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.

[EX Q]: Problem: on her annual road trip to visit her family in seal beach, california, traci stopped to rest after she traveled 1 ⁄ 3 of the total distance and again after she traveled 1 ⁄ 4 of the distance remaining between her first stop and her destination. she then drove the remaining 300 miles and arrived safely at her destination. what was the total distance, in miles, from traci ’ s starting point to seal beach ?
Options: a. 600, b. 300, c. 350, d. 400, e. 550
[EX A]: a

[EX Q]: Problem: virginia, adrienne, and dennis have taught history for a combined total of 96 years. if virginia has taught for 9 more years than adrienne and for 12 fewer years than dennis, for how many years has dennis taught ?
Options: a. 23, b. 32, c. 35, d. 41, e. 42
[EX A]: e

[EX Q]: Problem: if n is the smallest integer such that 72 times n is the square of an integer, what is the value of n ?
Options: a. 2, b. 3, c. 6, d. 12, e. 24
[EX A]:
a