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: Two stations A and B are 20 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?

 Option A: 9

 Option B: 10

 Option C: 11

 Option D: 12

 Option E: 8

Ex Output:
Option E


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: If the mode of Set Q is equal to the median of Set Q, Set Q could be

 Option A: [0, 1, 2, 2, 3, 4, 5, 6]

 Option B: [2, 2, 5, 7, 9]

 Option C: [x, x+1, x+2, x+2, x+3, x+3]

 Option D: [10, 102, 105, 105]

 Option E: [4, 7, 10, 11, 25/2, 13, 13, 17, 29, 51, 51, 51]

Ex Output:

Option C