Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.

[EX Q]: Problem: a rectangular tiled patio is composed of 96 square tiles. the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. after the change in layout, the patio will still have 96 tiles, and it will still be rectangular. how many rows are in the tile patio before the change in layout ?
Options: a. 5, b. 6, c. 8, d. 13, e. 28
[EX A]: c

[EX Q]: Problem: a hiker walked for 3 days. she walked 18 miles on the first day, walking 3 miles per hour. on the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. on the third day 5 miles per hour for 6 hours. how many miles in total did she walk ?
Options: a. 68, b. 44, c. 58, d. 60, e. 62
[EX A]: a

[EX Q]: Problem: there are 4 chess amateurs playing in villa ' s chess club tournament. if each chess amateur plays with exactly 4 other amateurs, what is the total number of chess games possible to be played in the tournament ?
Options: a. 10, b. 8, c. 40, d. 60, e. 120
[EX A]:
b