Examine the following statements: I watch TV only if I am bored. I am never bored when I have my brother’s company. Whenever I go to the theatre, I take my brother along. Which one of the following conclusions is valid in the context of the above statements?
- AIf I am bored, I watch TV
- BIf I am bored, I seek my brother’s company
- CIf I am not with my brother, then I watch TV
- DIf I am not bored, I do not watch TVCorrect
Explanation
To solve this logic based question, we must analyze the first statement: I watch TV only if I am bored.
In formal logic, the phrase only if introduces a necessary condition. This means that being bored is a requirement for watching TV. If the requirement of being bored is not met, then the action of watching TV cannot occur.
Therefore, if I am not bored, I do not watch TV. This makes Option D the only valid conclusion.
Option A is incorrect because being bored does not force me to watch TV; it just means I only do it when I am bored. Options B and C introduce assumptions about seeking company or watching TV that are not strictly supported by the logical structure of the given premises.
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