Question:
Statement 1: All pingos are Byronic.
Statement 2: Shalisto is Byronic.
Statement 3: Therefore \underline{\hspace{3cm}}
Fill in the blank.
Statement 1: All pingos are Byronic.
Statement 2: Shalisto is Byronic.
Statement 3: Therefore \underline{\hspace{3cm}}
Fill in the blank.
Statement 2: Shalisto is Byronic.
Statement 3: Therefore \underline{\hspace{3cm}}
Fill in the blank.
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From “All A are B”, you cannot conclude “All B are A”. The converse does not follow unless explicitly stated.
Updated On: Aug 11, 2025
- Shalisto is a pingo
- Shalisto is not a pingo
- Shalisto is not Byronic
- None of the above
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The Correct Option is D
Solution and Explanation
Let us analyze the logical structure of the statements:
Statement 1: All pingos are Byronic.
This implies: \[ P(x) \Rightarrow B(x) \quad \text{(If something is a pingo, then it is Byronic)} \] Statement 2: Shalisto is Byronic.
This gives: \[ B(\text{Shalisto}) \] Now, can we conclude from this that Shalisto is a pingo? No. Why? Because the original statement only says: \[ \text{If Pingo, then Byronic} \] But not: \[ \text{If Byronic, then Pingo} \] The implication only works in one direction, not both. Therefore: - Option (a) "Shalisto is a pingo" – Cannot be concluded.} - Option (b) "Shalisto is not a pingo" – Cannot be concluded either.} - Option (c) "Shalisto is not Byronic" – Contradicts given statement.} Conclusion: None of the options follow logically from the given premises. % Final Answer \[ \boxed{\text{(d)}} \]
This implies: \[ P(x) \Rightarrow B(x) \quad \text{(If something is a pingo, then it is Byronic)} \] Statement 2: Shalisto is Byronic.
This gives: \[ B(\text{Shalisto}) \] Now, can we conclude from this that Shalisto is a pingo? No. Why? Because the original statement only says: \[ \text{If Pingo, then Byronic} \] But not: \[ \text{If Byronic, then Pingo} \] The implication only works in one direction, not both. Therefore: - Option (a) "Shalisto is a pingo" – Cannot be concluded.} - Option (b) "Shalisto is not a pingo" – Cannot be concluded either.} - Option (c) "Shalisto is not Byronic" – Contradicts given statement.} Conclusion: None of the options follow logically from the given premises. % Final Answer \[ \boxed{\text{(d)}} \]
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