Three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
All bottles are jugs.
Some bottles are flasks.
All flasks are bins.
Conclusions:
I. Some bottles are bins.
II. Some jugs are bins.
III. Some flasks are jugs.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. All conclusions I, II and III follow.
The least possible Venn diagram is as follows:
Conclusions:
I. Some bottles are bins. - Follows (Because, Some bottles are flasks and All flasks are bins)
II. Some jugs are bins. - Follows (Because, All bottles are jugs, Some bottles are flasks and All flasks are bins, so Some jugs are also bins)
III. Some flasks are jugs. - Follows (Because, All bottles are jugs, Some bottles are flasks and All flasks are bins, so Some flasks are also jugs)