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: ages of two persons differ by 20 years. if 6 year ago, the elder one be 3 times as old the younger one, find their present age
Options: a. 12,28, b. 14,30, c. 16,36, d. 18,34, e. 19,34
[A]: c


[Q]: Problem: if s is the sum of reciprocals of a list of consecutive integers from 55 to 64, inclusive, s is approximately equal to
Options: a. 0.16, b. 0.2, c. 0.3, d. 0.4, e. 0.5
[A]: a


[Q]: Problem: a, b and c are partners in a business. their capitals are respectively, rs. 5000, rs. 6000 and rs. 4000. a gets 30 % of the total profit for managing the business. the remaining profit is divided among 3 in the ratio of their capitals. in the end of the year, the profit of a is rs. 200 more than the sum of the profits of b and c. find the total profit ?
Options: a. 3089, b. 3098, c. 3057, d. 3000, e. 3012
[A]:
d