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: michelle deposited a certain sum of money in a savings account on july 1 st, 2007. she earns an 14 % interest compounded semiannually. the sum of money in the account on december 31 st, 2009 is approximately what percent of the initial deposit ?
Options: a. 117 %, b. 120 %, c. 121 %, d. 138 %, e. 145 %

Output: d

Input: Consider Input: Problem: if the average ( arithmetic mean ) of a and b is 45 and the average of b and c is 80, what is the value of c a ?
Options: a. 25, b. 60, c. 90, d. 140, e. it can not be determined from the information given.

Output: b

Input: Consider Input: Problem: how many unique positive odd integers less than 100 are equal to the product of a positive multiple of 5 and an odd number ?
Options: a. 4, b. 10, c. 11, d. 12, e. 15
Output: b