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Let R be a relation defined on S, the se...

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

A

Reflexive only

B

Symmetric

C

Transitive

D

All the above.

Text Solution

Verified by Experts

The correct Answer is:
C
(i) Check by taking examples.
(ii) Consider the three squares of the board as follows.

Squares 1 and 2 share a common side and squares 2 and 3 share a common side, but squares 1 and 3 does not share 4 common side.
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