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: a train traveled the first d miles of its journey it an average speed of 50 miles per hour, the next d miles of its journey at an average speed of y miles per hour, and the final d miles of its journey at an average speed of 160 miles per hour. if the train ’ s average speed over the total distance was 96 miles per hour, what is the value of y ?
Options: a. 68, b. 84, c. 90, d. 120, e. 160

Output: e


Input: Consider Input: Problem: at what price must an article costing rs. 47.50 be marked in order that after deducting 7 % from the list price. it may be sold at a profit of 25 % on the cost price ?
Options: a. 63.84, b. 62.6, c. 62.1, d. 62.7, e. 62.2

Output: a


Input: Consider Input: Problem: peter invests a sum of money and gets back an amount of $ 815 in 3 years. david invests an equal amount of money and gets an amount of $ 850 in 4 years. if both amounts were invested at the same rate ( simple interest ) what was the sum of money invested ?
Options: a. 670, b. 664, c. 698, d. 744, e. 710


Output: e