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. Then decide which of the answer 1),2),3),4) and 5) is the correct answer and indicate it on the answersheet.

Question 12

Statements: Some desks are chairs.
All chairs are tables.
Some tables are mats.
Conclusions:I.Some mats are desks.
II.Some tables are desks.
III.Some mats are chairs.

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 the conclusions I and III. Since we found an exception, the conclusions are not true in "every" case. Thus they are not implied.
We can draw many scenarios that satisfy the statements using Venn diagrams and check for the validity of the conclusions. Conclusion II holds in every case. So, it is implied.