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:
The number of baseball cards in Caleb's collection doubles every three months. If after 9 months he has b baseball cards, then which of the following is an expression for the number of baseball cards in his collection after y years?
(A)\(2^yb\) (B)\(2^ { 4y - 3 } b\) (C)\(2^ { 4y } b\) (D)\(2b^ { 4y + 3 } \) (E)\(2^yb^ { y + 2 } \)

Ex Output:
B


Ex Input:
There are a total of 20 marbles in a bag containing only red marbles, blue marbles, and yellow marbles. If a marble is selected at random, the probability of getting a red marble is \(\frac{2}{5}\) and the probability of getting a blue marble is \(\frac{1}{2}\). How many yellow marbles are in the bag?
(A)1 (B)2 (C)4 (D)8 (E)10

Ex Output:
B


Ex Input:
During the 2000 fiscal year, a company made of \(\frac{1}{7}\) its profits in the first quarter, \(\frac{1}{3}\) of its profits in the second quarter, \(\frac{1}{2}\) of its profits in the third quarter, and the remaining $2 million in the fourth quarter. What were the total profits for the fiscal year?
(A)\$18 million (B)\$36 million (C)\$63 million (D)\$84 million (E)\$126 million

Ex Output:

D