A car manufacturer makes three models: Basic, Intermediate and Pre-mium. It has made the decision to recall all its Basic and Premium models manufactured in September 2016. All Basic models have developed a fault, whereas only some of the Premium models have. Answer YES if the conclusion follows and NO if it does not.
Q29.1 A car with no fault cannot have been manufactured in September.
029.2 A car with a fault must have been manufactured in September.
029.3 Intermediate cars made in August 2016 have no fault.
029.4 A car made in September, which has no fault, is a Premium model.
Q29.5 More Basic models will be recalled than Premium models.
Answer and Explanation
Q29.1 — NO. We know that only some Premium models have a fault, mean-ing some don't. As such, it cannot be concluded that a car with no fault can't have been manufactured in September.
Q29.2 — NO. We know nothing about cars manufactured in other months. As such it is possible that some cars manufactured outside of September may have faults.
Q29.3 — NO. The text says nothing about Intermediate cars, other than that they exist.
Q29.4 — NO. Since we know nothing about Intermediate cars, it is possible that some of them may have no fault.
Q29.5 — NO. All we know is that the proportion of Premium models with a fault is lower than the proportion of Basic models with a fault (which is 100%). But we know nothing about absolute numbers.
Drafted by Juno (UCAT Prep)