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: Three numbers are in the ratio 5 : 6 : 7. The sum of its longest and smallest numbers equals the sum of the third number and 54. Find the third number?

 Option A: A

 Option B: B

 Option C: C

 Option D: D

 Option E: E
answer:
Option E


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: A batsman makes a score of 87 runs in the 17th match and thus increases his average by 3. Find his average after 17th match

 Option A: 36

 Option B: 37

 Option C: 38

 Option D: 39

 Option E: 35
answer:

Option D