Instructions

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

Question 31

Statements
Some books are pens.
Some pens are watches.
All watches are radios.
Conclusions
I.Some radios are watches.
II.Some radios are pen.
III.Some watches are books.
IV.Some books are watches.

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

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


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