Five consecutive positive integers are chosen at random. If the average of the 5 integers is odd...

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Five consecutive positive integers are chosen at random. If the average of the five integers is odd, what is the remainder when the largest of the five integers is divide by 4?

1) The third of the five integers is a prime number.
2) The second of the five integers is the square of an integer.

OA B
Source: — Data Sufficiency |