case study based questions class 12 maths probability term 2

Class 12 Maths: Case Study Based Questions PDF Download

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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.

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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 based questions class 12 maths probability term 2

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.

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:

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.

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Case Study Questions for Class 12 Maths Chapter 13 Probability

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[PDF] Download Case Study Questions for Class 12 Maths Chapter 13 Probability

Here we are providing case study questions for class 12 maths. In this article, we are sharing Class 12 Maths Chapter 13 Probability case study questions. All case study questions of class 12 maths are solved so that students can check their solutions after attempting questions.

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 requires the individual to apply their knowledge and skills to identify the issues, consider various solutions, and recommend a course of action.

Case study questions are designed to test critical thinking skills, problem-solving abilities, and the capacity to work through complex and ambiguous situations.

Preparing for case study questions involves developing a deep understanding of the subject matter, being able to analyze and synthesize information quickly, and being able to communicate ideas clearly and effectively.

Importance of Solving Case Study Questions for Class 12 Maths

Solving case study questions for Class 12 Maths is extremely important as it provides students with an opportunity to apply the mathematical concepts they have learned to real-world scenarios. These questions present a situation or problem that requires students to use their problem-solving skills and critical thinking abilities to arrive at a solution.

The importance of solving case study questions for Class 12 Maths can be summarized as follows:

Enhances problem-solving skills: Case study questions challenge students to think beyond textbook examples and apply their knowledge to real-world situations. This enhances their problem-solving skills and helps them develop a deeper understanding of the mathematical concepts.
Improves critical thinking abilities: Case study questions require students to analyze and evaluate information, and draw conclusions based on their understanding of the situation. This helps them develop their critical thinking abilities, which are essential for success in many areas of life.
Helps in retaining concepts: Solving case study questions helps students retain the concepts they have learned for a longer period of time. This is because they are more likely to remember the concepts when they have applied them to a real-world situation.
Better preparation for exams: Many competitive exams, including the Class 12 Maths board exam, contain case study questions. Solving these questions helps students become familiar with the format of the questions and the skills required to solve them, which can improve their performance in exams.

In conclusion, solving case study questions for Class 12 Maths is important as it helps students develop problem-solving and critical thinking skills, retain concepts better, and prepare for exams.

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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.

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.

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CBSE 12th Standard Maths Subject Probability 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 probability case study questions 2021.

12th Standard CBSE

Final Semester - June 2015

Case Study Questions

(ii) P (B I C) =

(iii) P (A ⋂ B I C) =

(iv) P (A I C) =

(v) P (A ∪ B I C) =

(ii) What is the probability that the first ball is yellow and the second ball is red?

(iii) What is the probability that both the balls are red?

(iv) What is the probability that the first ball is green and the second ball is not yellow?

(v) What is the probability that both the balls are not blue?

(ii) P (A $\cup$ B) =

(iii) P (B | A) =

(iv) P (A | B) =

(v) P ( not A and not B ) =

(ii) When the doctor arrives late, what is the probability that he comes by cab?

(iii) When the doctor arrives late, what is the probability that he comes by bike?

(iv) When the doctor arrives late, what is the probability that he comes by other means of transport?

(v) What is the probability that the doctor is late by any means?

(ii) What is the probability that the average study time of students is not more than 1 hour?

(iii) What is the probability that the average study time of students is at least 3 hours?

(iv) What is the probability that the average study time of students is exactly 2 hours?

(v) What is the probability that the average study time of students is at least 1 hour?

