instruction:
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 the range q of the 6 numbers 4, 314, 710 and x is 12, what is the difference between the greatest possible value of x and least possible value of x ?
Options: a. 0, b. 2, c. 12, d. 13, e. 15
answer:
d


question:
Problem: a gardener grows cabbages in her garden that is in the shape of a square. each cabbage takes 1 square feet of area in her garden. this year, she has increased her output by 193 cabbages as compared to last year. the shape of the area used for growing the cabbages has remained a square in both these years. how many cabbages did she produce this year ?
Options: a. 8,208, b. 9,409, c. 11,424, d. 12,586, e. can not be determined
answer:
b


question:
Problem: the center of a circle lies on the origin of the coordinate plane. if a point ( x, y ) is randomly selected inside of the circle, what is the probability that y > x or x > 0 ?
Options: a. 7 / 8, b. 5 / 6, c. 3 / 8, d. 1 / 2, e. 3 / 4
answer:

a