Instructions

In each of the questions below are given three statements followed by four conclusions numbered I, II, III and IV. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Question 20

Statements: Some pens are rooms. Some rooms are cats.
Some cats are windows.
Conclusions:
I. Some windows are rooms
II. Some cats are pens
III. Some pens are windows
IV. Some pens are cats

Solution

We use elimination to find an exception to the generality of the conclusions. Thus we prove they are not implied. The diagram below satisfies all the statements but contradicts all the conclusions. Since we found an exception, the conclusions are not true in "every" case. Thus they are not implied.