<p>Family====Number of consecutive nights
Jackson=====10
Cullan==========5
Epstein==========8
Liu==============6
Benton============8</p>
<p>The table above shows the number of consecutive nights that each of five families stayed at a certain hotel during a 14-night period, if the liu family's stay didn't overlap with the Benton family stay, which of the 14-nights could be a night on which only one of the five families stayed at the hotel?</p>
<p>A) The 3rd
B) The 5th
C) The 6th
D) The 8th
E) The 10th</p>
<p>Ok, this means that you can just ignore the Liu and Benton family and see when there is a possibility that none of the other families stayed there. Since overlap is possible, you’ve only got to look at the biggest number, which is the Jackson family. They have to be there on the 5th, 6th, 8th and 10th night, but not on the 3rd night (if they go from 4 - 14). So I’d say A. </p>
