In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statements:(I) All fans are cups.(II) All cups are pillows.Conclusions:(I) All fans are pillows.(II) All pillows are fans.
- AConclusion I follows
- BConclusion II follows
- CNeither I nor II follows
- DBoth I and II follows
Solution & Step-by-step Explanation
Let's evaluate using Venn diagrams or logical deduction:From statement (I), the set of 'fans' is completely inside the set of 'cups'.From statement (II), the set of 'cups' is completely inside the set of 'pillows'.Therefore, the set of 'fans' is automatically inside the set of 'pillows'.Conclusion I: "All fans are pillows" must be true. (Follows)Conclusion II: "All pillows are fans" is not necessarily true, as there can be parts of 'pillows' outside 'fans'. (Does not follow)Thus, only conclusion I follows.