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: If the ratio of boys to girls in a class is B and the ratio of girls to boys is G; then 5 (B + G) is ?

 Option A: Equal to 3

 Option B: Less than 5

 Option C: More than 5

 Option D: Less than 1/5

 Option E: none of these

Output: Option A


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 garage has a bin that is used by an "add stuff" worker and a "throw away" worker. Working alone, the "add stuff" worker can fill the bin in 5 hours. Working alone, the "throw away" worker can empty the bin in 15 hours. If it is desired that the bin should be filled, from empty, exactly 6 hours after the "add stuff" worker begins his shift at 9:30am, then at what time should the "throw away" worker begin his own shift?

 Option A: 10:00am

 Option B: 10:45am

 Option C: 12:00pm

 Option D: 12:30pm

 Option E: 1:30pm


Output: Option D