Statements:All politicians are honest. All honest are fair.Conclusions...
Clearly, it follows that 'All politicians are fair'. I is the converse of the first premise, while III is the converse of the above conclusion. So, both I and III hold.
View all questions of this test
Statements:All politicians are honest. All honest are fair.Conclusions...
**Statement Analysis:**
Given statements:
1. All politicians are honest.
2. All honest are fair.
Conclusions:
1. Some honest are politicians.
2. No honest is politician.
3. Some fair are politicians.
4. All fair are politicians.
Let's analyze each conclusion one by one.
**Conclusion 1: Some honest are politicians.**
This conclusion is valid because the first statement states that all politicians are honest. Therefore, it is possible for some honest individuals to be politicians.
**Conclusion 2: No honest is politician.**
This conclusion is not valid as it contradicts the first statement. The first statement states that all politicians are honest, so it implies that there is at least one honest person who is a politician.
**Conclusion 3: Some fair are politicians.**
This conclusion is valid because the second statement states that all honest individuals are fair. Therefore, it is possible for some fair individuals to be politicians.
**Conclusion 4: All fair are politicians.**
This conclusion is not valid as it goes beyond the information given in the statements. The second statement only establishes a relationship between honesty and fairness, but it does not imply that all fair individuals are politicians.
Based on the analysis, we can conclude that only conclusions 1 and 3 follow. Therefore, the correct answer is option 'D': Only conclusions I and III follow.