Question : Directions: In the following question, three statements are given followed by four conclusions, I, II, III, and IV. You have to consider the statements to be true even if they seem to be at variance from the commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements.
Statements:
All clerks are superintendents.
All superintendents are managers.
All managers are supervisors.
Conclusions:
I. All supervisors are clerks.
II. Some clerks are supervisors.
III. Some managers are clerks.
IV. All superintendents are clerks.

Option 1: Only conclusions I and II follow

Option 2: Only conclusions II and III follow

Option 3: Only conclusions III and IV follow

Option 4: Only conclusions IV and I follow

Correct Answer: Only conclusions II and III follow

Solution : The possible Venn diagram according to the given statements is as follows –

Let's analyse the conclusions –
Conclusion I: All supervisors are clerks – From the Venn diagram, it is evident that some parts of the circle representing supervisors lie outside the circle representing clerks while some lie inside. So, from this, it can be concluded that some supervisors are clerks. Therefore, this conclusion does not follow.
Conclusion II: Some clerks are supervisors – From the Venn diagram, it is evident that the circle representing clerks completely lies inside the circle representing supervisors. So, from this, it can be concluded that all clerks are supervisors. Thus, if all clerks are supervisors, then some clerks will definitely be supervisors. So, this conclusion follows.
Conclusion III: Some managers are clerks – From the Venn diagram, it is evident that some parts of the circle representing managers lie outside the circle representing clerks while some lie inside. So, from this, it can be concluded that some managers are clerks. Therefore, this conclusion follows.
Conclusion IV: All superintendents are clerks – From the Venn diagram, it is evident that some parts of the circle representing superintendents lie outside the circle representing clerks while some lie inside. So, from this, it can be concluded that some superintendents are clerks. Therefore, this conclusion does not follow.

Therefore, only conclusions II and III follow. Hence, the second option is correct.