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: In the xy-plane, line q passes through point (3,-2) and intersect perpendicularly with line n that passes through points (0,3) and (3,5). What is the equation of line q?

 Option A: 3x+2y-5=0

 Option B: 3x+2y+5=0

 Option C: 2x-3y-12=0

 Option D: 2x+3y=0

 Option E: 4x+3y-6=0

Output: Option A


Input: Consider Input: Question: A bag contains 5 red balls, 5 green balls and 6 white balls. A ball is drawn at
random from the box. What is the probability that the ball drawn is either red or green?

 Option A: 2/5

 Option B: 3/5

 Option C: 1/5

 Option D: 7/15

 Option E: 5/8

Output: Option E


Input: Consider Input: Question: What is the greatest possible (straight line) distance, between any two points on a hemisphere of radius 2?

 Option A: 0.4

 Option B: 1

 Option C: π/4

 Option D: 4

 Option E: π


Output: Option D