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 T are P.
All C are P.
Some O are C.
Conclusions:
I. Some T are C.
II. Some P are T.
III. Some P are O.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. Both conclusions II and III follow.
The least possible venn diagram is:
Conclusions:
I. Some T are C. → Does not follow (As there is no direct relation between them)
II. Some P are T. → Follows (As all T are P. So, some P are definitely T.)
III. Some P are O. → Follows (As all C are P and some O are C. So, some P are also O.)