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

Question 1

1. Which of the following collections is a well-defined set?

A) The collection of the five most talented mathematicians in India.

B) The collection of all vowels in the English alphabet.

C) The collection of difficult topics in Mathematics.

D) The collection of best cricket players in the world.

Answer

Correct Answer: B

Question 2

2. Write the following set in Roster form: $A = \{x : x \text{ is an even natural number, } x < 10\}$

A) $\{2, 4, 6, 8\}$

B) $\{2, 4, 6, 8, 10\}$

C) $\{1, 2, 3, 4, 5, 6, 7, 8, 9\}$

D) $\{4, 6, 8\}$

Answer

Correct Answer: A

Question 3

3. What is the set-builder form of $B = \{1, 4, 9, 16, 25\}$?

A) $\{x : x = 2n, n \in \mathbb{N}, n \le 5\}$

B) $\{x : x = n^2, n \in \mathbb{N}, n \le 5\}$

C) $\{x : x = n+3, n \in \mathbb{N}, n \le 5\}$

D) $\{x : x \text{ is a prime number less than 26}\}$

Answer

Correct Answer: B

Question 4

4. Which of the following is an example of the empty set (null set)?

A) $\{0\}$

B) $\{x : x \text{ is an even prime number}\}$

C) $\{x : x^2 = 4 \text{ and } x \text{ is odd}\}$

Question 5

5. Identify the infinite set among the following:

A) The set of months of a year.

B) The set of prime numbers less than 99.

C) The set of solutions to $x^2 - 16 = 0$.

D) The set of points on a straight line.

Answer

Correct Answer: D

Question 6

6. If $A = \{2, 3, 5\}$ and $B = \{1, 2, 3, 4, 5, 6\}$, which of the following relations is correct?

A) $A \subset B$

B) $B \subset A$

C) $A = B$

D) $A \cap B = \emptyset$

Answer

Correct Answer: A

Question 7

7. If a set $S$ has 4 elements, how many elements are in its Power Set $P(S)$?

A) $4$

B) $8$

C) $16$

D) $32$

Answer

Correct Answer: C

Question 8

8. Which set-builder notation represents the interval $(-3, 7]$?

A) $\{x : -3 \le x \le 7, x \in \mathbb{R}\}$

B) $\{x : -3 < x \le 7, x \in \mathbb{R}\}$

C) $\{x : -3 \le x < 7, x \in \mathbb{R}\}$

D) $\{x : -3 < x < 7, x \in \mathbb{R}\}$

Answer

Correct Answer: B

Question 9

9. If $X = \{m, n, o\}$ and $Y = \{o, p, q\}$, find the union $X \cup Y$.

A) $\{o\}$

B) $\{m, n, p, q\}$

C) $\{m, n, o, o, p, q\}$

D) $\{m, n, o, p, q\}$

Answer

Correct Answer: D

Question 10

10. Let $P = \{x : x \text{ is a factor of } 12\}$ and $Q = \{x : x \text{ is a factor of } 18\}$. Find $P \cap Q$.

A) $\{1, 2, 3, 6\}$

B) $\{1, 2, 3, 4, 6, 9, 12, 18\}$

C) $\{2, 3, 6\}$

D) $\{6, 12, 18\}$

Answer

Correct Answer: A

Accepted Answer

Correct Answer: C

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