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.

[EX Q]: Problem: the batting average of a particular batsman is 60 runs in 46 innings. if the difference in his highest and lowest score is 140 runs and his average excluding these two innings is 58 runs, find his highest score.
Options: a. 179, b. 367, c. 269, d. 177, e. 174
[EX A]: e

[EX Q]: Problem: a 16 % stock yielding 10 % is quoted at :
Options: a. 83.33, b. 110, c. 112, d. 120, e. 160
[EX A]: e

[EX Q]: Problem: in a certain large company, the ratio of college graduates with a graduate degree to non - college graduates is 1: 8, and ratio of college graduates without a graduate degree to non - college graduates is 2: 3. if one picks a random college graduate at this large company, what is the probability q this college graduate has a graduate degree ?
Options: a. 1 / 11, b. 1 / 12, c. 1 / 13, d. 3 / 19, e. 3 / 43
[EX A]:
d