Three 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:

All carpets are scholars.

All scholars are trip advisors.

No hat is a trip advisor.

Conclusions:

I. No trip advisor is a scholar.

II. All carpets are trip advisors.

III. Some trip advisors are scholars. ​

IV. No carpet is a hat.