Grade 11 : Mathematics - Sets (Set 1) | Concept of Maths

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Grade 11 : Mathematics - Sets (Set 1) | Concept of Maths

📚 View Syllabus & Question Overview (10 Questions with Explanations)

Grade 11 : Mathematics - Sets (Set 1)

Interactive medium-level quiz for Grade 11 Mathematics on Set Theory. 10 questions covering operations, power sets, and cardinality. Perfect for Concept of Maths students.

1. If a set A has 3 elements, how many elements are there in the power set of the power set of A, denoted by n(P(P(A)))?

A) 64B) 128C) 256D) 512

✓ Correct Answer: Option C

2. For any two sets A and B, the set $(A \cup B)' \cup (A' \cap B)$ is equal to:

A) AB) A'C) B'D) \phi

✓ Correct Answer: Option B

Grade 11 : Mathematics - Sets (Set 1) | Concept of Maths

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If a set A has 3 elements, how many elements are there in the power set of the power set of A, denoted by n(P(P(A)))?

64

128

256

512

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9Not Visited

1Not Answered

✓Marked & Answered (0)

SECTION : Mathematics

3. In a class of 50 students, 35 like Mathematics and 25 like Statistics. If each student likes at least one of the two subjects, how many students like both Mathematics and Statistics?

A) 10B) 15C) 20D) 5

✓ Correct Answer: Option A

4. Let $A = \{x : x^2 - 5x + 6 = 0\}$ and $B = \{x : x^2 - 3x + 2 = 0\}$. What is the symmetric difference A \Delta B?

A) \{1, 2, 3\}B) \{2\}C) \{1, 2\}D) \{1, 3\}

✓ Correct Answer: Option D

5. If A and B are two sets such that n(A) = 15, n(B) = 20, and $n(A \cap B) = 5$, find the value of n(A \Delta B).

A) 30B) 35C) 25D) 20

✓ Correct Answer: Option C

6. Which of the following is an empty set?

A) $\{x : x \in \mathbb{R}, x^2 - 1 = 0\}$B) $\{x : x \in \mathbb{R}, x^2 + 1 = 0\}$C) $\{x : x \in \mathbb{R}, x^2 - 9 = 0\}$D) \{0\}

✓ Correct Answer: Option B

7. Let U = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}, A = \{1, 2, 5\} and B = \{6, 7\}. Then $A \cap B'$ is:

A) B'B) \{1, 2, 5, 6, 7\}C) \phiD) \{1, 2, 5\}

✓ Correct Answer: Option D

8. If $A \subset B$, then which of the following statements is always TRUE?

A) $A \cup B = B$B) $A \cap B = B$C) A - B = AD) $B \subset A$

✓ Correct Answer: Option A

9. The set A = \{x : x is a positive prime number less than 10\} in roster form is:

A) \{1, 2, 3, 5, 7\}B) \{2, 3, 5, 7\}C) \{3, 5, 7, 9\}D) \{2, 4, 6, 8\}

✓ Correct Answer: Option B

10. If A and B are finite sets such that n(A-B) = 18, n(B-A) = 25 and $n(A \cap B) = 12$, find $n(A \cup B)$.

A) 43B) 30C) 55D) 67

✓ Correct Answer: Option C