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: 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 %

Answer: a


Question: Problem: a is twice as good a work man as b and together they finish the work in 4 days. in how many days a alone can finish the work ?
Options: a. 3, b. 2, c. 7, d. 9, e. 6

Answer: e


Question: Problem: q and r are two - digit positive integers that have the same digits but in reverse order. if the positive difference between q and r is less than 30, what is the greatest possible value of q minus r ?
Options: a. 23, b. 24, c. 25, d. 26, e. 27

Answer:
e