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Let $Z$ be the set of integers and $a R b$, where $a, b \in Z$ if anc only if $(a-b)$ is divisible by $5 .$ Consider the following statements:
1.The relation $R$ partitions $Z$ into five equivalentclasses
2.Any twoequivalent classes are either equal or disjoint Which of the above statements is/are correct?
Options:
1.The relation $R$ partitions $Z$ into five equivalentclasses
2.Any twoequivalent classes are either equal or disjoint Which of the above statements is/are correct?
Solution:
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The correct answer is:
Both 1 and 2
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