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: In the arithmetic sequence t1, t2, t3, ..., tn, t1=23 and tn= tn-1 - 3 for each n > 1. What is the value of n when tn = 8?

 Option A: -1

 Option B: 6

 Option C: 10

 Option D: 14

 Option E: 20

Ex Output:
Option B


Ex Input:
Question: Two alloys A and B are composed of two basic elements. The ratios of the compositions of the two basic elements in the two alloys are 5 : 3 and 1 : 2, respectively. A new alloy X is formed by mixing the two alloys A and B in the ratio 4 : 3. What is the ratio of the composition of the two basic elements in alloy X ?

 Option A: 1 : 1

 Option B: 2 : 3

 Option C: 5 : 2

 Option D: 4 : 3

 Option E: 7 : 9

Ex Output:
Option A


Ex Input:
Question: 16 chess players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played?

 Option A: 190

 Option B: 200

 Option C: 210

 Option D: 220

 Option E: 240

Ex Output:

Option E