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 integers a and b are distinct factors of 30, which of the following CANNOT be a factor of 30?
I. ab + b^2
II. (a + b)^2
III. a + b

 Option A: I only

 Option B: II only

 Option C: III only

 Option D: I and II only

 Option E: I, II, and III

SOLUTION: Option B

PROBLEM: Question: If one-third of one-fourth of a number is 15, then three-tenth of that number is

 Option A: 35

 Option B: 36

 Option C: 45

 Option D: 54

 Option E: 57

SOLUTION: Option D

PROBLEM: Question: If y = 2 + 2K and y≠0y≠0, then 7/y + 3/y + 1/y + 1/y = ?

 Option A: 1/(8+8k

 Option B: 6/(1+k

 Option C: 1/(8+k

 Option D: 4/(8+k

 Option E: 4/(1+k

SOLUTION:
Option B