1.
A = { 1,5,3,7,9} and B = {2,3,4,5,6} then A n B = ___
Correct Answer
C. { 3, 5}
Explanation
The intersection of sets A and B is the set of elements that are common to both sets. In this case, the common elements between A and B are 3 and 5. Therefore, the correct answer is { 3, 5}.
2.
A = {1,2,3,4,5,6} and B = {2,4,6} Which of the following represent A U B?
Correct Answer
D. {1,2,3,4,5,6}
Explanation
The union of sets A and B, denoted as A U B, represents the combination of all elements from both sets. In this case, set A contains the numbers 1, 2, 3, 4, 5, and 6, while set B contains the numbers 2, 4, and 6. Therefore, the union of A and B would be the set that includes all the numbers from both sets, which is {1, 2, 3, 4, 5, 6}.
3.
P u B = { 2,2, 4, 6, 8, 18,15,3, 47}
Correct Answer
B. False
Explanation
The given statement is false because the set P u B contains multiple occurrences of the number 2, which violates the definition of a set. In a set, each element should be unique and not repeated. Therefore, the correct answer is false.
4.
The Venn Diagram shows a Disjoint set
Correct Answer
A. True
Explanation
The Venn Diagram shows a disjoint set because there are two separate circles that do not overlap or share any elements. In a disjoint set, the elements in one set are completely separate from the elements in the other set.
5.
Every set must have numbers.
Correct Answer
B. False
Explanation
This statement is incorrect. Every set does not have to have numbers. A set can contain any type of elements, including numbers, letters, or even objects. Therefore, the correct answer is False.
6.
A disjoint set is
Correct Answer
A. Two sets that have no members in common
Explanation
A disjoint set refers to two sets that have no members in common. This means that there is no element that is present in both sets. In other words, the intersection of the two sets is an empty set.
7.
The __________ of sets is the set of all the members of both sets without repeating any of the members in the sets.
Correct Answer
A. Union
Explanation
The union of sets is the set that contains all the elements from both sets without any repetition. It combines the elements of both sets into a single set, ensuring that no duplicate elements are included.
8.
The symbol U is used to indicate the intersection of sets.
Correct Answer
B. False
Explanation
The symbol U is not used to indicate the intersection of sets. The correct symbol for the intersection of sets is ∩. The symbol U is used to indicate the union of sets. Therefore, the given statement is false.
9.
The intersection of two sets is the set of all members that are common to both sets.
Correct Answer
A. True
Explanation
The statement is true because the intersection of two sets is defined as the set that contains all the elements that are present in both sets. In other words, it is the set of common elements between the two sets. If there are no common elements, then the intersection would be an empty set.
10.
A = {1,2,3} and B = {4,5,6} then A n B = ______?
Correct Answer
A. {}
Explanation
The symbol "n" represents the intersection of two sets, which means finding the common elements between them. In this case, set A and set B have no common elements, as they are completely distinct sets. Therefore, the intersection of A and B is an empty set, represented by {}. The answer "None of these" is incorrect because the correct answer is an empty set, not one of the other options provided.