Two Statements are given, followed by four conclusions numbered I, II, III and IV. 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:
1) All mats are vans.
2) Some cots are vans.
Conclusions:
I. All mats are cots.
II. All cots are mats.
III. Some vans are cots.
IV. All vans are mats.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. Only conclusion III follows.
The least possible venn diagram is:
Conclusions:
I. All mats are cots. → Does not follow (It is possible but not definite)
II. All cots are mats. → Does not follow (It is possible but not definite)
III. Some vans are cots. → Follows (As some cots are vans so, some vans are also cots).
IV. All vans are mats. → Does not follow (It is possible but not definite)