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: A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/6 hours to fill the tank. The leak can drain all the water of the tank in?

 Option A: 17 hr

 Option B: 19 hr

 Option C: 10 hr

 Option D: 24 hr

 Option E: 26 hr

Output: Option E


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: A briefcase has a number-lock system containing a combination of 3 digits (Each digit can be of numbers 0 to 8). If the correct combination is unknown, how much maximum time would be required to open the bag if each “trial” of combination takes 3 seconds?

 Option A: 36.45 minutes

 Option B: 36.47 minutes

 Option C: 36.41 minutes

 Option D: 36.42 minutes

 Option E: 36.65 minutes


Output: Option A