patto
If the city starts requiring residents to sort the materials that they put out for recycling, then many residents will put more recyclables in with their regular garbage. This will result in more recyclables being buried in the city's landfill. However, because of the cost of having city workers do the sorting, the sanitation department will not stay within its budget unless the sorting requirement for residents is implemented.
Which one of the following statements logically follows from the information above?(A) Most of the city's residents will continue to recycle even if a sorting requirement is implemented.
(B) If the city starts requiring residents to sort their recyclables, then all of the residents who continue to recycle will sort their recyclables.
(C) Implementing the sorting requirement would not cause the city's annual cost of sending garbage to its landfill to exceed its current annual cost of sorting recyclables.
(D) The amount of recyclables going to the city's landfill will increase if the sanitation department stays within its budget.
(E) If the city implements the sorting requirement, the sanitation department will stay within its budget.
Given in the argument: the sanitation department will not stay within its budget unless the sorting requirement for residents is implemented.
Unless can be converted to 'If not' to get the implications of the condition.
Given in the argument: If sorting is not implemented, dept will not stay within budget.
What does this if-then statement imply? Only two things:
If we know that sorting was not implemented, we can say that the dept did not stay within budget.
If we know that the dept stayed within budget, we know that sorting was implemented.
(D) The amount of recyclables going to the city's landfill will increase if the sanitation department stays within its budget.
If we know that the sanitation dept stayed within budget, we can say that sorting was implemented. If sorting was implemented, we know that garbage going into landfill would have increased. Hence, (D) is correct. It follows logically from the given argument.
(A) Most of the city's residents will continue to recycle even if a sorting requirement is implemented.
We don't know whether most will continue to recycle. We are only given that many will reduce recycling. Whether most will continue recycling or not, we don't know.
(B) If the city starts requiring residents to sort their recyclables, then all of the residents who continue to recycle will sort their recyclables.
We don't know how many residents will follow the sorting requirement.
(C) Implementing the sorting requirement would not cause the city's annual cost of sending garbage to its landfill to exceed its current annual cost of sorting recyclables.
We don't know which cost is higher since they are not compared in the argument.
(E) If the city implements the sorting requirement, the sanitation department will stay within its budget.
We know what happens if the sorting is NOT implemented (city doesn't stay within budget). But we do not know what happens when sorting is implemented. There could be other reasons why the city exceeds its budget or it may not exceed its budget - we don't know.
Remember, 'If A then B' implies only 2 things:
Given A, B follows.
Given 'not B,' 'not A' follows