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: 6 / 9 of the population of the country of venezia lives in montague province, while the rest lives in capulet province. in the upcoming election, 80 % of montague residents support romeo, while 70 % of capulet residents support juliet; each resident of venezia supports exactly one of these two candidates. rounded if necessary to the nearest percent, the probability that a juliet supporter chosen at random resides in capulet is
Options: a. 64 %, b. 41 %, c. 45 %, d. 72 %, e. 78 %

Output: a

Input: Consider Input: Problem: a group of hikers is planning a trip that will take them up a mountain using one route and back down using another route. they plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up, but the time each route will take is the same. if they will go up the mountain at a rate of 7 miles per day and it will take them two days, how many miles long is the route down the mountain ?
Options: a. 18, b. 19, c. 20, d. 21, e. 22

Output: d

Input: Consider Input: Problem: the average of 10 numbers is calculated as 18. it is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. the correct average is ?
Options: a. a. 16, b. b. 18, c. c. 19, d. d. 22, e. e. 24
Output: c