Which idea is correct for G = {x : x is the name of a month having 31 days}?
Answer and explanation
Correct answer: It is a finite set
The governing concept is classification of sets by size and clarity of definition. The condition “month having 31 days” is objective and identifies exactly seven names: January, March, May, July, August, October, and December. The set therefore has a limited number of clearly specified elements, so it is finite. It is neither empty nor infinite, and the rule is well-defined. Thus option A is correct.
Frequently asked questions
What is the correct answer to this question?
It is a finite set
Why is this the correct answer?
The governing concept is classification of sets by size and clarity of definition. The condition “month having 31 days” is objective and identifies exactly seven names: January, March, May, July, August, October, and December. The set therefore has a limited number of clearly specified elements, so it is finite. It is neither empty nor infinite, and the rule is well-defined. Thus option A is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions. Topic: General chapter practice.
