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.

[Q]: Problem: a and b invests rs. 8000 and rs. 12000 in a business. after 4 months, a withdraws half of his capital and 2 months later, b withdraws one - third of his capital. in what ratio should they share the profits at the end of the year ?
Options: a. 32: 99, b. 82: 31, c. 8: 15, d. 34: 89, e. 35: 21
[A]: c


[Q]: Problem: the average age of 17 persons in a office is 15 years. out of these, the average age of 5 of them is 14 years and that of the other 9 persons is 16 years. the age of the 15 th person is ?
Options: a. 39, b. 41, c. 45, d. 42, e. 50
[A]: b


[Q]: Problem: the average of 6 no. ' s is 3.95. the average of 2 of them is 4.2, while the average of theother 2 is 3.85. what is the average of the remaining 2 no ' s ?
Options: a. 4.2, b. 4.4, c. 4.6, d. 3.8, e. 5.7
[A]:
d