam Date
  • SSC GD Admit Card 2024

CBSE Board Exam 2024

  • CBSE Class 10 Answer Key All Subjects 
  • CBSE Class 12 Answer key All Subjects 
  • CBSE Class 10 Syllabus 2024 
  • CBSE Class 12 Syllabus 2024 
  • CBSE Previous Year Papers  
  • CUET Syllabus
  • CUET Previous Year paper
  • CUET Participating College & Universities
  • JEE Main 2024  
  • JEE Main Syllabus 2024  
  • JEE Main Exam Analysis 2023  
  • NEET 2024  
  • NEET Syllabus 2024
  • NEET State wise Cut off
  • NEET Rank Predictor  
  • NEET OMR Sheet
  • NEET College Predictor

Recent Posts

Important exams, ncert solutions.

  • NCERT Class 12
  • NCERT Class 11
  • NCERT Class 10
  • NCERT Class 9

NCERT Books

School syllabus.

  • CBSE Class 12
  • CBSE Class 11
  • CBSE Class 10
  • CBSE Class 9
  • CBSE Result
  • JEE Mains 2024

Our Other Websites

  • Teachers Adda
  • Bankers Adda
  • Adda Malayalam
  • Adda Punjab
  • Current Affairs
  • Defence Adda
  • Adda Bengali
  • Engineers Adda
  • Adda Marathi
  • Adda School

ISC Class 12 Math Answer Key 2024, Important Math Questions_300.1

Get all your queries solved in one single place. We at Adda247 school strive each day to provide you the best material across the online education industry. We consider your struggle as our motivation to work each day.

Download Adda247 App

ISC Class 12 Math Answer Key 2024, Important Math Questions_310.1

Follow us on

youtube

  • Responsible Disclosure Program
  • Cancellation & Refunds
  • Terms & Conditions
  • Privacy Policy

Self Studies

  • Andhra Pradesh
  • Chhattisgarh
  • West Bengal
  • Madhya Pradesh
  • Maharashtra
  • Jammu & Kashmir
  • NCERT Books 2022-23
  • NCERT Solutions
  • NCERT Notes
  • NCERT Exemplar Books
  • NCERT Exemplar Solution
  • States UT Book
  • School Kits & Lab Manual
  • NCERT Books 2021-22
  • NCERT Books 2020-21
  • NCERT Book 2019-2020
  • NCERT Book 2015-2016
  • RD Sharma Solution
  • TS Grewal Solution
  • DK Goel Solution
  • TR Jain Solution
  • Selina Solution
  • Frank Solution
  • ML Aggarwal Solution
  • Lakhmir Singh and Manjit Kaur Solution
  • I.E.Irodov solutions
  • ICSE - Goyal Brothers Park
  • ICSE - Dorothy M. Noronhe
  • Sandeep Garg Textbook Solution
  • Micheal Vaz Solution
  • S.S. Krotov Solution
  • Evergreen Science
  • KC Sinha Solution
  • ICSE - ISC Jayanti Sengupta, Oxford
  • ICSE Focus on History
  • ICSE GeoGraphy Voyage
  • ICSE Hindi Solution
  • ICSE Treasure Trove Solution
  • Thomas & Finney Solution
  • SL Loney Solution
  • SB Mathur Solution
  • P Bahadur Solution
  • Narendra Awasthi Solution
  • MS Chauhan Solution
  • LA Sena Solution
  • Integral Calculus Amit Agarwal Solution
  • IA Maron Solution
  • Hall & Knight Solution
  • Errorless Solution
  • Pradeep's KL Gogia Solution
  • OP Tandon Solutions
  • Sample Papers
  • Previous Year Question Paper
  • Value Based Questions
  • CBSE Syllabus
  • CBSE MCQs PDF
  • Assertion & Reason
  • New Revision Notes
  • Revision Notes
  • HOTS Question
  • Marks Wise Question
  • Toppers Answer Sheets
  • Exam Paper Aalysis
  • Concept Map
  • CBSE Text Book
  • Additional Practice Questions
  • Vocational Book
  • CBSE - Concept
  • KVS NCERT CBSE Worksheets
  • Formula Class Wise
  • Formula Chapter Wise
  • JEE Crash Course
  • JEE Previous Year Paper
  • Important Info
  • JEE Mock Test
  • SRM-JEEE Mock Test
  • VITEEE Mock Test
  • BITSAT Mock Test
  • Manipal Engineering Mock Test
  • AP EAMCET Previous Year Paper
  • COMEDK Previous Year Paper
  • GUJCET Previous Year Paper
  • KCET Previous Year Paper
  • KEAM Previous Year Paper
  • Manipal Previous Year Paper
  • MHT CET Previous Year Paper
  • WBJEE Previous Year Paper
  • AMU Previous Year Paper
  • TS EAMCET Previous Year Paper
  • SRM-JEEE Previous Year Paper
  • VITEEE Previous Year Paper
  • BITSAT Previous Year Paper
  • Crash Course
  • Previous Year Paper
  • NCERT Based Short Notes
  • NCERT Based Tests
  • Previous Year Papers
  • Quantitative Aptitude
  • Numerical Aptitude Data Interpretation
  • General Knowledge
  • Mathematics
  • Agriculture
  • Accountancy
  • Business Studies
  • Political science
  • Enviromental Studies
  • Mass Media Communication
  • Teaching Aptitude
  • NAVODAYA VIDYALAYA
  • SAINIK SCHOOL (AISSEE)
  • Mechanical Engineering
  • Electrical Engineering
  • Electronics & Communication Engineering
  • Civil Engineering
  • Computer Science Engineering
  • CBSE Board News
  • Scholarship Olympiad
  • School Admissions
  • Entrance Exams
  • All Board Updates
  • Miscellaneous
  • State Wise Books
  • Engineering Exam

