Everyone in Biba's neighborhood is permitted to swim at Barton Pool at some time during each day that it is open. No children under the age of 6 are permitted to swim at Barton Pool between noon and 5 P.M. From 5 P.M. until closing, Barton Pool is reserved for adults only.
If all the sentences above are true, then which one of the following must be true?
Options
Few children under the age of 6 live in Biba's neighborhood
If Biba's next-door neighbor has a child under the age of 6, then Barton Pool is open before noon
If most children who swim in Barton Pool swim in the afternoon, then the pool is generally less crowded after 5 P.M.
On days when Barton Pool is open, at least some children swim there in the afternoon
Solution
If Biba's next-door neighbor has a child under the age of 6, then Barton Pool is open before noon
Explanation:
According to the argument, that children under six are not allowed from 12 to 5 P.M. and also after 5 P.M., to closing time. This means that they can go to the pool only before noon. Since everyone in the neighborhood is permitted to swim at the pool, if the neighborhood has a child under six, then the pool must be open for him/her before noon. Hence, 'If Biba's next-door neighbor has a child under the age of 6, then Barton Pool is open before noon' is the correct choice.
