Statements:
Some bottles are jars.
All jars are cans.
No can is box.
Conclusions:
I. Some bottles are cans.
II. Some cans are jars.
III. No jar is box.
Which conclusions follow?
Show answer & explanation
Correct answer: D
Explanation
Given Statements:
• Some bottles are jars.
• All jars are cans.
• No can is box.
Evaluation of Conclusions:
• Conclusion I: 'Some bottles are jars' and 'All jars are cans' implies that the common part of bottles and jars is also part of cans. Thus, Some bottles are cans definitely follows.
• Conclusion II: Since 'All jars are cans', it directly converts to Some cans are jars. Thus, Conclusion II definitely follows.
• Conclusion III: Since all jars lie completely inside cans, and no can can be a box, no part of jars can ever be a box. Thus, No jar is box definitely follows.
Hence, all conclusions follow.
Correct Answer: (D) All follow