Grade 11 : Mathematics - Sets (Set 4) | Concept of Maths

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Grade 11 : Mathematics - Sets (Set 4)

A comprehensive Grade 11 Mathematics quiz covering Sets, Subsets, and Set Operations. Total 7 questions.

1. Two sets A and B have m and n elements respectively. If the total number of subsets of A is 48 more than the total number of subsets of B, then the values of m and n are:

A) m = 7, n = 6B) m = 6, n = 3C) m = 6, n = 4D) m = 5, n = 2

✓ Correct Answer: Option C

2. In a survey of 100 students, 40 like Mathematics, 35 like Physics, and 30 like Chemistry. 15 like Math and Physics, 12 like Physics and Chemistry, 10 like Math and Chemistry, and 5 like all three. How many students like none of these subjects?

A) 23B) 27C) 15D) 32

Grade 11 : Mathematics - Sets (Set 4) | Concept of Maths

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Two sets A and B have m and n elements respectively. If the total number of subsets of A is 48 more than the total number of subsets of B, then the values of m and n are:

m = 7, n = 6

m = 6, n = 3

m = 6, n = 4

m = 5, n = 2

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SECTION : Mathematics

✓ Correct Answer: Option B

3. If U = \{1, 2, 3, \dots, 10\}, $A = \{x \in U : x is a prime number\}$, and $B = \{x \in U : x is a factor of 12\}$, find $(A \cap B)'$.

A) \{1, 4, 6, 8, 9, 10\}B) \{2, 3\}C) \{5, 7, 1, 4, 6\}D) \{1, 4, 5, 6, 7, 8, 9, 10\}

✓ Correct Answer: Option D

4. Let $A = \{x \in \mathbb{R} : x^2 - 5x + 6 = 0\}$ and $B = \{x \in \mathbb{R} : x^2 - 7x + 12 = 0\}$. What is the Symmetric Difference A \Delta B?

A) \{2, 4\}B) \{2, 3, 4\}C) \{3\}D) \{2\}

✓ Correct Answer: Option A

5. If the Cartesian product $A \times B$ consists of 6 elements and three of them are (1, 4), (2, 6), (3, 4), then the set B is:

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

✓ Correct Answer: Option C

6. Consider the intervals A = (-3, 5] and B = [2, 8). The intersection $A \cap B$ is represented as:

A) (-3, 8)B) [2, 5]C) (2, 5)D) [2, 5)

✓ Correct Answer: Option B

7. Let $S = \{x \in \mathbb{Z} : \frac{x+2}{x-1} \in \mathbb{Z}\}$. How many elements are in the set S?

A) 2B) 3C) 5D) 4

✓ Correct Answer: Option D

Grade 11 : Mathematics - Sets (Set 4) | Concept of Maths