A plumbing contractor is scheduling plumbers on her crew to work at five job sites next week - an apartment complex, a department store, an office building, a restaurant, and a school. Because of the proximities of and projected workloads at the various job sites, she has decided on the following requirements:- Each plumber working on the apartment complex must also work on either the department store or the school
- A plumber must work on the office building if that plumber works on the restaurant
- Any plumber working on the restaurant but not on the school must also work on the department store
- Of the plumbers working on the department store, those who work on the school must also work on the office building
Any plumber working on the __1__ must also work on the __2__.
Select for 1 and 2 the two job sites that would complement the statement in a way that would accurately reexpress one of the requirements.The correct answers to this question must fulfill the following requirement:
If a plumber works at the location named by blank 1, that plumber MUST work at the location named by blank 2.
Accordingly, a straightforward way to answer this question is to translate the second statement.
A plumber must work on the office building if that plumber works on the restauranttranslates to
If a plumber works on the restaurant, that plumber most work on the office building.Once we have that translation, we can select
restaurant for blank 1 and
office building for blank 2 and be done.
If you don't see that move immediately, you can go through the choices and, for each choice, check to see what the statements say about it and whether the statements indicate that a plumber working at a given location must also work at another.
apartment complexThe first statement indicates that a plumber working on the apartment complex can work at two other possible locations, and none of the other statements further constrains where a plumber working on the apartment complex can work.
So, since a plumber working on the apartment complex has a choice of two other locations, it's not the case that a plumber working on the apartment complex must work at another particular location.
Eliminate.
department storeThe only constraint given for the department store is the one given by the fourth statement, which indicates that, if plumbers work on the department store and the school, they must work on the office building.
Scanning the other statements, we find that there is no statement that indicates that all plumbers who work at the department store must also work at the school. Thus, it's also not the case that all who work on the department store must work on the office buidling.
Eliminate.
office buildingThere are no statements that indicate that plumbers who work on the office building must also work at another site.
Eliminate.
restaurantAs we saw above, if we translate the second statement we get the following:
If a plumber works on the restaurant, that plumber most work on the office building.Thus, we see that restaurant and office building perfectly fill blanks 1 and 2 to produce the following correct statement:
Any plumber working on the restaurant must also work on the office building.schoolThe only constraint associated with the school is presented by the fourth statement.
- Of the plumbers working on the department store, those who work on the school must also work on the office building
Scanning the other statements, we see that there is no statement that indicates that every plumber who works on the school must also work on the department store. In fact, the first and third statements put the department store together with other locations without the school.
Thus, the statements also don't indicate that the department store is always with the office building.
Eliminate.
Correct answer: restaurant,
office building