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: It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is?

 Option A: 3:4

 Option B: 7:6

 Option C: 1:4

 Option D: 5:4

 Option E: 2:4

Output: Option A


Input: Consider Input: Question: If the average (arithmetic mean) of five consecutive negative integers is 8k – 1, what is the difference between the greatest and least of the five integers?

 Option A: 4K

 Option B: 4k^2 -4k

 Option C: 4-4k

 Option D: 4

 Option E: 4k+4

Output: Option D


Input: Consider Input: Question: In a series of six consecutive even numbers, the sum of the second and sixth numbers is 24. What is the fourth number?

 Option A: 12

 Option B: 66

 Option C: 87

 Option D: 88

 Option E: 66


Output: Option A