Directions: Accept the statements as true and identify the conclusion that must follow logically, without relying on everyday facts.

Statements:
Some bicycles are repairs.
Every repair is a scheduled task.
Some repairs are inspections.
No inspection is a bicycle.
Conclusions:
I. Some scheduled tasks are inspections.
II. All inspections are bicycles.

Which conclusion follows logically?

Correct Answer: Only conclusion I follows

Step-by-Step Explanation:

To determine which conclusion logically follows, let us analyze the given statements step-by-step:

Given Statements:
1. Some bicycles are repairs. (There is an overlap between bicycles and repairs.)
2. Every repair is a scheduled task. (The entire category of repairs lies within scheduled tasks.)
3. Some repairs are inspections. (There is an overlap between repairs and inspections.)
4. No inspection is a bicycle. (Inspections and bicycles are completely separate sets with no common elements.)

Evaluating Conclusion I: Some scheduled tasks are inspections.
• Statement 3 tells us that there exist elements that belong to both repairs and inspections.
• Statement 2 tells us that every repair is automatically a scheduled task.
• Combining these two statements, any item that is a repair and an inspection must also be a scheduled task.
• Therefore, there are definitely scheduled tasks that are inspections.
Hence, Conclusion I logically follows.

Evaluating Conclusion II: All inspections are bicycles.
• Statement 4 explicitly states: "No inspection is a bicycle."
• This completely rules out any possibility of an inspection being a bicycle.
Hence, Conclusion II does not follow.

Final Summary:
Since Conclusion I is guaranteed to be true based on the premises while Conclusion II is false, the correct answer is Only conclusion I follows.