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 180

Statements:
All books are pins
Some pins are desks
Conclusions:
I. Some desks are books
II. All desks are pins
III. No desk is book

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

Irrespective of the diagram, conclusions I and III are universally complimentary ie. one of the two always has to be implied but both can't be true at the same time. Hence we use "either" and "or".


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