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 19

Statements: All jungles are buses. All books are buses.
All fruits are books
Conclusions:
I. Some fruits are jungles
II. Some buses are books
III. Some buses are jungles
IV. All fruits are buses

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 conclusion I. Since we found an exception, the conclusion is not true in "every" case. Thus it is not implied.

We can draw many scenarios using Venn diagrams. Conclusions II, III and IV hold in every case. So, they are implied.


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