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.
Statements:
Some pencils are houses
All houses are buses.
Conclusions:
I. Some pencils are buses.
II. Some buses are pencils.
III. All buses are pencils
We use elimination to find an exception to the generality of the
conclusions. Thus we prove they are not implied. The diagram above
satisfies all the statements but contradicts conclusion III. Since we
found an exception, the conclusion is not true in "every" case. Thus it
is not implied.
We can draw many scenarios that satisfy the statements using Venn diagrams and check for the validity of the conclusions. Conclusions I and II hold in every case. So, they are implied.
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