Select the correct answerStatements: All blades are sharp.Some blades are blunt.No blunt is a sword.Conclusions:I. All sword being blades is a possibility.II. At least some blades may be swords.OptionsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followsIf neither conclusion I nor conclusion II followsIf only conclusion I followsIf only conclusion II follows
Question
Select the correct answerStatements: All blades are sharp.Some blades are blunt.No blunt is a sword.Conclusions:I. All sword being blades is a possibility.II. At least some blades may be swords.OptionsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followsIf neither conclusion I nor conclusion II followsIf only conclusion I followsIf only conclusion II follows
Solution
The correct answer is "If only conclusion II follows".
Here's the step by step reasoning:
Statement 1: All blades are sharp. Statement 2: Some blades are blunt. Statement 3: No blunt is a sword.
Conclusion I: All sword being blades is a possibility. This conclusion does not follow because according to statement 3, no blunt is a sword. Since some blades are blunt (statement 2), it is not possible for all swords to be blades.
Conclusion II: At least some blades may be swords. This conclusion follows because there is no information given that directly contradicts this. While some blades are blunt and no blunt is a sword, this does not rule out the possibility of some blades (that are not blunt) being swords.
Similar Questions
Statements:All mangoes are grapes.Some grapes are black.Conclusions: I. Some mangoes being black is a possibility.II. There is a possibility that some mangoes are not OptionsIf only conclusion I followsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followIf neither conclusion I nor conclusion II followsIf only conclusion II follows
Select the correct answerStatements:No book is a pencil.All pencils are pens.No pen is blue.Conclusions: I. No blue is a pencil.II. All books being pen is a possibility.OptionsIf only conclusion I followsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followIf neither conclusion I nor conclusion II followsIf only conclusion II follows
Statements:All fruits are tasty.No tasty is good.All goods are yummy.Conclusions:I. All yummy things being tasty is a possibility.II. All fruits being yummy is a possibility.OptionsIf only conclusion I followsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followIf neither conclusion I nor conclusion II followsIf only conclusion II follows
Select the correct answerStatements:Some tigers are panthers.No lion is a tiger.Conclusions:I. Some panthers being lions is a possibility.II. Panthers, which are not tigers, being lions is a OptionsIf only conclusion I followsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followIf neither conclusion I nor conclusion II followsIf only conclusion II follows
Select the correct answerStatements:Some golds are silver.All silvers are white.No white is a yellow.Conclusions: I. Some golds which are white are not yellow.II. Some golds being yellow is a possibilityOptionsIf only conclusion I followsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followIf neither conclusion I nor conclusion II followsIf only conclusion II follows
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.