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 120 students in a group are to be seated in rows so that there is an equal number of students in each row. Each of the following could be the number of rows EXCEPT

 Option A:  4

 Option B:  20

 Option C:  30

 Option D:  40

 Option E:  90

Output: Option E


Input: Consider Input: Question: A train 125 m long passes a man, running at 10 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?

 Option A: 37 km/hr

 Option B: 50 km/hr

 Option C: 36 km/hr

 Option D: 26 km/hr

 Option E: 55 km/hr

Output: Option E


Input: Consider Input: Question: Machines A and B produce bottles at their respective constant rates. Machine A produces k bottles in 2 hours and machine B produces k bottles in 3 hours. How many hours does it take machines A and B , working simultaneously , to produce 15k bottles?

 Option A: 10

 Option B: 15

 Option C: 12

 Option D: 30

 Option E: 18


Output: Option E