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2011年8月29日
考试类型:Mathematics > Standard Multiple Choice
Read the following SAT test question and then click on a button to select your answer.
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?
A. One
B. Two
C. Three
D. Four
E. Five
正确答案:D
解析:
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.