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.
--------
Question: Problem: if x and y are positive integers and 3 + x + y + xy = 17, what is the value of x + y ?
Options: a. 3, b. 5, c. 6, d. 8, e. 9

Answer: c


Question: Problem: a thief is spotted by a policeman from a distance of 150 meters. when the policeman starts the chase, the thief also starts running. if the speed of the thief be 8 km / hr and that of the policeman 10 km / hr, how far the thief will have run before he is overtaken ?
Options: a. 350 m, b. 200 m, c. 400 m, d. 600 m, e. none of them

Answer: d


Question: Problem: in a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates ( 0, 4.5 ), ( 8, 0 ), ( 0, - 4.5 ), ( - 8, 0 ) ?
Options: a. 56, b. 72, c. 112, d. 116, e. 120

Answer:
b