Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.

[Q]: Problem: if x + y = 260, x - y = 200, for integers of x and y, y = ?
Options: a. 200, b. 230, c. 50, d. 115, e. 150
[A]: b


[Q]: Problem: by selling 20 pencils for a rupee a man loses 30 %. how many for a rupee should he sell in order to gain 30 % ?
Options: a. 8.56, b. 10.75, c. 14.5, d. 16.5, e. 11.4
[A]: b


[Q]: Problem: line q has the equation 5 y – 3 x = 30. if line s is perpendicular to q, has an integer for its y - intercept, and intersects q in the second quadrant, then how many possible line s ’ s exist ? ( note: intersections on one of the axes do not count. )
Options: a. 22, b. 33, c. 36, d. 41, e. 58
[A]:
a