Case Study on Probability Class 12 Maths PDF

The passage-based questions are commonly known as case study questions. Students looking for Case Study on Probability Class 12 Maths can use this page to download the PDF file. 

The case study questions on Probability are based on the CBSE Class 12 Maths Syllabus, and therefore, referring to the Probability case study questions enable students to gain the appropriate knowledge and prepare better for the Class 12 Maths board examination. Continue reading to know how should students answer it and why it is essential to solve it, etc.

Case Study on Probability Class 12 Maths with Solutions in PDF

Our experts have also kept in mind the challenges students may face while solving the case study on Probability, therefore, they prepared a set of solutions along with the case study questions on Probability.

The case study on Probability Class 12 Maths with solutions in PDF helps students tackle questions that appear confusing or difficult to answer. The answers to the Probability case study questions are very easy to grasp from the PDF - download links are given on this page.

Why Solve Probability Case Study Questions on Class 12 Maths?

There are three major reasons why one should solve Probability case study questions on Class 12 Maths - all those major reasons are discussed below:

  • To Prepare for the Board Examination: For many years CBSE board is asking case-based questions to the Class 12 Maths students, therefore, it is important to solve Probability Case study questions as it will help better prepare for the Class 12 board exam preparation.
  • Develop Problem-Solving Skills: Class 12 Maths Probability case study questions require students to analyze a given situation, identify the key issues, and apply relevant concepts to find out a solution. This can help CBSE Class 12 students develop their problem-solving skills, which are essential for success in any profession rather than Class 12 board exam preparation.
  • Understand Real-Life Applications: Several Probability Class 12 Maths Case Study questions are linked with real-life applications, therefore, solving them enables students to gain the theoretical knowledge of Probability as well as real-life implications of those learnings too.

How to Answer Case Study Questions on Probability?

Students can choose their own way to answer Case Study on Probability Class 12 Maths, however, we believe following these three steps would help a lot in answering Class 12 Maths Probability Case Study questions.

