Examine the following statements: 1) I watch TV only if I am bored. 2) I am never bored when I have my brother's company. 3) 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 TV.Correct
Explanation
The logic behind the correct answer is based on the first statement: I watch TV only if I am bored.
In logical terms, the phrase only if introduces a necessary condition. This means being bored is a requirement for watching TV. If that requirement is not met meaning you are not bored, then the action of watching TV cannot happen.
Therefore, if I am not bored, I do not watch TV.
Option A is incorrect because being bored does not force me to watch TV; it just means I only do it during those times. Options B and C introduce assumptions about the brother that are not supported by the logical link between boredom and television provided in the first statement.
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