Read the given statement(s) and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusion(s) logically follow(s) from the statement(s).
Statements:
All Cabbages are Peas.
No Peas are Broccolis.
Conclusions:
I: No Broccolis are Cabbages.
II: Some Broccolis are Cabbages.

Correct Answer: Only conclusion (I) follows

Step-by-step Explanation:

1. Analyze the Given Statements:

• Statement 1: "All Cabbages are Peas."
This means that the set of Cabbages is completely contained inside the set of Peas (Cabbages ⊆ Peas).

• Statement 2: "No Peas are Broccolis."
This means that the set of Peas and the set of Broccolis have no elements in common, i.e., their intersection is empty (Peas ∩ Broccolis = ∅).

2. Evaluate Conclusion I: "No Broccolis are Cabbages."

Since all Cabbages lie entirely inside the set of Peas, and no Peas can touch or overlap with Broccolis, it logically follows that no Cabbages can touch or overlap with Broccolis either. Therefore, Broccolis and Cabbages are completely disjoint sets. Hence, Conclusion I is true and logically follows.

3. Evaluate Conclusion II: "Some Broccolis are Cabbages."

Since no Broccolis can be Cabbages (as deduced above), the claim that "Some Broccolis are Cabbages" directly contradicts the derived fact. Hence, Conclusion II is false and does not follow.

Conclusion:

Thus, Only conclusion (I) follows.