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: when 242 is divided by a certain divisor the remainder obtained is 15. when 698 is divided by the same divisor the remainder obtained is 27. however, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 5. what is the value of the divisor ?
Options: a. 11, b. 17, c. 13, d. 23, e. 37
[A]: e


[Q]: Problem: a fort had provision of food for 150 men for 45 days. after 15 days, 10 men left the fort. the number of days for which the remaining food will last, is :
Options: a. 32, b. 37 1 / 4, c. 42, d. 54, e. 45
[A]: a


[Q]: Problem: the timing of a college is from 12 p. m to 4.10 p. m. five lectures are held in the given duration and a break of 5 minutes after each lecture is given to the students. find the duration of each lecture.
Options: a. 52 minutes, b. 45 minutes, c. 46 minutes, d. 48 minutes, e. 44 minutes
[A]:
c