Question 7474 – TIFR PHD CS & SS 2013
November 5, 2023Operating-Systems
November 5, 2023UGC NET CS 2015 Dec- paper-2
| Question 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 1⁄2 is countable.
(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.
| (a) and (c) | |
| (b) and (d) | |
| (b) only | |
| (d) only |
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.∞
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.∞
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