2015 AMC 10B Problem 10

What is the sign and units digit of the product of all the odd negative integers strictly greater than -2015?

\textbf{(A) } \text{It is a negative number ending with a 1.}

\textbf{(B) } \text{It is a positive number ending with a 1.}

\textbf{(C) } \text{It is a negative number ending with a 5.}

\textbf{(D) } \text{It is a positive number ending with a 5.}

\textbf{(E) } \text{It is a negative number ending with a 0.}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.