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 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
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Q: Problem: dhoni bought 5 toys with the average cost of $ 10. if david also buys the sixth toy with the price of $ 16, what is the average ( arithmetic mean ) price of those 6 toys ?
Options: a. $ 10, b. $ 7, c. $ 8.5, d. $ 9, e. $ 11

A: e
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Q: Problem: a pipe can empty 2 / 3 rd of a cistern in 12 mins. in 6 mins, what part of the cistern will be empty ?
Options: a. 2 / 3, b. 3 / 7, c. 4 / 9, d. 3 / 8, e. 1 / 3

A:
e
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