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UGC-NET | UGC NET CS 2015 Dec – II | Question 3

  • Last Updated : 01 May, 2018

3. Which of the following is/are not true?
(a)The set of negative integers is countable.
(b)The set of integers that are multiples of 7 is countable.
(c)The set of even integers is countable.
(d)The set of real numbers between 0 and ½ is countable.
(A) (a) and (c)
(B) (b) and (d)
(C) (b) only
(D) (d) only


Answer: (D)

Explanation:

  • The set of negative integers is countable.
  • The set of integers that are multiples of 7 is countable.
  • The set of even integers is countable.
  • The set of real numbers between 0 and ½ is countable.This is not true because we can not count set of real numbers.

For more information on countability Refer:Mathematics | Power Set and its Properties
Option (D) is correct.

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