Sets and their representation - One Line Questions
1.
The set of all points on a circle with center (0,0) and radius 1 is: —
{ (x, y) | x^2 + y^2 = 1 }
2.
The representation {x ∈ R | x^2 - 1 = 0} describes the set: —
{-1, 1}
3.
The set of all integers between -3 and 3 (exclusive) is: —
{-2, -1, 0, 1, 2}
4.
The set of all integers x such that -5 < x <= 5 is: —
{-4, -3, -2, -1, 0, 1, 2, 3, 4, 5}
5.
The set of all digits in the decimal system is: —
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
6.
Which of the following is an empty set? —
{}
7.
What is the set of whole numbers? —
{0, 1, 2, 3, ...}
8.
The set of all possible outcomes when a fair die is rolled once is: —
{1, 2, 3, 4, 5, 6}
9.
The set {x | x is a positive integer and x < 1} is: —
{}
10.
Consider the set of solutions to the equation x^2 - 5x + 6 = 0. This set is: —
{2, 3}
11.
The set {x | x is a prime number and x is even} is: —
{2}
12.
The set of all composite numbers less than 10 is: —
{4, 6, 8, 9}
13.
If a set is represented as {x | x is an even integer and 2 < x < 10}, what are its elements? —
{4, 6, 8}
14.
Which of the following correctly represents the set of all multiples of 5? —
{x | x = 5n, n ∈ Z}
15.
Which of the following is a singleton set? —
{5}
16.
The set of all vowels in the English alphabet can be represented as: —
{a, e, i, o, u}
17.
The set {x | x is a letter in the word 'BANANA'} is: —
{B, A, N}
18.
The set of all possible outcomes of tossing a coin twice is: —
{HH, HT, TH, TT}
19.
The set of all odd integers is: —
{x | x = 2n + 1, n ∈ Z}
20.
Which of the following represents the set of all integers that are not multiples of 3? —
All of the above
21.
The set {10, 20, 30, 40, ...} can be represented as: —
All of the above
22.
Consider the set B = {3, 6, 9, 12}. Which set-builder notation is appropriate? —
{x | x is a multiple of 3 and x <= 12}
23.
Consider the set A = {1, 2, 3, 4, 5}. Which of the following is a correct representation of this set using set-builder notation? —
{x | x is a natural number less than 6}
24.
The set {1, 4, 9, 16, 25} can be represented as: —
{x | x = n^2, where n is an integer from 1 to 5}
25.
The set {2, 4, 6, 8} can be represented in set-builder notation as: —
{x | x is a positive even integer less than 10}
26.
Which of the following is the correct set-builder notation for the set {..., -4, -2, 0, 2, 4, ...}? —
{x | x = 2n, n ∈ Z}
27.
Which representation correctly describes the set of odd numbers between 10 and 20? —
{11, 13, 15, 17, 19}
28.
Which set-builder notation describes the set {-2, 2}? —
All of the above
29.
The set of all prime numbers is: —
Infinite
30.
The set {x | x is a day of the week} is: —
Finite
31.
Which of the following is the correct way to represent a set? —
Using curly braces and commas to list elements {a, b, c}
32.
Set-builder notation is used to represent a set by: —
Providing a rule or property that defines the elements.
33.
The set of all integers that are multiples of both 2 and 3 is equivalent to the set of: —
Multiples of 6
34.
Which notation represents the set of all integers? —
Z
35.
Which notation is used for the set of natural numbers including zero? —
W
36.
Which of the following is NOT a standard notation for a set of numbers? —
P (Prime numbers)
37.
The set of all real numbers is denoted by: —
R
38.
The set of all positive rational numbers is denoted by: —
Q+
39.
The set of all rational numbers is denoted by: —
Q
40.
Which symbol represents the set of all complex numbers? —
C
41.
What does the symbol '|' or ':' mean in set-builder notation {x | x is a prime number}? —
Such that
42.
Which of the following is a finite set? —
The set of all days in a year.
43.
The set {2, 3, 5, 7, 11, 13} is: —
The set of prime numbers less than 15.
44.
What does the notation {x ∈ N | x > 5} represent? —
The set of natural numbers greater than 5.
45.
The set {0, 1, 2, 3, ..., 10} represents: —
The set of integers from 0 to 10.
46.
The set {1, 3, 5, 7, 9} can be described as: —
The set of the first five odd numbers.
47.
The set {January, February, March, ..., December} represents: —
The set of months in a year.
48.
Which of the following is an infinite set? —
The set of all integers.
49.
The set of natural numbers is typically represented by: —
N
50.
Which notation represents the set of all non-negative integers? —
W