Class 11 | CBSE | MATHEMATICS
SETS | CASE BASED QUESTIONS
1.3 Empty Set; 1.4 Finite and Infinite Sets; 1.5 equal Sets

CASE-BASED WORKSHEET (NEP Pattern)

Chapter: Sets (Class 11 – CBSE Mathematics)
Focus Areas: Empty Set · Finite & Infinite Sets · Equal Sets

Case Study 1:
A school survey records the number of students who like different sports. The teacher defines a set A as the set of students who like a sport that no one in the class has chosen.

(i) The set A is best described as

(a) Finite set
(b) Infinite set
(c) Empty set
(d) Universal set

(ii) Which symbol correctly represents set A?

(a) {0}
(b) { }
(c) U
(d) ∞

Case Study 2:
A teacher lists all the months of the year in a set B. Another set C contains all even natural numbers.

(iii) Which statement is correct?

(a) Both B and C are finite
(b) B is finite and C is infinite
(c) B is infinite and C is finite
(d) Both B and C are infinite

(iv) Which of the following best explains why set C is infinite?

(a) Elements are too many to count
(b) Elements have no end
(c) Elements repeat
(d) Elements are unknown

Case Study 3:
Two students write the sets D = {1, 3, 5} and E = {5, 3, 1}.

(v) Which of the following is true?

(a) D ≠ E because order is different
(b) D ⊂ E
(c) D = E
(d) D is empty

(vi) The reason D and E are equal is that

(a) They have same number of elements
(b) They have same elements only
(c) Order does not matter in sets
(d) Both (b) and (c)