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Class 11 | CBSE | MATHEMATICS
SETS | CASE BASED QUESTIONS (NEP PATTERN)

MATHEMATICS CLASS 11 :


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📘 CASE BASED WORKSHEET – OPERATIONS ON SETS

Class 11 | CBSE Mathematics | Chapter 1: Sets

🧠 Neurological Insight: Case-based questions activate the prefrontal cortex (decision making) and the hippocampus (memory formation). When students apply set operations to real situations, the brain creates associative memory maps, improving recall during exams.

CASE–1: Student Club Participation

In a school, a survey was conducted among students regarding participation in clubs. Let A = set of students who joined the Science Club
B = set of students who joined the Math Club

A = {1, 2, 3, 5, 7}
B = {3, 4, 5, 6}

Answer the following:

  1. Find A ∪ B
  2. Find A ∩ B
  3. Find A − B
(i) A ∪ B = {1, 2, 3, 4, 5, 6, 7}
(ii) A ∩ B = {3, 5}
(iii) A − B = {1, 2, 7}
🧠 Why this sticks: The brain remembers overlaps faster than lists. Intersection acts as a visual overlap trigger, reducing cognitive load.

CASE–2: Online Course Enrollment

An online platform records students enrolled in different courses. Let P = students enrolled in Physics
C = students enrolled in Chemistry

P = {a, b, c, d, e}
C = {c, e, f, g}

  1. Students enrolled in at least one course
  2. Students enrolled in both courses
  3. Students enrolled only in Physics
(i) P ∪ C = {a, b, c, d, e, f, g}
(ii) P ∩ C = {c, e}
(iii) P − C = {a, b, d}
🧠 Neurological Angle: “Only Physics” forces the brain to perform inhibitory filtering, strengthening selective attention—crucial for competitive exams.

CASE–3: Sports Selection Data

A school maintains data of students selected for sports. Let F = students selected for Football
B = students selected for Basketball

F = {10, 20, 30, 40}
B = {30, 40, 50}

  1. Find F ∪ B
  2. Find F ∩ B
  3. Find B − F
(i) F ∪ B = {10, 20, 30, 40, 50}
(ii) F ∩ B = {30, 40}
(iii) B − F = {50}
🧠 Exam Memory Tip: Difference of sets is processed as “mental subtraction”. This activates numerical reasoning pathways even in non-numeric sets.
🔑 Neuro-Anchor (1-Line Recall Rule):
Union = Combine | Intersection = Common | Difference = Leftover

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