TASK DEFINITION: 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.
PROBLEM: 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%

SOLUTION: Option C

PROBLEM: Question: A cistern can be filled by a tap in 3 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?

 Option A: 2.9 hrs

 Option B: 4.5 hrs

 Option C: 2.9 hrs

 Option D: 7.2 hrs

 Option E: 8.6 hrs

SOLUTION: Option B

PROBLEM: Question: If the average marks of three batches of 70, 60 and 45 students respectively is 50, 55 and 60, then the average marks of all the students is

 Option A: 53.33

 Option B: 54.28

 Option C: 55

 Option D: 57

 Option E: None

SOLUTION:
Option B