Test: Sets - Class 8 MCQ

The difference A - B includes all letters in the alphabet that are not vowels. Therefore, A - B consists of all consonants.

The difference A - B includes elements that are in A but not in B. Thus, A - B = {1, 3}.

Disjoint sets are defined as sets that do not share any elements. Thus, if A and B are disjoint, A ∩ B = Ø.

A is a proper subset of B because all elements of A (1 and 2) are in B, and B has additional elements (3). A proper subset cannot be identical to the set it is a subset of.

First, calculate B ∪ C = {2, 3, 4}. Then A ∩ (B ∪ C) = {1, 2} ∩ {2, 3, 4} = {2}.

The difference A - B consists of elements in A that are not in B. Thus, A - B = {1, 2}.

The intersection A ∩ B includes elements common to both A and B, which are 4 and 6. Thus, A ∩ B = {4, 6}.

The set of prime numbers greater than 10 is infinite since there is no upper limit to prime numbers. Thus, it is classified as an infinite set.

The complement of A, denoted A', consists of elements in U that are not in A. Therefore, A' = {4, 5, 6}.

The complement of A, denoted A', is the set of all elements in U that are not in A. Therefore, A' = {3, 4, 5}.

The set {x : x is a natural number less than 1} has no elements, thus it is an empty set, often denoted by Ø.

The Distributive Laws describe how union and intersection operations distribute over each other. For example, A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C).

A singleton set contains exactly one element. The set {5} qualifies as a singleton because it has only one element.

The union of two sets A and B is denoted as A ∪ B, which includes all elements that are in A, in B, or in both.

The complement of A, denoted A', includes all elements in the universal set U that are not in A. Therefore, A' = {2, 4, 6}.