Mathematics · Set Theory and Relations
A relation R on the set of integers Z is defined as R = {(a, b) | (a - b) = km for some fixed integer m and k ∈ Z}. The relation R is:
- 1Reflexive but not symmetric
- 2Symmetric but not transitive
- 3Transitive but not reflexive
- 4An equivalence relation✓
Correct answer
An equivalence relation
Download Single Question PDF
Save this question and verified answer as a clean study sheet with live clickable link.
Share with Friends & Study Groups
Challenge your peer aspirants on WhatsApp or Telegram to solve this question!
Preparing for Mathematics?
Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.
Want more practice questions on Set Theory and Relations?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Mathematics · Set Theory and Relations