In Class 12 Boards there will be Case studies and Passage Based Questions will be asked, So practice these types of questions. Study Rate is always there to help you. Free PDF Download of CBSE Class 12 Mathematics Chapter 1 Relations and Functions Case Study and Passage Based Questions with Answers were Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 12 Maths Relations and Functions to know their preparation level.

In CBSE Class 12 Maths Paper, There will be a few questions based on case studies and passage-based as well. In that, a paragraph will be given, and then the MCQ questions based on it will be asked.

Relations and Functions Case Study Questions With answers

Here, we have provided case-based/passage-based questions for Class 12 Mathematics Chapter 1 Relations and Functions

Case Study/Passage-Based Questions

Case Study 1:

A general election of the 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 the general election held in 2019. A relation ‘R’ is defined on I as follows:
R = {(𝑉1, 𝑉2) ∶ 𝑉1, 𝑉2 ∈ 𝐼 and both use their voting right in the general election – 2019}

1. 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
3. Three friends F1, F2, and F3 exercised their voting right in the 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

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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 belonging 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}

(i) 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 but not transitive
(c) Not reflexive but symmetric and transitive
(d) Equivalence

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(ii) Raji wants to know the number of functions from A to B. How many number of functions are possible?
(a) 6²
(b) 2⁶
(c) 6!
(d) 2¹²

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(iii) 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

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(iv) Raji wants to know the number of relations possible from A to B. How many numbers of relations are possible?
(a) 6²
(b) 2⁶
(c) 6!
(d) 2¹²

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(v) 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
(a) Symmetric
(b) Reflexive and Transitive
(c) Transitive and symmetric
(d) Equivalence

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