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.

Input: Consider Input: Problem: if 80 percent of a class answered the first question on a certain test correctly, 55 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly ?
Options: a. 10 %, b. ( 8 ) 20 %, c. 30 %, d. 50 %, e. 55 %

Output: e


Input: Consider Input: Problem: in a group of 100 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. if a person is selected at random from this group, what is the probability the person ' s age is less than 20 ?
Options: a. 0.1, b. 0.55, c. 0.65, d. 0.75, e. 0.85

Output: a


Input: Consider Input: Problem: running at their respective constant rates, machine x takes 2 days longer to produce w widgets than machine y. at these rates, if the two machines together produce 5 / 4 w widgets in 3 days, how many days would it take machine x alone to produce 3 w widgets ?
Options: a. 4, b. 6, c. 18, d. 10, e. 12


Output: c