  • Read Question Properly: Many make mistakes in the first step which is not reading the questions properly, therefore, it is important to read the question properly and answer questions accordingly.
  • Highlight Important Points Discussed in the Clause: While reading the paragraph, highlight the important points discussed as it will help you save your time and answer Probability questions quickly.
  • Go Through Each Question One-By-One: Ideally, going through each question gradually is advised so, that a sync between each question and the answer can be maintained. When you are solving Probability Class 12 Maths case study questions make sure you are approaching each question in a step-wise manner.

What to Know to Solve Case Study Questions on Class 12 Probability?

 A few essential things to know to solve Case Study Questions on Class 12 Probability are -

  • Basic Formulas of Probability: One of the most important things to know to solve Case Study Questions on Class 12 Probability is to learn about the basic formulas or revise them before solving the case-based questions on Probability.
  • To Think Analytically: Analytical thinkers have the ability to detect patterns and that is why it is an essential skill to learn to solve the CBSE Class 12 Maths Probability case study questions.
  • Strong Command of Calculations: Another important thing to do is to build a strong command of calculations especially, mental Maths calculations.

Where to Find Case Study on Probability Class 12 Maths?

Use Selfstudys.com to find Case Study on Probability Class 12 Maths. For ease, here is a step-wise procedure to download the Probability Case Study for Class 12 Maths in PDF for free of cost.

Since you are already on this page, you can scroll to the top section of this page to get access to the Case Study on Probability. To help others reach this page let them know these steps:

  • Open Selfstudys.com on your computer/laptop or Smartphone 
  • Once the website gets loaded, click on the navigation button

Case Study on Probability Class 12 Maths, Maths Case Study on Probability Class 12, Class 12 Maths Case Study on Probability, Probability Case Study for Class 12 Maths, Case Study on Probability Class 12 Maths with Solutions, Probability Case Study Questions, Case Study Questions on Probability, Case Study Questions on Class 12 Probability

  • Find CBSE from the given menu

Case Study on Probability Class 12 Maths, Maths Case Study on Probability Class 12, Class 12 Maths Case Study on Probability, Probability Case Study for Class 12 Maths, Case Study on Probability Class 12 Maths with Solutions, Probability Case Study Questions, Case Study Questions on Probability, Case Study Questions on Class 12 Probability

  • Click on Case Study

Case Study on Probability Class 12 Maths, Maths Case Study on Probability Class 12, Class 12 Maths Case Study on Probability, Probability Case Study for Class 12 Maths, Case Study on Probability Class 12 Maths with Solutions, Probability Case Study Questions, Case Study Questions on Probability, Case Study Questions on Class 12 Probability

  • Choose Class 12 
  • Search Maths and then navigate to the Probability Class 12 Maths Case Study

Case Study on Probability Class 12 Maths, Maths Case Study on Probability Class 12, Class 12 Maths Case Study on Probability, Probability Case Study for Class 12 Maths, Case Study on Probability Class 12 Maths with Solutions, Probability Case Study Questions, Case Study Questions on Probability, Case Study Questions on Class 12 Probability

  • NCERT Solutions for Class 12 Maths
  • NCERT Solutions for Class 10 Maths
  • CBSE Syllabus 2023-24
  • Social Media Channels
  • Login Customize Your Notification Preferences

case study class 12 maths

One Last Step...

case study class 12 maths

  • Second click on the toggle icon

case study class 12 maths

  • NEET Materials
  • JEE Materials
  • Banking first yr Materials
  • TNPSC Materials
  • DIPLOMA COURSE Materials
  • 5th Standard Materials
  • 12th Standard Materials
  • 11th Standard Materials
  • 10th Standard Materials
  • 9th Standard Materials
  • 8th Standard Materials
  • 7th Standard Materials
  • 6th Standard Materials
  • 12th Standard CBSE Materials
  • 11th Standard CBSE Materials
  • 10th Standard CBSE Materials
  • 9th Standard CBSE Materials
  • 8th Standard CBSE Materials
  • 7th Standard CBSE Materials
  • 6th Standard CBSE Materials
  • Tamilnadu Stateboard
  • Scholarship Exams
  • Scholarships

case study class 12 maths

CBSE 12th Standard Maths Subject Linear Programming Case Study Questions 2021

By QB365 on 21 May, 2021

QB365 Provides the updated CASE Study Questions for Class 12 Maths, and also provide the detail solution for each and every case study questions . Case study questions are latest updated question pattern from NCERT, QB365 will helps to get  more marks in Exams

