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: Rob traveled a distance of 30 km, covering the first 10 km in x minutes, the next 10 km in y minutes and the last 10 km in z minutes. If he totally took 3y minutes to cover the whole distance, then which of the following cannot be true? Assume x , y and z are different.

 Option A: z=3x

 Option B: x=3z

 Option C: y=2x

 Option D: x=2y

 Option E: y=3x

Output: Option D


Input: Consider Input: Question: A started a business with an investment of Rs. 70000 and after 3 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 43000, then the share of B is?

 Option A: 33888

 Option B: 36000

 Option C: 27778

 Option D: 27772

 Option E: 81122

Output: Option B


Input: Consider Input: Question: If Ram and Gohul can do a job in 10 days and 15 days independently. How many days would they take to complete the same job working simultaneously?

 Option A: 5

 Option B: 8

 Option C: 4

 Option D: 7

 Option E: 6


Output: Option E