Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.

[Q]: Problem: if a and b are positive real numbers, and a ^ 3 + b ^ 3 = 25, then the greatest possible value of a is between :
Options: a. 0 and 3, b. 3 and 4, c. 4 and 5, d. 5 and 7, e. 7 and 9
[A]: a


[Q]: Problem: a couple spent $ 211.20 in total while dining out and paid this amount using a credit card. the $ 211.20 figure included a 20 percent tip which was paid on top of the price which already included a sales tax of 10 percent on top of the price of the food. what was the actual price of the food before tax and tip ?
Options: a. $ 120, b. $ 140, c. $ 150, d. $ 160, e. $ 180
[A]: d


[Q]: Problem: in may, the grounds keeper at spring lake golf club built a circular green with an area of 36 π square feet. in august, he doubled the distance from the center of the green to the edge of the green. what is the total area of the renovated green ?
Options: ['a. 100 pi', 'b. 144 pi', 'c. 70', 'd. 80', 'e. 90']
[A]:
b