kevincan wrote:
Each correctional facility in a certain state has the same number of interns. If Lockwood Correctional has 22% of the female interns in the state , does it have less than 20% of the male interns?
(1) Lockwood has between 18% and 21% of the state's male interns.
(2) Lockwood has more female interns than does any other facility in the state.
I think it's B (though I spent more than 2 min. to figure it out)
ok, st.1 definitely says nothing.
now, st2. I used numbers. Let's say there are total of 1000 inters in all state's correctional facility. Let's say there 500 males and 500 females. These people should be evenly distributed among at least 5 facilities (incl. Lockwood). Why "at least 5"? Well, st.2 says that Lockwood has more female interns than does any other facility in the state. Which is 22% from the question stem. So, it means that 78% remained females should be distributed in such a manner that no one facility has more that 22%. It could be only if you put this 78% in at least 4 facilities.
So, we have 1000 inters and 5 facilities. Since "each facility has the same number of interns", each facility has 200 people. Now we know that Lockwood has 22% of 500 females, which is 110. It means that there are 90 males in Lockwood (add up to 200). 90 out of 500 is 18% which is less than 20%. you can play with numbers, but I guess the outcome will be the same.
hope I didn't mess up:)