Question

Statement: Most managers are MBA graduates. No MBA graduate is a CEO. All CEOs are Managers.

Conclusion:

1. Some MBA graduates are managers
2. All managers are CEOs
3. No CEO is an MBA graduate
4. Some CEOs are MBA graduates

Hints:
Consider all statements at face-value and as facts. Do not consider statements based on your understanding of reality. Known information or educated assumptions.

You may consider drawing Venn diagrams to arrive at the conclusion.

Also, be mindful of the following rules of logic:
• No universal conclusion is possible with two particular statements.
• No negative conclusion is possible with two positive statements.
• No positive conclusion is possible with two negative statements.

SELECT ONLY ONE
- Only 1 follows
- Only 1 and 3 follow
- Only 2 follows
- Only 2 and 3 follow

Answer 1

Some MBA graduates are managers.

This conclusion follows. The first statement states that most managers are MBA graduates, which implies that there must be at least some MBA graduates who are managers.

All managers are CEOs.

This conclusion does not follow. The third statement states that all CEOs are managers, but it does not imply that all managers are CEOs. There could be managers who are not CEOs.

No CEO is an MBA graduate.

This conclusion does not follow. The second statement states that no MBA graduate is a CEO, but it does not imply that no CEO is an MBA graduate. There could be CEOs who are not MBA graduates.

Some CEOs are MBA graduates.

This conclusion does not follow. There is no direct information given about the relationship between CEOs and MBA graduates. The statements only provide information about the relationship between MBA graduates, managers, and CEOs, but they do not establish a direct connection between CEOs and MBA graduates.

Therefore, only conclusion 1 follows: Some MBA graduates are managers.