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: Anthony and Michael sit on the six member board of directors for company X. If the board is to be split up into 2 three-person subcommittees, what percent R of all the possible subcommittees that include Michael also include Anthony?

 Option A:  20%

 Option B:  30%

 Option C:  40%

 Option D:  50%

 Option E:  60%
answer:
Option C


question:
Question: If -5 < x < 7 and -6 < y < 3, which of the following specifies all the possible values of xy?

 Option A: -42 < xy < 30

 Option B: -42 < xy < 24

 Option C: -28 < xy < 18

 Option D: -24 < xy < 21

 Option E: -24 < xy < 24
answer:
Option A


question:
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
answer:

Option D