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

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

Here, sample space = {1, 2, 3,4,5, 6}, A ⋂ B = {5}, B ⋂ C = {2, 5}, A ⋂ C = {1, 5}, A ⋂ B ⋂ C = {5} and {A U B} ⋂ C = {1, 2, 5} Also, $P(A)=\frac{2}{6}, P(B)=\frac{3}{6}, P(C)=\frac{3}{6}$ $P(A \cap B)=\frac{1}{6}, P(B \cap C)=\frac{2}{6}, P(A \cap C)=\frac{2}{6} $ $P(A \cap B \cap C)=\frac{1}{6} \text { and } P((A \cup B) \cap C)=\frac{3}{6}$ $(i) \ (\mathbf{b}): P(A \mid B)=\frac{P(A \cap B)}{P(B)}=\frac{1 / 6}{3 / 6}=\frac{1}{3}$ $(ii) \ (a): P(B \mid C)=\frac{P(B \cap C)}{P(C)}=\frac{2 / 6}{3 / 6}=\frac{2}{3}$ $(iii) \ (\mathrm{d}): P(A \cap B \mid C)=\frac{P(A \cap B \cap C)}{P(C)}=\frac{1 / 6}{3 / 6}=\frac{1}{3}$ $(iv) \ (c): P(A \mid C)=\frac{P(A \cap C)}{P(C)}=\frac{2 / 6}{3 / 6}=\frac{2}{3}$ $ (v) \ (\mathbf{d}): P(A \cup B \mid C)=\frac{P((A \cup B) \cap C)}{P(C)}=\frac{3 / 6}{3 / 6}=1$

Let B, R, Y and G denote the events that ball drawn is blue, red, yellow and green respectively. $\therefore P(B)=\frac{12}{35}, P(R)=\frac{8}{35}, P(Y)=\frac{10}{35} \text { and } P(G)=\frac{5}{35}$ $(i) \ (c): P(G \cap B)=P(B) \cdot P(G \mid B)=\frac{12}{35} \cdot \frac{5}{34}=\frac{6}{119}$ $(ii) \ (\mathbf{b}): P(R \cap Y)=P(Y) \cdot P(R \mid Y)=\frac{10}{35} \cdot \frac{8}{34}=\frac{8}{119}$ (iii) (a): Let E = event of drawing a first red ball and F = event of drawing a second red ball Here, $P(E)=\frac{8}{35} \text { and } P(E)=\frac{7}{34}$ $\therefore \P(F \cap E)=P(E) \cdot P(F \mid E)=\frac{8}{35} \cdot \frac{7}{34}=\frac{4}{85}$ $\text {(iv) }(c): P\left(Y^{\prime} \cap G\right)=P(G) \cdot\left(Y^{\prime} \mid G\right)=\frac{5}{35} \cdot \frac{24}{34}=\frac{12}{119}$ (v) (d): Let E = event of drawing a first non-blue ball and F = event of drawing a second non-blue ball Here, $P(E)=\frac{23}{35} \text { and } P(F)=\frac{22}{34}$ $\therefore \ P(F \cap E)=P(E) \cdot P(F \mid E)=\frac{23}{35} \cdot \frac{22}{34}=\frac{253}{595}$

Here, P(A) = 0.6 and P(B) = 0.8 $\text { (i) } \ (c): P(A \cap B)=P(A) \cdot P(B)=(0.6)(0.8)=0.48$ $\text { (ii) }(\text { a) }: P(A \cup B)=P(A)+P(B)-P(A \cap B)$ = 0.6 + 0.8 - 0.48 = 0.92 (iii) (d): P(B I A) = P(B) ( $\because$ A and B are independent) = 0.8 (iv) (a): p (A I B) = p(A) ( $\because$ A and B are independent) = 0.6 (v) (c) : P(not A and not B) = $P\left(A^{\prime} \cap B^{\prime}\right)=P(A \cup B)^{\prime}$ $=1-P(A \cup B)=1-0.92=0.08$

