instruction:
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.
question:
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
answer:
Option A

question:
Question: Which of the following is NOT a factor of 10! ?

Option A: 1440

Option B: 625

Option C: 160

Option D: 80

Option E: 50
answer:
Option B

question:
Question: The parameter of a square is equal to the perimeter of a rectangle of length 14 cm and breadth 10 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)?

Option A: 23.56

Option B: 23.59

Option C: 23.55

Option D: 18.86

Option E: 23.57
answer:
Option D