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: If 0 < x < 1 and x ≠ 0, which of the following inequalities must be true?
I. x^3 < x
II. x^2 < |x|
III. x^4 – x^5 > x^3 – x^2

 Option A:  I only

 Option B:  II only

 Option C:  III only

 Option D:  II and III only

 Option E:  I, II, and III

Output: Option B


Input: Consider Input: Question: A train speeds past a pole in 15 sec and a platform 140 m long in 25 sec, its length is?

 Option A: 210

 Option B: 150

 Option C: 160

 Option D: 170

 Option E: 180

Output: Option A


Input: Consider Input: Question: Which of the following CANNOT yield an integer when divided by 7 ?

 Option A: The sum of three consecutive integers

 Option B: An integer with only even prime factors

 Option C: The product of two odd integers

 Option D: An integer divisible by 8

 Option E: An even integer


Output: Option B