Question of the Day

Next Tests:
10/3 , 11/7

http://sat.collegeboard.org/practice/sat-question-of-the-day
Jun
30
22,788 responses
55% correct
See Last Thirty Questions:

Mathematics > Standard Multiple Choice

Ten cars containing a total of people passed through a checkpoint. If none of these cars contained more than people, what is the greatest possible number of these cars that could have contained exactly people?

Yep! That's right.

Explanation

It could not be true that each of the ten cars contained exactly people, as this would give a total of only . If nine of the cars contained exactly people, the remaining car could have no more than people, for a total of only . Continuing in the same way, a pattern develops. If eight of the cars contained exactly people, the remaining two cars could have no more than people each, for a total of only . If seven of the cars contained exactly people, the total number of people could be only . From the pattern, you can see that if four of the cars contained exactly people, and the remaining six cars contained the maximum of people, the total number would be , as given in the question. Therefore, at most four of the ten cars could have contained exactly people.