You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option.

[EX Q]: Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?

 Option A: 3451

 Option B: 3467

 Option C: 3891

 Option D: 4601

 Option E: 5184
[EX A]: Option E

[EX Q]: Question: A group of hikers is planning a trip that will take them up a mountain using one route and back down using another route. They plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up, but the time each route will take is the same. If they will go up the mountain at a rate of 8 miles per day and it will take them two days, how many miles long is the route down the mountain?

 Option A: 18

 Option B: 20

 Option C: 22

 Option D: 24

 Option E: 25
[EX A]: Option D

[EX Q]: Question: Merry and Michelle play a card game. In the beginning of the game they have an equal number of cards. Each player, at her turn, gives the other a third of her cards. Michelle plays first, giving Merry a third of her cards. Merry plays next, and Michelle follows. Then the game ends. Merry ended up with 28 more cards than Michelle. How many cards did each player have originally?

 Option A: 45

 Option B: 27

 Option C: 54

 Option D: 36

 Option E: 38
[EX A]:
Option C