Instructions

In each of the question below are given three statements followed by three conclusions numbered I, II III 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 three given statements disregarding commonly known facts.

Question 147

# Statements:All baskets are poles. Some poles are lamps. All lamps are roads.Conclusions:I.Some lamps are baskets. II.Some roads are poles. III.Some lamps are poles.

Solution

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 I. 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 II and III hold in every case. So, they are implied.