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: Three numbers are in the ratio 5 : 6 : 7. The sum of its longest and smallest numbers equals the sum of the third number and 54. Find the third number?

 Option A: A

 Option B: B

 Option C: C

 Option D: D

 Option E: E

Output: Option E


Input: Consider Input: Question: The average of 4,8,12 and x is 10. Find the value of x?

 Option A: 10

 Option B: 16

 Option C: 15

 Option D: 24

 Option E: 12

Output: Option B


Input: Consider Input: Question: In a race where 10 cars are running, the chance that car X will win is 1/7, that Y will win is 1/3 and that Z will win is 1/5. Assuming that a dead heat is impossible, find the chance that one of them will win.

 Option A: 1/140

 Option B: 1/180

 Option C: 71/105

 Option D: 21/113

 Option E: 57/120


Output: Option C