QB365 - Question Bank Software

Cbse 12th standard maths linear programming case study questions 2021.

12th Standard CBSE

Final Semester - June 2015

Case Study Questions

Linear programming is a method for finding the optimal values (maximum or minimum) of quantities subject to the constraints when relationship is expressed as linear equations or inequations. Based on the above information, answer the following questions. (i) The optimal value of the objective function is attained at the points

(ii) The graph of the inequality 3x + 4y < 12 is

case study class 12 maths

(iv) The corner points of the feasible region determined by the system of linear constraints are (0, 10), (5, 5), (15, 15), (0, 20). Let Z = px + qy, where p, q > 0. Condition on p and q so that the maximum of Z occurs at both the points (15, 15) and (0, 20) is

(v)  The corner points of the feasible region determined by the system of linear constraints are (0, 0), (0, 40), (20,40), (60,20), (60, 0). The objective function is Z = 4x + 3y. Compare the quantity in Column A and Column B

case study class 12 maths

(ii) The corner points of the feasible region shown in above graph are

(iii) If Z = x + y be the objective function and max Z = 30. The maximum value occurs at point

(iv) If Z = 6x - 9y be the objective function, then maximum value of Z is

(v) If Z = 6x + 3y be the objective function, then what is the minimum value of Z?

Corner points of the feasible region for an LPP are (0, 3), (5, 0), (6, 8), (0, 8). Let Z = 4x - 6y be the objective function. Based on the above information, answer the following questions. (i) The minimum value of Z occurs at

(ii) Maximum value of Z occurs at

(iii) Maximum of Z - Minimumof Z =

case study class 12 maths

(v) The feasible solution of LPP belongs to

case study class 12 maths

(ii) Let the constraints in the given problem is represented by the following inequalities x + y ≤ 20 360x + 240y ≤ 5760 x, y ≥ 0 Then which of the following point lie in its feasible region.

(iii) If the objective function of the given problem is maximise z = 22x + 18y, then its optimal value occur at

(iv) Suppose the following shaded region APDO, represent the feasible region corresponding to mathematical formulation. of given problem. Then which of the following represent the coordinates of one of its corner points.

case study class 12 maths

Let R be the feasible region (convex polygon) for a linear programming problem and let Z = ax + by be the objective function. When Z has an optimal value (maximum or minimum), where the variables x and y are subject to, constraints described by linear inequalities, this optimal value must occur at a corner point (vertex) of the feasible region. Based on the above information, answer the following questions. (i) Objective function of a L.P.P. is

(ii) Which of the following statement is correct?

(iii) In solving the LPP : "minimize f = 6x + 10y subject to constraints x ≥  6, Y ≥ 2, 2x + y  ≥ 10,x  ≥ 0,y ≥ 0" redundant constraints are

case study class 12 maths

*****************************************

Cbse 12th standard maths linear programming case study questions 2021 answer keys.

case study class 12 maths

(iv) (d): Value of Z = px + qy at (15, 15) = 15p + 15q and that at (0, 20) = 20 q. According to given condition, we have 15p + 15q = 20q \(\Rightarrow\) 15p = 5q \(\Rightarrow\) q = 3p (v) (b): Construct the following table of values of the objective function:

