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.

[Q]: 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
[A]: Option A


[Q]: Question: The average age of 3 boys is 15 years and their ages are in the proportion 1:2:3. The age of the youngest boy is?

 Option A: 10 years

 Option B: 12 years

 Option C: 15 years

 Option D: 18 years

 Option E: 7.5 years
[A]: Option E


[Q]: Question: A person purchased a TV set for Rs. 15000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?

 Option A: 16.58%

 Option B: 87.58%

 Option C: 46.58%

 Option D: 17.58%

 Option E: 18.58%
[A]:
Option C