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 Q]: The number of instances of illness that a person has in one year is inversely proportional to the average (arithmetic mean) number of hours that person sleeps per night. If last year Lori slept an average of 8 hours per night and was ill 3 times, how many times would she have been ill if she had slept an average of 6 hours per night?
(A)2.25 (B)3 (C)3.5 (D)4 (E)4.75
[EX A]: D

[EX Q]: 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 A]: E

[EX Q]: 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 A]:
B