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Maths-

General

Easy

Question

Let $R$ be a relation defined on $S comma$ the set of squares on a chess board such that $x R y$ iff $x$ and $y$ share a common side. Then, which of the following is false for $R ?$

Reflexive
Symmetric
Transitive
All the above

The correct answer is: Transitive

Clearly, $R$ is reflexive and symmetric but it is not transitive

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