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.
--------
Question: Problem: the average runs scored by a batsman in 30 matches is 50. in the next 15 matches the batsman scored an average of 26 runs. find his average in all the 45 matches ?
Options: a. 31, b. 42, c. 29, d. 97, e. 27

Answer: b


Question: Problem: list r contains 5 numbers that have an average value of 60. if the median of the numbers in the list is equal to the mean and the largest number is equal to 20 more than two times the smallest number, what is the smallest possible value in the list ?
Options: a. 25, b. 28, c. 31, d. 34, e. 37

Answer: b


Question: Problem: a student committee on academic integrity has 132 ways to select a president and vice president from a group of candidates. the same person can not be both president and vice president. how many candidates are there ?
Options: a. 7, b. 8, c. 9, d. 10, e. 12

Answer:
e