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 machines are factories.
Some factories are shops.
Some shops are houses.
Conclusions:
I. Some houses are factories.
II. Some machines are houses.
III. Some factories are machines.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. Only conclusion III follows.
The least possible diagram is shown below:
Conclusions:
I. Some houses are factories → Does not follow (This conclusion does not follow as some factories are shops and some shops are houses so this does not means some houses are factories.)
II. Some machines are houses → Does not follow (This conclusion also does not follow as all machines are factories and some factories are shops and some shops are houses so this does not means some machines are houses.)
III. Some factories are machines → Follow (This conclusion follows as all machines are factories so definitely some factories are machines.)
Hence, Only conclusion III follows is the correct answer.