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: the arithmetic mean and standard deviation of a certain normal distribution are 14.5 and 1.7, respectively. what value is exactly 2 standard deviations less than the mean ?
Options: a. 10.5, b. 11, c. 11.1, d. 12, e. 12.5
answer:
c


question:
Problem: when 242 is divided by a certain divisor the remainder obtained is 15. when 698 is divided by the same divisor the remainder obtained is 27. however, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 5. what is the value of the divisor ?
Options: a. 11, b. 17, c. 13, d. 23, e. 37
answer:
e


question:
Problem: okeydokey paid 5 apples at the apple investment booth for an unopened box of earthworms. artichokey paid 7 apples towards the same lot. the booth pays off earthworms proportional to the apples invested. the box turned out to contain 60 earthworms. how many of them should okeydokey receive ?
Options: a. 25, b. 27, c. 28, d. 29, e. 30
answer:

a