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Option 2 : Either I or III and II follows

Conclusion I: Some athletes are serious → False

Conclusion II: Some athletes have relation is a possibility → True

Conclusion III: No athletes is serious → False

Here, conclusion I and conclusion III makes a complementary pairs. It is the case of either- or.

Hence, “conclusion II and either I or III” follows.

Note: 

Conditions of Either-or case:

1. The elements should be the same in both the statements.

2. Individually both the conclusions should be false.

3. One conclusion should be positive and one conclusion should be negative (Complementary pair)

The two complementary pairs are:

1) All + Some not

2) No + Some

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