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Only conclusion (II) follows. Neither conclusion (I) nor (II) follows. Only conclusion (I) follows. Both conclusions (I) and (II) follow.
Only conclusion (II) follows.
Neither conclusion (I) nor (II) follows.
Only conclusion (I) follows.
Both conclusions (I) and (II) follow.
Only conclusion (I) follows.
Visualize Venn diagrams: Since all roofs are cats and all cats are grasses, all roofs must be grasses; any intersection between walls and roofs automatically shares space with grasses.
Visualize Venn diagrams: Since all roofs are cats and all cats are grasses, all roofs must be grasses; any intersection between walls and roofs automatically shares space with grasses.
Analyze Statement Relationships
Statements: (1) Some walls are roofs. (2) All roofs are cats. (3) All cats are grasses. By chaining these, we deduce: Some walls are roofs тЖТ roofs are cats тЖТ cats are grasses. Thus, the portion of walls that are roofs must also be grasses.
Evaluate Conclusion (I)
Conclusion (I) states 'Some grasses are walls.' Since some walls are roofs, and all roofs are part of the 'grasses' category, it follows logically that the part of the walls that are roofs are definitely grasses. Thus, some grasses are indeed walls. This follows.
Evaluate Conclusion (II)
Conclusion (II) states 'All grasses are roofs.' This is false because 'All roofs are grasses' does not imply the reverse. The set of grasses is larger than the set of roofs.
A: Incorrect because both conclusions do not follow; B: Incorrect because conclusion (II) is false; D: Incorrect because conclusion (II) is false.
C is correct because the chain of syllogisms confirms that the intersection of walls and roofs is contained within the set of grasses, making (I) true while (II) remains logically invalid.
In Syllogism questions, always remember that 'All A are B' does not mean 'All B are A'тАФthis is a classic trap to test your understanding of set inclusion!
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