{"@context":"https://schema.org/","@type":"Quiz","dateCreated":"2022-07-06T10:30:01.116Z","dateModified":"2022-07-06T10:30:01.116Z","typicalAgeRange":"11-18","educationalLevel":"","assesses":"Mathematics - Relations and functions","educationalAlignment":[{"@type":"AlignmentObject","alignmentType":"educationalTopic","targetName":"Relations and functions"},{"@type":"AlignmentObject","alignmentType":"educationalSubject","targetName":"Mathematics"},{"@type":"AlignmentObject","alignmentType":"educationalExam","targetName":""}],"name":"Quiz about Relations and functions","about":{"@type":"Thing","name":"Mathematics - Relations and functions"},"hasPart":[{"@type":"Question","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","educationalLevel":"intermediate","name":"Question About Relations and functions","text":"Let R be a reflexive relation on a finite set A having n-elements, and let there be m ordered pairs in R. Then}","encodingFormat":"text/markdown","comment":{"@type":"Comment","text":"\"\""},"suggestedAnswer":[{"@type":"Answer","position":0,"encodingFormat":"text/markdown","text":"

$m \\ge n$

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":1,"encodingFormat":"text/markdown","text":"

$m \\le n$

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":2,"encodingFormat":"text/markdown","text":"

$m = n$

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":3,"encodingFormat":"text/markdown","text":"

None of these

","comment":{"@type":"Comment","text":"\"\""}}],"acceptedAnswer":{"@type":"Answer","position":0,"encodingFormat":"text/markdown","text":"

$m \\ge n$

","comment":{"@type":"Comment","text":"\"\""},"answerExplanation":{"@type":"comment","text":"Since R is reflexive relation on A, therefore $(a,a) \\in R$ for all $a \\in A$ . The minimum number of ordered pairs in R is n. Hence , $m \\ge n$"}}}]}

Let R be a reflexive relation on a finite set A having n-elements, and let there be m ordered pairs in R. Then

The Correct Option is A

Solution and Explanation