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: the l. c. m of two numbers is 495 and their h. c. f is 5. if the sum of the numbers is 100, then their difference is
Options: a. 19, b. 10, c. 28, d. 27, e. 29
[A]: b


[Q]: Problem: at joes steakhouse the hourly wage for a chef is 20 % greater than that of a dishwasher, and the hourly wage of a dishwasher is half as much as the hourly wage of a manager. if a managers wage is $ 6.50 per hour, how much less than a manager does a chef earn each hour ?
Options: a. $ 2.6, b. $ 2.40, c. $ 3.40, d. $ 4.40, e. $ 5.40
[A]: a


[Q]: Problem: from a group of 3 boys and 3 girls, 4 children are to be randomly selected. what is the probability that equal numbers of boys and girls will be selected ?
Options: a. 1 / 10, b. 4 / 9, c. 1 / 2, d. 3 / 5, e. 2 / 3
[A]:
d