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: 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
answer:
Option B


question:
Question: A can run 192 metre in 28 seconds and B in 32 seconds. By what distance A beat B?

 Option A: 38 metre

 Option B: 28 metre

 Option C: 24 metre

 Option D: 15 metre

 Option E: 28 metre
answer:
Option C


question:
Question: If n is a positive integer, which of the following expressions must be even?

 Option A: (n − 1

 Option B: (n − 4

 Option C: (n − 2

 Option D: (n − 5

 Option E: (n − 3
answer:

Option B