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Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts and decide which conclusion(s) logically follow(s) from the given statements. Statements: All hands are legs. No leg is an eye. Conclusions: I. All legs are hands. II. No hand is an eye.
Both conclusions I and II follow
Only conclusion I follows
Neither conclusion I nor II follows
Only conclusion II follows
Only conclusion II follows
Visualize Venn diagrams: All A are B means circle A is inside circle B. No B is C means circle B and C are separate. Therefore, any A is also not C.
Visualize Venn diagrams: All A are B means circle A is inside circle B. No B is C means circle B and C are separate. Therefore, any A is also not C.
Visualize the Statements
Statement 1: 'All hands are legs' means the entire set of hands is contained within the set of legs. Statement 2: 'No leg is an eye' means the set of legs has zero overlap with the set of eyes.
Evaluate Conclusions
Conclusion I: 'All legs are hands' is false because only the subset 'hands' is within 'legs'. Conclusion II: 'No hand is an eye' is true because if no leg is an eye and all hands are legs, then hands cannot be eyes.
Option A: Conclusion I does not follow; Option B: Conclusion I does not follow; Option C: Conclusion II follows, so this is incorrect.
D is correct because conclusion I is not necessarily true (only all hands are legs), but conclusion II logically follows since hands are a subset of legs, which are excluded from eyes.
In 'All A are B' type statements, 'All B are A' is not necessarily true. Always look for the subset relationship before jumping to conclusions.