Sets

If $X = \{x : x \in N, x^2 = 9\}$, the roster form is:

What is the roster form for the set of digits in the year 2000?

Which of the following is a well-defined set of natural numbers?

The set-builder form $\{x : x \text{ is a day of the week ending in 'y'}\}$ contains how many elements?

The roster form of the set of perfect cubes between 100 and 300 is:

Which of the following is the roster form for $\{x : x \in N, 2x + 1 = 11\}$?

The set of odd natural numbers between 40 and 50 in roster form is:

Find the roster form of the set of multiples of 7 between 10 and 40.

Which of the following describes the set $X = \{ \text{Triangle} \}$ in set-builder form?

Express the set of vowels in the word 'CYRIL' in roster form.

The set of all schools in a city is a:

The set of all even numbers that are also prime is a:

Identify the set $R = \{2, 3, 5, 7, 11, \dots\}$:

The set of all negative natural numbers is:

If $Y = \{x : x \in \mathbb{N} \text{ and } 2x + 1 = 7\}$, then $Y$ is a ________.

The set $W = \{x : x \in \mathbb{W} \text{ and } x + 1 = 0\}$ is a/an ________.

The set of distinct letters in the word 'MISSISSIPPI' is a/an ________.

Let $A$ be the set of all prime numbers between 10 and 100 that consist of the same digit repeated twice. What type of set is $A$?

Consider the set $V = \{x : x \text{ is a point of intersection of two distinct concentric circles in a plane}\}$. Identify the type of set $V$.

Consider the set $N_1 = \{x : x \in \mathbb{Z}, -1 < x < 0\}$. This set is:

What is the cardinal number of the set $\{1, 3, 5, 7, 9, 11, 13\}$?

Find the cardinal number of the set of prime numbers less than 5.

What is $n(A)$ if $A$ is the set of even digits in the number $2468$?

How many elements are in the set of the four main cardinal directions?

If $n(A) = 100$ and $n(B) = 80$, what is the minimum value $n(A \cup B)$ can take?

If $S = \{x : x \text{ is a side of a pentagon}\}$, find $n(S)$.

If $n(A - B) = 8$ and $n(A \cap B) = 3$, find $n(A)$.

In a group of 80 people, 50 speak English, 40 speak Hindi, and 10 speak neither. Find the number of people who speak both languages.

If $n(A) = 2n(B)$, $n(A \cap B) = 5$, and $n(A \cup B) = 40$, find $n(A-B)$.

Given $n(U) = 60$, $n(A) = 30$, $n(B) = 25$. If $n(A \cup B) = 45$, find $n(A \cap B')$.

If $n(A \cap B) = 0$, then $n(A \cup B)$ is equal to:

Let $X$ be the set of vowels in 'HELLO' and $Y$ be the set of vowels in 'WORLD'. Find $X \cup Y$.

If $A = \{\text{even numbers}\}$ and $B = \{2, 4, 6\}$, find $A \cap B$.

If $A = \{x, y\}$ and $B = \{y, z\}$, find $A \cup B$.

Let $E = \{x : x \text{ is an even natural number } < 12\}$ and $F = \{x : x \text{ is a multiple of 3 } < 12\}$. Find $n(E \cup F)$.

If $U = \{1, 2, 3, 4, 5, 6\}$, $A = \{1, 2, 3\}$, and $B = \{2, 3, 4\}$, which of the following is $(A \cup B)$?

Given $A = \{x : x \text{ is a digit in the number 112233}\}$ and $B = \{x : x \text{ is a digit in the number 334455}\}$, find $A \cap B$.

Let $U = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}$. Let $A = \{x : x \text{ is even}\}$ and $B = \{x : x > 5\}$. Find $n(A' \cap B')$.

If $A = \{x : x \text{ is a letter in 'FOLLOW'}\}$ and $B = \{x : x \text{ is a letter in 'FLOW'}\}$, then $A \cup B$ is:

In a group of 100 students, 70 passed in English and 60 passed in Hindi. If everyone passed in at least one subject, how many passed in both?