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.

[EX Q]: Question: For any positive integer Y, the sum of the first Y positive integers equals Y(Y+1)/2 . If X and Y are positive integers and X > Y, what is the sum of all the integers between X and Y, inclusive?

 Option A:  X(X+1

 Option B:  X(X+1

 Option C:  X(X+1

 Option D:  X(X+1

 Option E:  X(Y+1
[EX A]: Option B

[EX Q]: 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%
[EX A]: Option C

[EX Q]: Question: Pipes A and B can fill a cistern in 8 and 56 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?

 Option A: 13

 Option B: 14

 Option C: 16

 Option D: 18

 Option E: 19
[EX A]:
Option B