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: P alone can complete a piece of work in 14 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together?

 Option A: 6 (1/4

 Option B: 21/2 days

 Option C: 7 (3/4

 Option D: 8/5 days

 Option E: 9 (3/4

Output: Option B


Input: Consider Input: Question: The value of 3Z + Z(ZZ)(ZZ) when Z = 5 is:

 Option A: 3150

 Option B: 3200

 Option C: 3140

 Option D: 3650

 Option E: 3104

Output: Option C


Input: Consider Input: Question: If the average (arithmetic mean) of the four numbers 3, 16, 33, and (N + 1) is 20, then N =

 Option A:  19

 Option B:  20

 Option C:  21

 Option D:  27

 Option E:  29


Output: Option D