In the municipality of Oakridge, every public transit bus equipped with automated passenger counting sensors is powered by a hybrid-electric drivetrain. Furthermore, no bus in Oakridge's transit fleet that is powered by a hybrid-electric drivetrain is permitted to operate on rural express routes.
If the statements above are true, which of the following must also be true on the basis of them?
- AEvery bus in Oakridge's transit fleet that is powered by a hybrid-electric drivetrain is equipped with automated passenger counting sensors.
- Any bus in Oakridge's transit fleet that is permitted to operate on rural express routes lacks automated passenger counting sensors.Answer
- CAll buses in Oakridge's transit fleet that lack automated passenger counting sensors are permitted to operate on rural express routes.
- DEquipping a bus with automated passenger counting sensors is sufficient to permit it to operate on rural express routes in Oakridge.
- EMost buses in Oakridge's transit fleet that operate on rural express routes are powered by conventional diesel engines.
Answer
Any bus in Oakridge's transit fleet that is permitted to operate on rural express routes lacks automated passenger counting sensors.
The stimulus establishes two formal conditional relationships: (1) having automated passenger counting sensors implies a hybrid-electric drivetrain, and (2) having a hybrid-electric drivetrain precludes operating on rural express routes. Combining these yields the deduction that any bus equipped with these sensors cannot operate on rural express routes. The contrapositive of this deduction is that any bus permitted to operate on rural express routes cannot have automated passenger counting sensors, which exactly matches the correct statement.
Step-by-Step Solution
Key Concept
Transitive Conditional Logic and Contrapositive Inference
Estimated Time:50s