UPSC Prelims 2012·CSAT·Logical Reasoning·Deductive Logic

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?

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Last updated 23 May 2026, 3:31 pm IST
  1. AIf I am bored, I watch TV
  2. BIf I am bored, I seek my brother's company
  3. CIf I am not with my brother, then I watch TV
  4. 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.
Logical Reasoning: 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

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