(i) (b):  Let B(x, y) be the point of intersection of the given lines 2x + 5y = 100 ....(i) and  \(\frac{x}{25}+\frac{y}{40}=1 \Rightarrow 8 x+5 y=20\) ...(ii) Solving (i) and (ii), we get \(x=\frac{50}{3}, y=\frac{40}{3}\) ஃ The point of intersection \(B(x, y)=\left(\frac{50}{3}, \frac{40}{3}\right)\) (ii) (d): The corner points of the feasible region shown in the given graph are \((0,0), A(25,0), B\left(\frac{50}{3}, \frac{40}{3}\right), C(0,20)\) (iii) (a): Here Z = x + y

Thus, max Z = 30 occurs at point  \(\left(\frac{50}{3}, \frac{40}{3}\right)\) (iv) (b): 

Construct the following table of values of objective function

(i) (d): Minimum value of Z is -48 which occurs at (0,8). (ii) (a): Maximumvalue of Z is 20, which occurs at (5,0). (iii) (b): Maximum of Z - Minimum of Z = 20 - (-48) = 20 + 48 = 68 (iv) (c): The corner points of the feasible region are O(0,0), A(3, 0), B(3, 2), C(2, 3), D(0, 3). (v) (d)

(i) (c) (ii) (b): Since (8, 12) satisfy all the inequalities therefore (8, .1.2) is the point in its feasible region. (iii) (c) : At (0, 0), z = 0 At (16, 0), z = 352 At (8, 12), z = 392 At (0, 20), z = 360 It can be observed that max z occur at (8, 12). Thus, z will attain its optimal value at (8, 12). (iv) (c) : We have, x + y = 20 ... (i) and 3x + 2y = 48.. (ii) On solving (i) and (ii), we get X = 8, y = 12. Thus, the coordinates of P are (8,12) and hence (8, 12) is one of its corner points. (v) (b): The optimal solution occurs at every point on the line joining these two points.

(i) (b): Objective function is a linear function (involve variable) whose maximum or minimum value is to be found. (ii) (c): If optimal solution is obtained at two distinct points A and B (corners of the feasible region), then optimal solution is obtained at every point of segment [AB]. (iii) (b): When x ≥ 6 and y ≥ 2, then 2x + y ≥ 2 x 6 + 2, i.e., 2x + y ≥ 14 Hence, x ≥ 0, Y ≥ 0 and 2x + y ≥ 10 are automatically satisfied by every point of the region. \(\{(x, y): x \geq 6\} \cap\{(x, y): y \geq 2\}\) (iv) (b): Construct the following table of values of the objective function:

Minimum of Z = - 32 at (0, 8) (v) (a): Construct the following table of values of the objective function F

Hence, maximum of F = 0

Related 12th Standard CBSE Maths Materials

12th standard cbse syllabus & materials, cbse 12th physics wave optics chapter case study question with answers, cbse 12th physics ray optics and optical instruments chapter case study question with answers, cbse 12th physics nuclei chapter case study question with answers, cbse 12th physics moving charges and magnetism chapter case study question with answers, cbse 12th physics electromagnetic induction chapter case study question with answers, cbse 12th physics atoms chapter case study question with answers, 12th physics alternating current chapter case study question with answers cbse, 12th chemistry the d and f block elements chapter case study question with answers cbse, 12th chemistry haloalkanes and haloarenes chapter case study question with answers cbse, 12th chemistry coordination compounds chapter case study question with answers cbse, 12th chemistry chemical kinetics chapter case study question with answers cbse, 12th chemistry biomolecules chapter case study question with answers cbse, 12th chemistry amines chapter case study question with answers cbse, 12th aldehydes ketones and carboxylic acids chapter case study question with answers cbse, 12th chemistry alcohols phenols and ethers chapter case study question with answers cbse.

cbse logo

Class VI to XII

Tn state board / cbse, 3000+ q&a's per subject, score high marks.

