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.

Q: Question: X is able to do a piece of work in 8 days and Y can do the same work in 12 days. If they can work together for 3 days, what is the fraction of work left?

 Option A: 8/5

 Option B: 6/5

 Option C: 7/5

 Option D: 3/5

 Option E: 4/5

A: Option D
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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
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Q: Question: Q and F represent two distinct digits. If the number 457Q89F is divisible by 36, what is the value of (Q+F)?

 Option A: a

 Option B: b

 Option C: c

 Option D: d

 Option E: e

A:
Option B
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