Let E be the event that the doctor visit the patient late and let A 1 , A 2 , A 3 , A 4 be the events that the doctor comes by cab, metro, bike and other means of transport respectively. $P\left(A_{1}\right)=0.3, P\left(A_{2}\right)=0.2, P\left(A_{3}\right)=0.1, P\left(A_{4}\right)=0.4$ P(E I A 1 ) = Probability that the doctor arriving late when he comes by cab = 0.25 Similarly, P ( E I A 2 ) = 0.3, P (E I A 3 ) = 0.35 and P ( E I A 3 ) = 0.1 (i) (b): P(A 2 | E) = Probability that the doctor arriving late and he comes by metro $=\frac{P\left(A_{2}\right) P\left(E \mid A_{2}\right)}{\sum P\left(A_{i}\right) P\left(E \mid A_{i}\right)}$ $=\frac{(0.2)(0.3)}{(0.3)(0.25)+(0.2)(0.3)+(0.1)(0.35)+(0.4)(0.1)}$ $=\frac{0.06}{0.21}=\frac{2}{7}$ (ii) (c): P(A 1 | E) = Probability that the doctor arriving late and he comes by cab $=\frac{P\left(A_{1}\right) P\left(E \mid A_{1}\right)}{\Sigma P\left(A_{i}\right) P\left(E \mid A_{i}\right)}$ $=\frac{(0.3)(0,25)}{(0.3)(0.25)+(0.2)(0.3)+(0.1)(0.35)+(0.4)(0.1)}$ $=\frac{0.075}{0.21}=\frac{5}{14}$ (iii) (d): P(A 3 | E) = Probability that the doctor arriving late and he comes by bike $=\frac{P\left(A_{3}\right) P\left(E \mid A_{3}\right)}{\sum P\left(A_{i}\right) P\left(E \mid A_{i}\right)}$ $=\frac{(0.1)(0.35)}{(0.3)(0.25)+(0.2)(0.3)+(0.1)(0.35)+(0.4)(0.1)}$ $=\frac{0.035}{0.21}=\frac{1}{6}$ (iv) (c): P(A 4 | E) = Probability that the doctor arriving late and he comes by other means of transport $=\frac{P\left(A_{4}\right) P\left(E \mid A_{4}\right)}{\Sigma P\left(A_{i}\right) P\left(E \mid A_{i}\right)}$ $=\frac{(0.4)(0.1)}{(0.3)(0.25)+(0.2)(0.3)+(0.1)(0.35)+(0.4)(0.1)}$ $=\frac{0.04}{0.21}=\frac{4}{21}$ (v) (a): Probability that the doctor is late by any means $=\frac{2}{7}+\frac{5}{14}+\frac{1}{6}+\frac{4}{21}=1$

(i) (a): We know that $\Sigma P_{i}=1$ Then 0.2 + k + 2k + 3k + 2k + 0 = 1 $\Rightarrow$ 8k = 1 - 0.2 = 0.8 $\Rightarrow$ k = 0.1 (ii) (b): P(Average study time is not more than 1 hour) = P(X ≤ 1) = P(X = 0) + P(X = 1) = 0.2 + 0.1 = 0.3 (iii) (a): P(Average study time is at least 3 hours) P(X ≥ 3) = P(X = 3) + P(X = 4) = 0.3 + 0.2 = 0.5 (iv) (d): P(Average study time is exactly 2 hours) = P(X = 2) = 0.2 (v) (c): P(Average study time is at least 1 hour) = 1 - P(X = 0) = 1 - 0.2 = 0.8

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CASE STUDY/PASSAGE BASED QUESTIONS from MTG GUIDE PROBABILITY for Class 12

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

All Exercises from MTG GUIDE Class 12 MATHS PROBABILITY

CASE STUDY/PASSAGE BASED QUESTIONS

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Class 12 Maths Case...

Class 12 Maths Case Study Questions

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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

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

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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

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}

a) (X, Y) ∈ R

b) (Y, X) ∈ R

c) (X, X) ∉ R

d) (X, Y) ∉ R

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

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

a) Symmetric and transitive but not reflexive

b) Universal relation

c) Equivalence relation

d) Reflexive but not symmetric and transitive

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

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

a) Reflexive and transitive but not symmetric

b) Reflexive and symmetric and not transitive

c) Not reflexive but symmetric and transitive

d) Equivalence

a) Symmetric

b) Reflexive

c) Transitive

d) None of these three

b) Reflexive and Transitive

c) Transitive and symmetric

CASE STUDY-3 CHAPTER -1

Students of a school are taken to a railway museum to learn about railways heritage and its history.

An exhibit in the museum depicted many rail lines on the track near the railway station. Let L be the set of all rail lines on the railway track and R be the relation on L defined by

R = { (l 1 , l 2 ) : l 1 is parallel to l 2 }

On the basis of the above information, answer the following questions :

(iii) The set is {I : I is a line of type y = 3x + c, c ∈ R}

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

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.