cbse students

12th Standard CBSE Study Materials

case study class 12 maths

12th Standard CBSE Subjects

case study class 12 maths

Jagran Josh

ISC Class 12 Maths Paper Analysis 2024: Student Feedback, Difficulty Level and Question Paper PDF

i mg src="https://img.jagranjosh.com/images/2024/February/2022024/isc-class-12-maths-paper-analysis-2024.jpg" width="1200" height="675" />

ISC Class 12 Maths  Exam Analysis 2024: The Council for the Indian School Certificate Examinations, CISCE conducted the ISC Maths Exam today from 2:00 pm to 5:00 pm. Mathematics being common to all streams, is a major exam that holds significant importance for CISCE Class 12. Now, when the exam is over, many students are sharing their experiences and insights on the difficulty level, question patterns, and overall paper structure. This article presents a detailed paper analysis including the students’ feedback and experts’ reviews of today’s ISC Class 12 Maths Exam 2024. Additionally, students can also check the ISC 12th Maths Question Paper 2024 PDF along with its answer key. The answers by experts will aid in cross-referencing your answers and evaluating your performance in the ISC Class 12 Maths exam 2024. The link to these useful resources will be shared in a short while.  

ISC Class 12 Maths  Exam 2024 Highlights

Isc class 12 maths  exam paper analysis 2024.

The general observations indicate that the ISC Class 12 Maths paper was of moderate difficulty level. While a portion of students claimed that the paper was more challenging compared to the previous year, others found it manageable and of a medium difficulty level. The ISC Maths paper had a total of 22 questions divided into three sections.

  • Section A was compulsory.
  • Candidates had to choose any one of the sections C and B.

ISC Class 12 Maths  Paper Analysis 2024: Student Reactions

Students had mixed reactions on the difficulty level of the ISC Maths paper. The majority of students rated the paper medium on the difficulty level. They found certain sections of the paper challenging. The general feedback from students is as follows:

Questions on calculus and algebraic concepts were challenging.

  • Out of the last two optional sections, Section C was easier
  • All questions were from the prescribed syllabus.
  • MCQs were diverse and fairly easy.
  • Questions on integrals were intricate.

The length of the paper was considered reasonable by many students, allowing them to attempt all questions within the allocated time. 

ISC Class 12 Maths  Paper Analysis 2024: Expert Review

Experts and educators who have reviewed the paper generally agree with the assessment of its moderate to difficult nature. They emphasized that a few questions in the ‘B’ and ‘C' sections were intricately framed and challenging, demanding a higher level of analytical thinking and problem-solving skills. However, they emphasized that students who exhibited strong concept clarity and had a firm grasp of mathematical fundamentals could easily tackle the questions in sections B and C. On the other hand, the first section of the paper was fairly easy and could get good marks for students.

Also Check|

ISC Class 12 Syllabus for 2024 Exams

ISC Class 12 Specimen Papers for 2024 Exams

ISC Class 12 Date Sheet 2024

IMAGES

  1. Case Study Based Questions Class 12 Maths

    case study class 12 maths

  2. Case Study Class 12 Maths

    case study class 12 maths

  3. Case Study Class 12 Maths

    case study class 12 maths

  4. Case Study Based Questions Preparation Series

    case study class 12 maths

  5. Case Study Questions CBSE Class 12/XII Maths

    case study class 12 maths

  6. In a test, an examinee either guesses or copies

    case study class 12 maths

VIDEO

  1. CASE STUDY QUESTION CLASS 12 MATHS CBSE || PROBABILITY || CASE STUDY CLASS 12 MATHS

  2. LEC 2 ORGANISATION OF COMMERCE OCM OBJECTIVES BLANKS TRUE FALSE CONCEPT CASE STUDY CLASS 12 HSC

  3. CBSE Class 12

  4. CBSE Class 12

  5. 40 SURE SHOT QUESTIONS CLASS 12 MATHS CBSE BOARDS 2022-23

  6. CBSE Class 12

COMMENTS

  1. Class 12 Maths: Case Study Based Questions PDF Download

    Download chapter-wise case study questions for CBSE Class 12 Maths Board Exams with answer keys. Learn the latest syllabus, typologies and updates for Class 12 Maths exams.

