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: the denominator of a fraction is 7 greater than the numerator. if the numerator and the denominator are increased by 4, the resulting fraction is equal to 5 â  „ 6. what is the value of the original fraction ?
Options: a. 23 / 30, b. 25 / 32, c. 31 / 38, d. 37 / 44, e. 47 / 54

Output: c


Input: Consider Input: Problem: the mean of 50 observations is 200. but later he found that there is decrements of 34 from each observations. what is the the updated mean is ?
Options: a. 165, b. 166, c. 190, d. 198, e. 199

Output: b


Input: Consider Input: Problem: sowdharya had 90 currency notes in all, some of which are of rs 95 denomination and the remaining of rs 45 denomination. the total amount of all these currency notes was rs. 5000. how much amount ( in rs ) did she have in the denomination of rs 45 ?
Options: a. 75, b. 72, c. 71, d. 76, e. 73


Output: c