Read the given statements 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 conclusions logically follow(s) from the statements.
Statements:
All boxes are gifts.
All gifts are cards.
Conclusions:
I. Some boxes are cards.
II. All cards are boxes.
- ANeither conclusion I nor II follows
- BBoth conclusions I and II follow
- COnly conclusion II follows
- DOnly conclusion I follows
Solution & Step-by-step Explanation
Let's analyze using Euler/Venn representations or standard rules:
From statement 1: All boxes ⊂ gifts.
From statement 2: All gifts ⊂ cards.
Combining them, we get: All boxes ⊂ gifts ⊂ cards.
Now let's verify the conclusions:
Conclusion I: "Some boxes are cards." Since all boxes are cards, it naturally implies that some boxes are cards is definitely true.
Conclusion II: "All cards are boxes." This is a converse statement and is not necessarily true (cards circle is larger than boxes circle).
Therefore, only conclusion I follows.
From statement 1: All boxes ⊂ gifts.
From statement 2: All gifts ⊂ cards.
Combining them, we get: All boxes ⊂ gifts ⊂ cards.
Now let's verify the conclusions:
Conclusion I: "Some boxes are cards." Since all boxes are cards, it naturally implies that some boxes are cards is definitely true.
Conclusion II: "All cards are boxes." This is a converse statement and is not necessarily true (cards circle is larger than boxes circle).
Therefore, only conclusion I follows.