Sets MCQ Test — Class 6 ICSE

Solution:

A set is a well-defined collection of objects.

The vowels in the English alphabet are clearly defined: a, e, i, o, u. There is no ambiguity.

Terms like 'tall', 'good', and 'beautiful' are subjective and not well-defined.

Solution:

The symbol ∈ is used to show that an element belongs to a set.

For example, if A = {1, 2, 3}, then 2 ∈ A means 2 is an element of A.

Solution:

Set A = {2, 4, 6, 8, 10}.

Looking at the options: 3, 5, and 7 are not in the set.

6 is present in set A, so 6 ∈ A is true.

Solution:

Natural numbers are 1, 2, 3, 4, 5, 6, ...

Natural numbers less than 6 are: 1, 2, 3, 4, 5.

In roster form, we list all elements inside curly braces: {1, 2, 3, 4, 5}.

Solution:

A set with no elements at all is called an empty set or null set.

It is denoted by {} or the symbol ∅.

Solution:

The empty set is denoted by the symbol ∅ (a circle with a slash).

It can also be written as {} (curly braces with nothing inside).

Solution:

A set containing exactly one element is called a singleton set.

For example, {5} is a singleton set because it has only one element.

Solution:

A finite set has a definite number of elements that we can count.

The letters in MATHEMATICS are: M, A, T, H, E, I, C, S. That is 8 distinct letters.

Natural numbers, even numbers, and points on a line are all infinite.

Solution:

The cardinal number of a set is the number of distinct elements in the set.

A = {a, b, c, d, e} has 5 elements. — n(A) = 5

Solution:

In a set, each element is listed only once; duplicates are ignored.

B = {2, 2, 3, 3, 5} simplifies to B = {2, 3, 5}.

So the cardinal number n(B) = 3.