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: Square A is inscribed in circle B. If the perimeter of A is 32, what is the circumference of B?

 Option A: 6√ 2π

 Option B: 4√ 2π

 Option C: 8√ 2π

 Option D: 7√ 2π

 Option E: 5

Output: Option C


Input: Consider Input: Question: A car going at 40 miles per hour set out on an 90-mile trip at 9:00 A.M. Exactly 10 minutes later, a second car left from the same place and followed the same route. How fast, in miles per hour, was the second car going if it caught up with the first car at 10:30 A.M.?

 Option A:  45

 Option B:  50

 Option C:  53

 Option D:  55

 Option E:  90

Output: Option E


Input: Consider Input: Question: A group of four mens and three womens have tickets for seven adjacent seats in one row of a theater. If the three womens will not sit in three adjacent seats, how many possible different seating arrangements are there for these 7 theatre-goers?

 Option A: 7! – 2!3!2!

 Option B: 7! – 4!3!

 Option C: 7 × 2!3!2!

 Option D: 7! – 6!3!

 Option E: None of these


Output: Option E