instruction:
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.
question:
Question: If 0 < x < 1 and x ≠ 0, which of the following inequalities must be true?
I. x^3 < x
II. x^2 < |x|
III. x^4 – x^5 > x^3 – x^2

 Option A:  I only

 Option B:  II only

 Option C:  III only

 Option D:  II and III only

 Option E:  I, II, and III
answer:
Option B


question:
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
answer:
Option A


question:
Question: Sandy is younger than Molly by 12 years. If their ages are in the respective ratio of 7:9, how old is Molly?

 Option A: 36

 Option B: 45

 Option C: 54

 Option D: 63

 Option E: 72
answer:

Option C