A series of five integers have the following criteria:
I. The median of the integers is 6
II. The only mode is 2
III. The mean is 5
Which of the following is true?  Choose the correct option
A) The sum of the five integers is 30.
B) The sum of the five integers is 10
C) The median of the three largest integers is 6.
D) The largest integer is 9.
E) The largest integer is 8.
As per the given statements, we can infer (2+2+6+x+y)/5=5 ; x+y = 15   Since 6 is the median, x and y will have to be greater than 6. Only 7+8 can satisfy this condition.   Hence, The largest integer is 8. is the correct answer.
<result>E</result>
A series of five integers have the following criteria:
I. The median of the integers is 6
II. The only mode is 2
III. The mean is 5
Which of the following is true?