TASK DEFINITION: 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.
PROBLEM: 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

SOLUTION: a

PROBLEM: Problem: a worker is paid a regular rate of rs. 30 for completing a survey. the worker completes 100 surveys per week. for any survey involving the use of her cellphone, she is paid at a rate of that is 20 % higher than her regular rate. if she completed 50 surveys involving the use of her cellphone, how much did she get that week ?
Options: a. 2200, b. 1100, c. 2500, d. 2800, e. 3300

SOLUTION: e

PROBLEM: Problem: after 10 % of the inhabitants of a village disappeared, a panic set in during which 25 % of the remaining inhabitants left the village. at that time, the population was reduced to 5130. what was the number of original inhabitants ?
Options: a. 7300, b. 7600, c. 7900, d. 8200, e. 8500

SOLUTION:
b