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: The cost of Type 1 material is Rs. 15 per kg and Type 2 material is Rs.20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then what is the price per kg of the mixed variety of material?

 Option A: Rs. 19

 Option B: Rs. 16

 Option C: Rs. 18

 Option D: Rs. 17

 Option E: Rs. 21

Output: Option C


Input: Consider Input: Question: A set of numbers has the property that for any number t in the set,t+3 is in the set. If -2 is in the set, which of the following must also be in the set? I. -3 II. 1 III. 4

 Option A: I,III only

 Option B: III only

 Option C: II only

 Option D: II,III only

 Option E: I only

Output: Option D


Input: Consider Input: Question: Evaluate
30!/28!

 Option A: 970

 Option B: 870

 Option C: 770

 Option D: 670

 Option E: None of these


Output: Option B