Three Statements are given followed by four conclusions numbered 1, 2, 3, and 4. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically does NOT follow(s) from the statements.
Statements:
All K are S.
No S is a B.
Some B are T.
Conclusions:
1) No K are B.
2) Some T are not S.
3) Some T are B.
4) All B being K is a possibility.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. Only 4 does not follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
1) No K are B → True (As all K are S, and no S is B, so, no K is B.)
2) Some T are not S → True (As some B are T, and no S is B, so, some T are not S is also true.)
3) Some T are B → True (As some B are T, so, some T are B is also true.)
4) All B being K is a possibility → False (It is possible, but no definite conclusion can be drawn.)
Hence, Only 4 does not follow.