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.

Ex Input:
If a team played g games and won w of them, what fraction of the games played did the team lose?
(A)\(
rac { w - g } { w } \) (B)\(
rac { w - g } { g } \) (C)\(
rac { g - w } { g } \) (D)\(
rac { g } { g - w } \) (E)\(
rac { g - w } { w } \)

Ex Output:
C

Ex Input:
A certain brand of soup contains 10 percent tomato paste by volume. Which of the following expressions represents the percent of tomato paste by volume in a mixture of s cups of soup and w cups of water?
(A)\(
rac{10s}{w}\)\% (B)\(
rac{10}{s + w}\)\% (C)\(
rac{s + w}{10}\)\% (D)\(
rac{10s}{s + w}\)\% (E)\(
rac{s}{10(s + w)}\)\%

Ex Output:
D

Ex Input:
There are 5 red, 5 green, 5 blue, and 5 yellow hats packaged in 20 identical, unmarked boxes, with 1 hat per box. What is the least number of boxes that must be selected in order to be sure that among the boxes selected, 4 or more contain hats of the same color?
(A)4 (B)8 (C)9 (D)12 (E)13

Ex Output:
E