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Question

Which of the following statement represents a finite set?
  1. Set of positive integers greater than 100
  2. Set of rational numbers between 1 and 2
  3. Set of points common to any 2 parallel lines
  4. Set of points on a line


Solution

The correct option is C Set of points common to any 2 parallel lines
Option A: Set of integers greater than 100 = {101, 102, - - - -}. This is an infinite set as numbers greater than 100 are not countable.

Option B: There are no points common to any 2 parallel lines = { }. This is an empty set with zero elements; thus, it is a finite set. 

Option C : There are infinite points on a line. So, this is also an infinite set. 

Option D : There are infinite rational numbers between any two rational numbers. Thus, the set of rational numbers between 1 and 2 has uncountable number of elements. Thus, it is also an infinite set.

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