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: X is a prime number bigger than 10. Also, Y = X+X^3+X^5+X^7. What is definitely true about Y?

 Option A: Y is a prime number.

 Option B: Y is odd.

 Option C: Y is even.

 Option D: Y is divisible by 3.

 Option E: Y is divisible by 7.

Output: Option C


Input: Consider Input: Question: x% of y is y% of ?

 Option A: x

 Option B: 100x

 Option C: x/100

 Option D: y/100

 Option E: None

Output: Option A


Input: Consider Input: Question: Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?

 Option A: 19:1

 Option B: 19:4

 Option C: 19:8

 Option D: 19:5

 Option E: 19:2


Output: Option D