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: P can do a work in 24 days. Q can do the samework in 9 days & R can do the same work in 12 days. Q & R start the work and leave after 3 days. P finishes the remaining work in how many days.

 Option A: 8

 Option B: 10

 Option C: 14

 Option D: 16

 Option E: 19

Output: Option B


Input: Consider Input: Question: Working together at their respective constant rates, Machine A and Machine B can produce 1,500 units in 8 hours. Working alone, Machine B would complete that same output in 50% more time. If Machine A were to work on its own for an 8-hour shift, what percent of the 1,500 unit total would it produce?

 Option A: 25

 Option B: 36

 Option C: 30

 Option D: 67

 Option E: 75


Output: Option C