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: 5, 9, 17, 29, 45, ?

Option A: 65

Option B: 56

Option C: 74

Option D: 57

Option E: 32

Output: Option A

Input: Consider Input: Question: A cistern can be filled by a tap in 3 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?

Option A: 2.9 hrs

Option B: 4.5 hrs

Option C: 2.9 hrs

Option D: 7.2 hrs

Option E: 8.6 hrs

Output: Option B

Input: Consider Input: Question: The average expenditure of the hotel when there are 10 guests is Rs. 60 per guests and the average expenditure is Rs.40 when there are 20 Guests. If it is known that there are some fixed expenses irrespective of the number of guests then the average expenditure per guest whe there are 40 guests in the hotel?

Option A: Rs.30

Option B: Rs.32

Option C: Rs.31

Option D: Rs.39

Option E: Rs.12
Output: Option A