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: If the line L passes through the point (3,n) and (n,3), where n is not equal to 3, which of the following must be true?
1. Line L must passes through the first quadrant
2. Line L does pass the origin
3..The slope of L is negative

 Option A: I only

 Option B: II only

 Option C: III only

 Option D: I and II

 Option E: II and III

SOLUTION: Option C

PROBLEM: Question: A set of numbers has the property that for any number t in the set,t+3 is in the set. If -2 is in the set, which of the following must also be in the set? I. -3 II. 1 III. 4

 Option A: I,III only

 Option B: III only

 Option C: II only

 Option D: II,III only

 Option E: I only

SOLUTION: Option D

PROBLEM: Question: If log72 = m, then log4928 is equal to

 Option A: 2(1 + 2m

 Option B: (1 + 2m

 Option C: 2/(1 + 2m

 Option D: 1 + m

 Option E: 1 + 2m

SOLUTION:
Option B