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.

Q: Problem: the product x of two prime numbers is between 17 and 60. if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then x =
Options: a. 18, b. 29, c. 37, d. 44, e. 57

A: e
****
Q: Problem: a 24 ' ' x 24 ' ' square metal plate needs to be fixed by a carpenter on to a wooden board. the carpenter uses nails all along the edges of the square such that there are 25 nails on each side of the square. each nail is at the same distance from the neighboring nails. how many nails does the carpenter use ?
Options: ['a. 94', 'b. 95', 'c. 96', 'd. 97', 'e. 98']

A: c
****
Q: Problem: in a certain business school class, p students are accounting majors, q students are finance majors, r students are marketing majors, and s students are strategy majors. if pqrs = 1365, and if 1 < p < q < r < s, how many students in the class are strategy majors ?
Options: a. 3, b. 5, c. 8, d. 11, e. 13

A:
e
****