1: What is a set?
Correct Answer: C) A well-defined collection of distinct objects.
2: What is each object in a set called?
Correct Answer: B) Member or element
3: How are sets typically represented?
Correct Answer: C) { }
4: Which of the following is NOT a correct method of representing a set?
Correct Answer: D) Enumeration method
5: If xxx is an element of set XXX, how is it denoted?
Correct Answer: D) X∉xX \notin xX∈/x
6: If xxx is not an element of set XXX, how is it denoted?
Correct Answer: B) x∉Xx \notin Xx∈/X
7: Which of the following is an example of a set?
Correct Answer: A) The set of all days in a week
8: Which of the following methods lists all elements of a set separated by commas?
Correct Answer: A) Tabular method
9: Which method defines a set by a property that its members must satisfy?
Correct Answer: C) Set builder method
10: In the set X={Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}X = \{ \text{{Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}} \}X={Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}, which day is a member of the set XXX?
Correct Answer: C) Someday
11: What is another name for the Roster Form?
Correct Answer: C) Tabular Method
12: 2. In the Roster Form, how are the elements of a set represented?
Correct Answer: B) By listing the elements within curly braces {} and separating them by commas
13: Given the set X = {x : x is an even number and x < 15}, which of the following is the correct representation of X in Roster Form?
Correct Answer: B) {2, 4, 6, 8, 10, 12, 14}
14: Which of the following statements is true about the Roster Form?
Correct Answer: C) Elements are listed and enclosed within braces {}.
15: What is the correct Roster Form for the set of all even numbers less than 10?
Correct Answer: A) {2, 4, 6, 8}
16: What is another name for the Set Builder Form?
Correct Answer: C) Rule Method
17: In Set Builder Form, how is a set typically represented?
Correct Answer: B) By listing the property or properties satisfied by the elements
18: What does the symbol ‘:’ stand for in the Set Builder Form?
Correct Answer: B) Such that
19: Which of the following correctly represents the set of all even numbers less than 15 in Set Builder Form?
Correct Answer: B) {x : x = 2n, n ∈ N and 1 ≤ n ≤ 7}
20: How would you read the set X = {x : P(x)}?
Correct Answer: B) "X is the set of all elements x such that x has the property P(x)."
21: Which of the following is a correct representation of the set X in Set Builder Form if X is the set of all even numbers less than 15?
Correct Answer: C) X = {x : x is an even number less than 15}
22: What is another name for an Empty Set?
Correct Answer: C) Null Set
23: Which of the following sets is an example of a Singleton Set?
Correct Answer: C) X = {a}
24: What distinguishes a Finite Set from an Infinite Set?
Correct Answer: A) A Finite Set has a limited number of elements, while an Infinite Set has an unlimited number of elements.
25: If two sets X and Y have the same number of elements, they are called:
Correct Answer: C) Equivalent Sets
26: Which of the following represents an Equal Set?
Correct Answer: C) X = {2, 4, 6} and Y = {4, 2, 6}
27: The set that is a superset of all other sets under consideration is called:
Correct Answer: B) Universal Set
28: How many subsets does a set X with 3 elements have in its Power Set?
Correct Answer: D) 8 (Since the total number of subsets is 23=82^3 = 823=8)
29: If X ⊆ Y, which of the following statements is true?
Correct Answer: C) X is a subset of Y.
30: What is the symbol used to denote a Proper Subset?
Correct Answer: A) ⊂
31: If X = {a, b} and Y = {a, b, c, d}, which of the following is correct?
Correct Answer: B) X ⊆ Y
32:
Correct Answer: C)