Statements:All politicians are honest. All honest are fair.Conclusions:I. Some honest are politicians.II. No honest is politician.III. Some fair are politicians.IV. All fair are politicians.Which of the following is/are most appropriate in the above scenario?
Correct answer: D. Only I and III
- A. Only III
- B. Only I
- C. Only I and II
- D. Only I and III
Explanation
Statements:All politicians are honest.This means every politician is honest, but not all honest people are politicians.All honest are fair.This means every honest person is also fair, but not all fair people are honest.Now, let's evaluate the conclusions:I. Some honest are politicians.This follows. Since all politicians are honest, some honest people are politicians, specifically those who are politicians.II. No honest is politician.This does not follow. The first statement says that all politicians are honest, so there are honest people who are politicians. Therefore, the conclusion that "no honest is politician" is incorrect.III. Some fair are politicians.This follows. Since all politicians are honest and all honest people are fair, all politicians are fair. So, there are some fair people who are politicians.IV. All fair are politicians.This does not follow. While all politicians are fair, we cannot conclude that all fair people are politicians. The fair group is larger than just politicians, so not all fair people are necessarily politicians.Final Answer: Conclusions I and III follow.
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