You are given a mathematical question described with an open-ended vocabulary. Questions in this task involve real-world situations, describing a mathematical problem. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge. Give only one answer for each question.

There are a total of 256 people at a party. If after every 5 minutes, half of the people present leave, how many people will still remain after 20 minutes?
(A)128 (B)80 (C)64 (D)32 (E)16
E

Laurel is taller than Nick but shorter than Vince. If we let the letters L, N, and V represent the heights of Laurel, Nick, and Vince, in that order, which of these is true?
(A)\(L < N < V\) (B)\(L < V < N\) (C)\(N < L < V\) (D)\(N < V < L\) (E)\(V < L < N\)
C

The population density of a region is the number of people living in the region per square mile. Jackson County is a rectangle whose length is \(l\) miles and whose width is \(w\) miles. How many people live in Jackson County if its population density is \(d\)?
(A)\(dlw\) (B)\(\frac { lw } { d } \) (C)\(\frac { d } { lw } \) (D)\(\frac { 2(l + w) } { d } \) (E)\(\frac { l + w } { 2d } \)

A