If the average of four positive integers is 30, how many integers of these four are greater than 25 ?

1. One of the integers is 100

2. The median of the four integers is 25

The question is not tough, however, I just want to check if my understanding is wrong or there is a problem with this question.

As far as I know, the two statements in DS can not contradict. They both have to be true. I do not see a scenario that both I and II can be true.

II If median is 25, there are only two possibilties:

X, 25, 25, Y

X, 30, 35, Y

either way, there is no way that Statement I can be satisfied ! If one of the integers is 100, then the sum of the other three has to be 20

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