Instructions

In each of the questions below are given two statements followed by three conclusions numbered I, II and III. You have to take the given statements to be true even if they seem to be 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 178

Statements:
Some trees are roads.
All roads are stones
Conclusions:
I. All trees are roads
II. Some stones are trees
II. No stone is tree

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 conclusions I and III. Since we found an exception, the conclusions are not true in "every" case. Thus they are not implied.

We can draw many scenarios that satisfy the statements using Venn diagrams and check for the validity of the conclusions. Conclusion II holds in every case. So, it is implied.


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