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 number 46 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?

 Option A: 17

 Option B: 16

 Option C: 15

 Option D: 10

 Option E: 13

Output: Option D


Input: Consider Input: Question: If one-third of one-fourth of a number is 15, then three-tenth of that number is

 Option A: 35

 Option B: 36

 Option C: 45

 Option D: 54

 Option E: 57

Output: Option D


Input: Consider Input: Question: In a certain math department, students are required to enroll in either Calculus or Trigonometry, each of which is offered in beginner and advanced courses. The number of students enrolled in Trigonometry is 50% greater than the number of students enrolled in Calculus, and 80% of Calculus students are enrolled in the beginner course. If 4/5 of students are in the beginner courses, and one student is selected at random, what is the probability that a beginner Trigonometry student is selected?

 Option A: 40%

 Option B: 44%

 Option C: 48%

 Option D: 52%

 Option E: 56%


Output: Option C