Question No. 14Marks : 1.00    B is true           Neither A nor B is true           Either A or B can be true depending upon situation           A is true

It seems like you're presenting a logical question regarding the truth values of two propositions, A and B. Based on your options, it appears there are four statements regarding the truth of A and B:

1. B is true.
2. Neither A nor B is true.
3. Either A or B can be true depending upon the situation.
4. A is true.

To analyze this logically, consider the implications of each option in the context of propositional logic without requiring step-by-step calculations.

Logical Analysis

• Option 1 (B is true): This claims that proposition B holds. If this is the case, then A can be either true or false without contradicting B’s truth value.

• Option 2 (Neither A nor B is true): If this statement is true, both A and B cannot hold. This creates a contradiction if any of the other options are claimed to be true.

• Option 3 (Either A or B can be true depending upon the situation): This option is flexible, allowing room for either proposition to hold. However, it does not provide definitive information about the truth status of A and B.

• Option 4 (A is true): This asserts that A holds true. If A is true, then B’s status could vary (it could be true or false) without creating a logical inconsistency.

Summary

Without more context about the relationship between A and B or specifics about their truth values, it is impossible to definitively conclude which option is the correct one. Each statement has its implications based on the truth values assigned to A and B. Further information about the propositions may clarify their relationships.

If your question requires selecting one of these options based on a scenario, please provide that context!