Class 11 | CBSE | MATHEMATICS
SETS | NEP PATTERN CASE BASED QUESTION

CASE-BASED WORKSHEET (NEP Pattern)

Chapter: Sets (Class 11 – CBSE Mathematics)
Focus Areas: Subsets · Subsets of ℝ · Intervals as subsets of ℝ · Universal Set

Case Study 1:
In a classroom, the teacher defines a universal set U as the set of all real numbers. She defines the following sets:

A = {x : x is a natural number}
B = {x : x is an even natural number}
C = (2, 7]

Answer the following questions based on the above information:

(i) Which of the following is true?

(a) A ⊂ B
(b) B ⊂ A
(c) A = B
(d) B ⊄ A

(ii) The set C is a subset of

(a) Natural numbers
(b) Integers
(c) Real numbers
(d) Rational numbers only

Case Study 2:
A student represents marks obtained in a test using intervals. The passing marks lie between 40 and 60, including 60 but excluding 40.

(iii) Which interval correctly represents the passing marks?

(a) [40, 60]
(b) (40, 60)
(c) (40, 60]
(d) [40, 60)

(iv) The interval representing passing marks is a subset of

(a) Integers
(b) Rational numbers only
(c) Real numbers
(d) Natural numbers only

Case Study 3:
Let the universal set U be the set of all integers between 1 and 10. A set D = {2, 4, 6, 8} is defined from U.

(v) Which of the following best describes set D?

(a) Universal set
(b) Empty set
(c) Subset of U
(d) Equal to U

(vi) Which statement is always true?

(a) D ⊄ U
(b) U ⊂ D
(c) D ⊆ U
(d) D = U