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.
One example is below.
Q: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?

Option A:2/1223

Option B: 1/122

Option C: 1/221

Option D: 3/1253

Option E: 2/153

A: Option C
Rationale: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
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
A:
Option A