An urban transit authority conducted a comprehensive survey of all commuter rail passengers traveling on Line X during peak morning hours. The survey established that every passenger who traveled with a monthly pass completed their journey in under 45 minutes. The survey also determined that 30 percent of all morning peak passengers on Line X did not travel with a monthly pass, and that no passenger without a monthly pass completed their journey in under 30 minutes.
If the statements above are true, which of the following must also be true on the basis of them?
- At least some morning peak passengers on Line X took 30 minutes or more to complete their journey.Cevap
- BAny morning peak passenger on Line X whose journey took under 45 minutes must have held a monthly pass.
- CHolding a monthly pass directly enables passengers to bypass transit delays and reduce overall travel time.
- DPassengers without monthly passes were delayed primarily by ticketing queues at origin stations.
- EThe transit authority will increase the price of monthly passes to manage morning peak congestion.
Cevap
The statement that at least some morning peak passengers on Line X took 30 minutes or more to complete their journey must be true.
The correct answer is strictly derived from combining two premises: 30 percent of peak morning passengers did not hold monthly passes, and zero passengers without monthly passes completed their journey in under 30 minutes. Therefore, all passengers within that 30-percent subset took at least 30 minutes (30 minutes or longer), guaranteeing that at least some passengers took 30 minutes or more.
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Anahtar Kavram
Distinguishing strict logical deductions (Must Be True) from unstated causal assumptions or speculative extrapolations.
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