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.
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Question: Problem: bottle r contains 350 capsules and costs $ 6.25. bottle t contains 130 capsules and costs $ 2.99. what is the difference between the cost per capsule for bottle r and the cost per capsule for bottle t ?
Options: a. $ 0.25, b. $ 0.12, c. $ 0.0052, d. $ 0.003, e. $ 0.002

Answer: c


Question: Problem: if ( x - 10 ) ( y - 5 ) ( z - 2 ) = 1000 then what is the least value of x + y + z ? if x, y, z are all integer no.
Options: a. 7, b. 8, c. 9, d. 10, e. 11

Answer: a


Question: Problem: jerry and michelle play a card game. in the beginning of the game they have an equal number of cards. each player, at her turn, gives the other a third of her cards. michelle plays first, giving jerry a third of her cards. jerry plays next, and michelle follows. then the game ends. jerry ended up with 14 more cards than michelle. how many cards did each player have originally ?
Options: a. 27, b. 30, c. 34, d. 36, e. 38

Answer:
a