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: The sector of a circle has radius of 42 cm and central angle 135o. Find its perimeter?

 Option A: 91.5 cm

 Option B: 92.2 cm

 Option C: 28.9 cm

 Option D: 29.2 cm

 Option E: 183 cm

Output: Option E


Input: Consider Input: Question: On a partly cloudy day, Derek decides to walk back from work. When it is sunny, he walks at a speed of s miles/hr (s is an integer) and when it gets cloudy, he increases his speed to (s + 1) miles/hr. If his average speed for the entire distance is 2.8 miles/hr, what fraction Q of the total distance did he cover while the sun was shining on him?

 Option A: 1/4

 Option B: 4/5

 Option C: 1/5

 Option D: 1/6

 Option E: 1/7

Output: Option E


Input: Consider Input: Question: The sequence {A(n)} is defined by A(1) = 2 and A(n+1)=A(n)+2*n what is the value of A(100)?

 Option A: 9902

 Option B: 9900

 Option C: 10100

 Option D: 9904

 Option E: 9906


Output: Option A