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: In a kilometer race, A beats B by 54 meters or 12 seconds. What time does A take to complete the race?

 Option A: 212

 Option B: 190

 Option C: 277

 Option D: 181

 Option E: 122
answer:
Option A


question:
Question: How many of the positive factors of 20 are not factors of 24

 Option A: 2

 Option B: 3

 Option C: 4

 Option D: 1

 Option E: 5
answer:

Option B