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: lucy bought a 1 - year, 10000 certificate of deposit that paid interest at an annual rate of 8 percent compunded semiannually. what was the total amount of interest paid on this certificate at maturity ?
Options: a. 10464, b. 864, c. 816, d. 800, e. 480
[A]: d

[Q]: Problem: what is the smallest number which, when increased by 7, is divisible by 8, 11, and 24 ?
Options: a. 264, b. 257, c. 269, d. 270, e. 282
[A]: b

[Q]: Problem: a cyclist covers a distance of 750 m in 2 min 30 sec. what is the speed in km / hr of the cyclist ?
Options: a. 9 km / hr, b. 7 km / hr, c. 12 km / hr, d. 15 km / hr, e. 18 km / hr
[A]:
e