Three statements are followed by three conclusions numbered I, II and III. Assuming the statements to be true even if they do not conform to real-world knowledge, decide which of the conclusion(s) logically follows/follow from the statements. Statements 1. All managers are employees. 2. All seniors are managers. 3. Some seniors are pensioners. Conclusions: I. Some pensioners are employees. Il. Some managers are pensioners. III. All employees are seniors.
Three statements are followed by three conclusions numbered I, II and III. Assuming the statements to be true even if they do not conform to real-world knowledge, decide which of the conclusion(s) logically follows/follow from the statements. Statements 1. All managers are employees. 2. All seniors are managers. 3. Some seniors are pensioners. Conclusions: I. Some pensioners are employees. Il. Some managers are pensioners. III. All employees are seniors. Correct Answer Only conclusions I and II follow
The least possible diagram is as follows
Conclusions:
I. Some pensioners are employees → True (as, some seniors are pensioners and all seniors are employees, so part of seniors that are employees are pensioners too)
Il. Some managers are pensioners → True (as, some seniors are pensioners and all seniors are managers, so part of seniors that are managers are pensioners too)
III. All employees are seniors → False (it is possible but not definite as shown in the figure above)
Hence, only conclusions I and II follow.