Statements : All cups are books. All books are shirts. Conclusions : I. Some…
2024
Statements :
All cups are books.
All books are shirts.
Conclusions :
I. Some cups are not shirts.
II. Some shirts are cups.
- A.
Only (I) conclusion follows
- B.
Only (II) conclusion follows
- C.
Either (I) or (II) follows
- D.
Neither (I) nor (II) follows
Attempted by 7 students.
Show answer & explanation
Correct answer: B
Based on the Venn diagram:
1. The 'Cups' circle is inside the 'Books' circle, meaning All Cups are Books.
2. The 'Books' circle is inside the 'Shirts' circle, meaning All Books are Shirts.
3. Consequently, all Cups are inside the 'Shirts' circle (All Cups are Shirts).
Evaluating Conclusions:
I. 'Some cups are not shirts': This is False because every cup is a shirt.
II. 'Some shirts are cups': This is True because the set of Cups is a subset of Shirts, so there exists an overlap (specifically, all cups are shirts).
Result: Only Conclusion II follows.