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.

Ex Input:
Question: From a Group of 10 People, Including George and Nina, 3 people are to be selected at random to work on a certain project. What is the probability that 3 people selected will include George but not Nina

 Option A: 5/56

 Option B: 9/56

 Option C: 28/120

 Option D: 21/56

 Option E: 25/56

Ex Output:
Option C


Ex Input:
Question: A certain basketball team played seven games and scored an average of 50 points per game. If, in the team’s first five games, it scored 45, 39, 61, 50, and 43 points, what was the average (arithmetic mean) number of points scored over the last two games?

 Option A: 65

 Option B: 81

 Option C: 82

 Option D: 56

 Option E: Cannot be determined from the information given.

Ex Output:
Option D


Ex Input:
Question: A man travelled from the village to the post office at the rate of 25kmph and walked backed at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, find the distance of the post office from the village?

 Option A: 10km

 Option B: 50km

 Option C: 30km

 Option D: 25km

 Option E: 20km

Ex Output:

Option E