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Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

DM - Grand Test -Q14


Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177
+1 vote
Consider the following statements:

1. Inverse of a partial order relation need not be a partial order relation.

2. Inverse of a total order relation need not be a total order relation.

Which of the above statements is/are True?

(A) Only 1

(B) Only 2

(C) Both

(D) None
asked Aug 30, 2020 by gbeditor-2 (72,840 points)
reshown Aug 31, 2020 by gbeditor-2

1 Answer

+1 vote
 
Best answer
A partial order relation is a relation which has the following three properties :

1. Reflexive

2. Anti-symmetric

3. Transitive

All of them are closed under the inverse operation , thus the inverse of a Partial order relation will always be a Partial order relation , i.e Partial order relations are closed under the inverse operation.

 

Coming to the total order , it's a chain , inverse a chain , you get a chain , thus closed.

So none of them is correct.
answered Sep 7, 2020 by prashantpro19 (970 points)
selected Sep 7, 2020 by deepak-gatebook
Answer:

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