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: a, b and c play a cricket match. the ratio of the runs scored by them in the match is a: b = 6: 3 and b: c = 6: 5. if the total runs scored by all of them are 118, the runs scored by b are ?
Options: a. 24, b. 20.13, c. 30.93, d. 20.93, e. 10.93

A: a
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Q: Problem: if a and b are positive real numbers, and a ^ 3 + b ^ 3 = 25, then the greatest possible value of a is between :
Options: a. 0 and 3, b. 3 and 4, c. 4 and 5, d. 5 and 7, e. 7 and 9

A: a
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Q: Problem: twelve machines, each working at the same constant rate, together can complete a certain job in 6 days. how many additional machines, each working at the same constant rate, will be needed to complete the job in 3 days ?
Options: a. 14, b. 12, c. 15, d. 16, e. 18

A:
b
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