You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option.

[EX Q]: Question: A particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. These book are occasionally loaned out through an inter-library program. If, by the end of the month, 65 percent of books that were loaned out are returned and there are 68 books in the special collection at that time, how many books of the special collection were loaned out during that month?

 Option A: 20

 Option B: 30

 Option C: 35

 Option D: 40

 Option E: 55
[EX A]: Option A

[EX Q]: Question: It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is?

 Option A: 3:4

 Option B: 7:6

 Option C: 1:4

 Option D: 5:4

 Option E: 2:4
[EX A]: Option A

[EX Q]: Question: If X and Y are sets of integers, X # Y denotes the set of integers that belong to set X or set Y, but not both. If X consists of 8 integers, Y consists of 10 integers, and 6 of the integers are in both X and Y, then X # Y consists of how many integers?

 Option A: 6

 Option B: 16

 Option C: 22

 Option D: 30

 Option E: 174
[EX A]:
Option A