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Class 11 | CBSE | MATHEMATICS
SETS | MCQ-3

MATHEMATICS CLASS 11 :


MCQ Worksheet – Sets (Class 11 | CBSE)

Chapters Covered: 1.6 Subsets · 1.6.1 Subsets of ℝ · 1.6.2 Intervals · 1.7 Universal Set

1. If A = {1, 2} and B = {1, 2, 3, 4}, then which of the following is true?

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

Correct Answer: (a) A ⊂ B

2. Which of the following sets is NOT a subset of real numbers ℝ?

(a) Set of integers
(b) Set of rational numbers
(c) Set of prime numbers
(d) Set of imaginary numbers

Correct Answer: (d) Set of imaginary numbers

3. Which interval represents all real numbers x such that 2 < x ≤ 5 ?

(a) [2, 5]
(b) (2, 5)
(c) (2, 5]
(d) [2, 5)

Correct Answer: (c) (2, 5]

4. Which of the following is a closed interval?

(a) (1, 4)
(b) (1, 4]
(c) [1, 4)
(d) [1, 4]

Correct Answer: (d) [1, 4]

5. If U = {1, 2, 3, 4, 5} and A = {2, 4}, then A is

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

Correct Answer: (b) Subset of U

6. Which of the following statements is true?

(a) Every set has only one subset
(b) Every set is a subset of itself
(c) A set cannot be a subset of another set
(d) Universal set is always empty

Correct Answer: (b) Every set is a subset of itself

7. Which of the following best describes the Universal Set?

(a) Set with no elements
(b) Set of all irrational numbers
(c) Set containing all elements under discussion
(d) Set of natural numbers only

Correct Answer: (c) Set containing all elements under discussion

🧠 Neurological Exam Hack

• Subset → “Nothing goes out”
• ℝ → “Biggest number umbrella”
• ( ) → Brain reads as open / exclude
• [ ] → Brain reads as closed / include
• Universal Set → Outer boundary box

🧠 MCQs are solved faster when concepts are stored as visual + rule-based chunks, reducing cognitive load during exams.

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