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: what is the units digit of 32 ! + 50 ! + 4 ! + 4 ! ?
Options: a. 0, b. 2, c. 4, d. 6, e. 8

A: e
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Q: Problem: lloyd normally works 7.5 hours per day and earns $ 3.50 per hour. for each hour he works in excess of 7.5 hours on a given day, he is paid 1.5 times his regular rate. if lloyd works 10.5 hours on a given day, how much does he earn for that day ?
Options: a. $ 33.75, b. $ 42.00, c. $ 51.75, d. $ 54.00, e. $ 70.00

A: b
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Q: Problem: a certain bacteria colony doubles in size every day for 25 days, at which point it reaches the limit of its habitat and can no longer grow. if two bacteria colonies start growing simultaneously, how many days will it take them to reach the habitat ’ s limit ?
Options: a. 6.33, b. 7.5, c. 10, d. 15, e. 24

A:
e
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