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.

Input: Consider Input: Question: I. a3 - 305 = 207,
II. b2 - 72 = -8 to solve both the equations to find the values of a and b?

 Option A: a > b

 Option B: a ≥ b

 Option C: a < b

 Option D: a ≤ b

 Option E: a = b or the relationship between a and b cannot be established.

Output: Option B


Input: Consider Input: Question: The average expenditure of a labourer for 6 months was 90 and he fell into debt. In the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. His monthly income i

 Option A: 70

 Option B: 72

 Option C: 75

 Option D: 78

 Option E: 81

Output: Option E


Input: Consider Input: Question: In a group of hats consisting of only blue hats, green hats, and purple hats, the ratio of blue hats to green hats to purple hats is 7:4:12. If there are a total of 138 hats in this group, how many of these hats are not blue?

 Option A: 28

 Option B: 42

 Option C: 48

 Option D: 96

 Option E: 76


Output: Option D