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: If k is an integer and 2 < k < 7, for how many different values of k is there a triangle with sides of lengths 2, 6, and k?

Option A: one

Option B: two

Option C: three

Option D: four

Option E: five
[EX A]: Option B

[EX Q]: Question: In how many ways can the letters of word DEVELOP be arranged such that all the vowels as well as all the Consonants always appear together?

Option A: 9!

Option B: 3!*4!*2!

Option C: 5!*5!

Option D: 5!*4!*2!

Option E: 6!*4!
[EX A]: Option B

[EX Q]: Question: The distance between a sports store and a recreation center is approximately 3.34 x 10^5 inches. Which of the following is closest to the distance between the sports store and a recreation center, in kilometers? (1 kilometer is approximately 3.9 x 10^4 inches.)

Option A: 9.33

Option B: 8.98

Option C: 8.56

Option D: 9.21

Option E: 9.03
[EX A]:
Option C