In this question, three statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follows/follow from the statements.Statements:I. All vases are bottles.II. All bottles are flasks.III. All flasks are cups.Conclusions:I. Some cups are bottles.II. All vases are flasks.
- ABoth conclusions I and II follow
- BOnly conclusion I follows
- CNeither conclusion I nor II follows
- DOnly conclusion II follows
Solution & Step-by-step Explanation
Let's evaluate the statements using a Venn diagram structure or logical deduction: From I and II: Since All vases are bottles, and All bottles are flasks, we can conclude that All vases are flasks. Thus, Conclusion II is definitely true.From II and III: All bottles are flasks, and All flasks are cups, which implies All bottles are cups. If all bottles are cups, it naturally follows that Some cups are bottles. Thus, Conclusion I is definitely true.Therefore, both conclusions I and II follow.