  2. CBSE Class 12 Maths Case Study : Questions With Solutions

    In class 12th Maths Case Study the questions are based on the real world scenarios. A passage filled with information or data is provided to the students. On the basis of that paragraph upto 5 questions are developed which should be answered by the students.

  3. CBSE Class 12 Maths Important Case Study Based Questions 2024

    Find important case study based questions of Section E in the CBSE Class 12 Maths exam 2024 for last minute preparation. Practice solved examples of integrals, area, probability, trapezium and more.

  4. PDF Relation and Function CASE STUDY 1

    CASE STUDY 2 Sherlin and Danju are playing Ludo at home during Covid-19. While rolling the dice, Sherlin's sister Raji observed and noted the possible outcomes of the throw every time belongs to set {1,2,3,4,5,6}. Let A be the set of players while B be the set of all possible outcomes. A = {S, D}, B = {1,2,3,4,5,6}

  5. Class 12 Maths Case Study Questions

    Let's have a look over the class 12 Mathematics sample question paper issued by CBSE, New Delhi. Question numbers 17 and 18 are case study questions. Focus on concepts If you go through each MCQ there, you will find that the theme/case study is common but the questions are based on different concepts related to the theme.

  6. Case Study Questions for Class 12 Maths PDF Download

    Find chapter-wise case study questions for Class 12 Maths board exams with solutions and answer key. Practice these questions to prepare for objective type case-based questions in the exam.

  7. CBSE Class 12th

    CBSE will ask two Case Study Questions in the CBSE class 12 Mathematics questions paper. Question numbers 15 and 16 are case-based questions where 5 MCQs will be asked based on a paragraph. Each theme will have five questions and students will have a choice to attempt any four of them.

  8. Case Study Questions CBSE Class 12/XII Maths

    0:00 / 1:35:05 Case Study Questions CBSE Class 12/XII Maths | How to Solve | MATHEMATICALLY INCLINED Neha Agrawal Mathematically Inclined 1.56M subscribers Join Subscribe Subscribed 5K...

  9. Maths Case Study for Class 12 (Download Free PDF)

    Doing a regular practice of Class 12 Maths Case Study questions is a great way to score higher marks in the board exams as it will help students to develop a grip on the concepts. Here our subject experts have crafted the Chapter Wise Case Study For Class 12.

  10. Case Study Based Questions Class XII

    Case Study Based Questions Class XII Mathematics Case study questions on Relations & Functions, Matrices, Determinants, Applications of Derivatives, Applications of Integral, Differential equations, Vector Algebra, three dimensional Geometry and Probability etc. CASE STUDY-1 CHAPTER -1 RELATIONS & FUNCTIONS

  11. Class 12 Maths| Case Study Questions| All Chapters

    Class 12 Maths| Case Study Questions| All Chapters | Tapasya Series | BOARDS 2023-24OSWAL GURUKUL SAMPLE PAPEROswal: Test Links:Class - 12https://bit.ly/oswa... CBSE Exam, class 12

  12. Cbse 12th Maths Case Study Questions

    By QB365 on 20 May, 2021 QB365 Provides the updated CASE Study Questions for Class 12 , and also provide the detail solution for each and every case study questions . Case study questions are latest updated question pattern from NCERT, QB365 will helps to get more marks in Exams

  13. CBSE Case Study Questions for Class 12 Maths Matrices Free PDF

    Mere Bacchon, you must practice the CBSE Case Study Questions Class 12 Maths Matrices in order to fully complete your preparation.They are very very important from exam point of view. These tricky Case Study Based Questions can act as a villain in your heroic exams!. I have made sure the questions (along with the solutions) prepare you fully for the upcoming exams.

