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 probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is

 Option A: 0.5928

 Option B: 0.5904

 Option C: 0.5297

 Option D: 0.5297

 Option E: 0.5101

Output: Option B


Input: Consider Input: Question: Three printing presses, W, S, and T, working together at their respective constant rates, can do a certain printing job in 4 hours. S and T, working together at their respective constant rates, can do the same job in 5 hours. How many hours would it take W, working alone at its constant rate, to do the same job?

 Option A: 8

 Option B: 10

 Option C: 12

 Option D: 15

 Option E: 20


Output: Option E