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.

Input: Consider Input: 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

Output: Option B


Input: Consider Input: Question: P is three times as fast as Q and working together, they can complete a work in 12 days. In how many days can Q alone complete the work?

 Option A: 11 days

 Option B: 16 days

 Option C: 13 days

 Option D: 15 days

 Option E: 19 days

Output: Option B


Input: Consider Input: Question: A train 400 m long can cross an electric pole in 40 sec and then find the speed of the train?

 Option A: 36 Kmph

 Option B: 40 Kmph

 Option C: 42 Kmph

 Option D: 45 Kmph

 Option E: 38 Kmph


Output: Option A