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: a lady grows broccoli in her garden that is in the shape of a square. each broccoli takes 1 square foot of area in her garden. this year, she has increased her output by 79 broccoli when compared to last year. the shape of the area used for growing the broccoli has remained a square in both these years. how many broccoli did she produce this year ?
Options: ['a. 1600', 'b. 1500', 'c. 1650', 'd. 1700', 'e. can not be determined']
answer:
a


question:
Problem: the average age of a family of 5 members is 20 years. if the age of the youngest member be 10 years then what was the average age of the family at the time of the birth of the youngest member ?
Options: a. 13.5, b. 14, c. 15, d. 12.5, e. none
answer:
d


question:
Problem: if a and b are positive real numbers, and a ^ 3 + b ^ 3 = 25, then the greatest possible value of a is between :
Options: a. 0 and 3, b. 3 and 4, c. 4 and 5, d. 5 and 7, e. 7 and 9
answer:

a