Interactive Grade 11 Maths Quiz: Sets | Concept of Maths

Question 1

1. If a set $A$ has 4 elements, how many non-empty proper subsets does $A$ have?

Accepted Answer

C) 14

Answer

A) 16

Answer

B) 15

Answer

D) 13

Question 2

2. Given $A = \{x : x^2 - 5x + 6 = 0\}$ and $B = \{2, 4\}$. Find $A \Delta B$ (Symmetric Difference).

Accepted Answer

A) $\{3, 4\}$

Answer

B) $\{2, 3, 4\}$

Answer

C) $\{2\}$

Answer

D) $\{ \}$

Question 3

3. In a class of 50 students, 30 like Cricket, 25 like Football, and 10 like both. How many like neither?

Accepted Answer

A) 5

Answer

B) 10

Answer

C) 15

Answer

D) 0

Question 4

4. Let $A = \{1, 2, \{3, 4\}, 5\}$. Which of the following statements is FALSE?

Accepted Answer

B) $\{3, 4\} \subset A$

Answer

A) $\{3, 4\} \in A$

Answer

C) $\{\{3, 4\}\} \subset A$

Answer

D) $\{1, 2\} \subset A$

Question 5

5. If $n(A) = p$ and $n(B) = q$, what is the maximum number of elements in $A \cup B$?

Accepted Answer

A) $p + q$

Answer

B) $\max(p, q)$

Answer

C) $p 	imes q$

Answer

D) $p^q$

Question 6

6. Which of the following is an empty set?

Accepted Answer

B) $\{x : x \in \mathbb{R}, x^2 + 1 = 0\}$

Answer

A) $\{x : x \in \mathbb{R}, x^2 - 1 = 0\}$

Answer

C) $\{0\}$

Answer

D) $\{\emptyset\}$

Question 7

7. If $U = \{1, 2, 3, ..., 10\}$, $A = \{1, 3, 5, 7, 9\}$, and $B = \{2, 4, 6, 8, 10\}$, then $(A \cup B)'$ is:

Accepted Answer

B) $\emptyset$

Answer

A) $U$

Answer

C) $\{1, 2, ..., 10\}$

Answer

D) $\{5, 6\}$

Question 8

8. The number of elements in the power set of a power set of an empty set, $P(P(\emptyset))$, is:

Accepted Answer

C) 2

Answer

A) 0

Answer

B) 1

Answer

D) 4

Question 9

9. If $A \subset B$, then $A - B$ is equal to:

Accepted Answer

C) $\emptyset$

Answer

A) $A$

Answer

B) $B$

Answer

D) $B - A$

Question 10

10. In a survey, 70% of people like Tea, 80% like Coffee. What is the minimum percentage of people who like both?

Accepted Answer

A) 50%

Answer

B) 70%

Answer

C) 30%

Answer

D) 10%

Question 11

11. If $A$ and $B$ are two sets such that $n(A-B) = 24$, $n(B-A) = 19$ and $n(A \cap B) = 11$, find $n(A \cup B)$.

Accepted Answer

B) 54

Answer

A) 43

Answer

C) 35

Answer

D) 65

Question 12

12. For any two sets $A$ and $B$, $A \cap (A \cup B)'$ is:

Accepted Answer

C) $\emptyset$

Answer

A) $A$

Answer

B) $B$

Answer

D) $A \cap B$

Question 13

13. Let $A = \{x : x \in \mathbb{N}, x ext{ is a multiple of 3}\}$ and $B = \{x : x \in \mathbb{N}, x ext{ is a multiple of 5}\}$. Then $A \cap B$ is:

Accepted Answer

B) Multiples of 15

Answer

A) Multiples of 8

Answer

C) Multiples of 2

Answer

D) Empty Set

Question 14

14. If $A = \{1, 3, 5\}$ and $B = \{2, 4\}$, then $n(P(A imes B))$ is:

Accepted Answer

B) 64

Answer

A) 32

Answer

C) 8

Answer

D) 128

Question 15

15. Which of the following sets is infinite?

Accepted Answer

B) $\{x \in \mathbb{N} : x 	ext{ is prime}\}$

Answer

A) $\{x \in \mathbb{Z} : -100 < x < 100\}$

Answer

C) The set of months in a year

Answer

D) $\{x \in \mathbb{R} : x^2 - 4 = 0\}$

Question 16

16. If A, B, C are three sets, then $A \cap (B - C)$ is equal to:

Accepted Answer

D) Both A and B

Answer

A) $(A \cap B) - (A \cap C)$

Answer

B) $(A \cap B) - C$

Answer

C) $A \cap B \cup C$

Question 17

17. Two finite sets have $m$ and $n$ elements. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. The values of $m$ and $n$ are:

Accepted Answer

B) 6, 3

Answer

A) 7, 6

Answer

C) 5, 1

Answer

D) 8, 7

Question 18

18. What is the interval representation of $\{x : x \in \mathbb{R}, -2 < x \le 5\}$?

Accepted Answer

C) $(-2, 5]$

Answer

A) $[-2, 5]$

Answer

B) $(-2, 5)$

Answer

D) $[-2, 5)$

Question 19

19. If $n(A) = 10$, $n(B) = 15$, then the minimum number of elements in $A \cup B$ is:

Accepted Answer

B) 15

Answer

A) 10

Answer

C) 25

Answer

D) 5

Question 20

20. According to De Morgan's Law, $(A \cap B)'$ is equivalent to:

Accepted Answer

B) $A' \cup B'$

Answer

A) $A' \cap B'$

Answer

C) $A \cup B$

Answer

D) $(A \cup B)'$

Set 1Mastering Set Theory: The Logic of Collections

Mastering Set Theory: The Logic of Collections

Examination Instructions:

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Set 1Mastering Set Theory: The Logic of Collections

Mastering Set Theory: The Logic of Collections

Examination Instructions:

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Set 1Mastering Set Theory: The Logic of Collections

Mastering Set Theory: The Logic of Collections

Examination Instructions:

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Set 1Mastering Set Theory: The Logic of Collections

Mastering Set Theory: The Logic of Collections

Examination Instructions:

Share This Quiz

Discussion 0

Rating & Discussion Locked

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