###### Question 7474 – TIFR PHD CS & SS 2013

November 5, 2023###### Operating-Systems

November 5, 2023# Question 3706 – UGC NET CS 2015 Dec- paper-2

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 1⁄2 is countable.

Correct Answer: D

Question 3 Explanation:

(a)TRUE: The set of negative integers is countable.

Suppose negative integers set size is 10.

Ex: -1, -2, -3,…..,-10 is countable

(b)TRUE: The set of integers that are multiples of 7 is countable.

Suppose set of integers size is 10.

Ex: 1*7, 2*7, 3*7, …..,10*7 is countable

(c)TRUE: The set of even integers is countable.

Suppose set of even integers size is 10.

Ex: 2,4,6,8,10,….,20

(d) FALSE: The set of real numbers between 0 and 1⁄2 is countable.

We can’t count real numbers.

Ex: 0.1, 0.2, 0.3, …..,0.∞

Suppose negative integers set size is 10.

Ex: -1, -2, -3,…..,-10 is countable

(b)TRUE: The set of integers that are multiples of 7 is countable.

Suppose set of integers size is 10.

Ex: 1*7, 2*7, 3*7, …..,10*7 is countable

(c)TRUE: The set of even integers is countable.

Suppose set of even integers size is 10.

Ex: 2,4,6,8,10,….,20

(d) FALSE: The set of real numbers between 0 and 1⁄2 is countable.

We can’t count real numbers.

Ex: 0.1, 0.2, 0.3, …..,0.∞

(a) and (c)

(b) and (d)

(b) only

(d) only

Subscribe

Login

0 Comments