  14. Category: Case Study Questions for Class 12 Maths

    Case Study Questions for Class 12 Maths Archives - Gurukul of Excellence. Q-104, Sector-38, Gurgaon, Haryana 07065827902 [email protected] M-F: 8 AM- 8 PM; Weekend: 10 AM-2 PM.

  15. Class 12 CBSE A.O.D ML AGGARWAL Case Study

    Topics covered in Class 12th Applied Maths includes : Numbers, Quantification and Numerical Applications, Algebra, Calculus, Probability Distributions , Inferential Statistics, Index Numbers and Time-based data , Financial Mathematics , Linear Programming. ... Case-study-1 A Political Party placed an order to a screen printer for the printing ...

  16. Case Study Questions for Class 12 Maths Chapter 10 Vector Algebra

    Case Study Questions for Class 12 Maths. Case study questions are a type of question that is commonly used in academic and professional settings to evaluate a person's ability to analyze, interpret, and solve problems based on a given scenario or case study. Typically, a case study question presents a real-world situation or problem that ...

  17. CBSE 12th Standard Maths Vector Algebra Case Study Questions

    QB365 Provides the updated CASE Study Questions for Class 12 Maths, and also provide the detail solution for each and every case study questions . Case study questions are latest updated question pattern from NCERT, QB365 will helps to get more marks in Exams QB365 - Question Bank Software

  18. CBSE Class 12 Paper Analysis 2024, Check Subject-Wise ...

    CBSE Class 12 Political Science Paper Analysis 2023. CBSE Class 12 Political Science theory exam was held for 70 marks on March 20, 2023. There were 30 questions in total. As per the students, the overall paper was easy except few that required critical thinking. The case-study based and map-based questions were direct and easy. MCQs were a ...

  19. ISC Class 12 Maths Paper Analysis 2024: Student Feedback, Difficulty

    ISC Class 12 Maths Exam Analysis 2024: The Council for the Indian School Certificate Examinations, CISCE conducted the ISC Maths Exam today from 2:00 pm to 5:00 pm. Mathematics being common to all ...

  20. CBSE Case Study Class 12 Questions for Maths, Physics, Chemistry

    The maths case study questions of class 12 are usually based on the formula. If any student wants to get a good score in maths case studies then they have to be well versed with a set of formulas as per the chapters and topics. Case Study Class 12 Maths can be downloaded here on this website for free of cost.

  21. ISC Class 12 Math Answer Key 2024, Important Math Questions

    The Class 12 Math Paper 2024 will conclude at 5 p.m. on Tuesday. The ISC Math Question Paper 2024 and ISC Class 12 Math Answer Key 2024 PDF Download Link will be available here, as the paper will be completed on the 20th. Check out some important mathematics questions below, you can take it as an ISC Math 12th Suggestion 2024.

  22. Case Study on Probability Class 12 Maths PDF

    The case study questions on Probability are based on the CBSE Class 12 Maths Syllabus, and therefore, referring to the Probability case study questions enable students to gain the appropriate knowledge and prepare better for the Class 12 Maths board examination.

  23. CBSE 12th Standard Maths Linear Programming Case Study Questions

    QB365 Provides the updated CASE Study Questions for Class 12 Maths, and also provide the detail solution for each and every case study questions . Case study questions are latest updated question pattern from NCERT, QB365 will helps to get more marks in Exams +91 86828 95000.

  24. ISC Class 12 Exam Analysis 2024: ISC Maths Paper Rated Moderate, See

    ISC Class 12 Maths Exam was held today. Students can check the ISC Maths exam analysis and question paper review here. The paper is usually balanced with questions being simple and tricky. This year, the paper is rated moderate. Check the complete analysis below. , Education News, Times Now

  25. ISC Class 12 Maths Paper Analysis 2024: Student Feedback ...

    ISC Class 12 Maths Exam Analysis 2024: The Council for the Indian School Certificate Examinations, CISCE conducted the ISC Maths Exam today from 2:00 pm to 5:00 pm. Mathematics being common to all ...