Question 57
Let $x, y, z, t$ be pairwise distinct positive integers and $n = 2^x + 2^y + 2^z + 2^t$. The division of $n$ by $305$ gives the quotient $2^a$ and leaves the remainder $0$, where $a$ is a non-negative integer.
Find the remainder of the division of $a + x + y + z + t$ by $5$.
Find the remainder of the division of $a + x + y + z + t$ by $5$.