Question

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.

Answer 1

Correct Answer - 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.