You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option.
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Question: Question: A bag contains 12 red marbles. If someone were to remove 2 marbles from the bag, one at a time, and replace the first marble after it was removed, the probability that neither marble would be red is 49/64. How many marbles are in the bag?

 Option A: 24

 Option B: 48

 Option C: 60

 Option D: 96

 Option E: 84

Answer: Option D


Question: Question: Two trains start simultaneously from opposite ends of a 160-km route and travel toward each other on parallel tracks. Train X, traveling at a constant rate, completes the 160-km trip in 5 hours. Train Y, travelling at a constant rate, completes the 160-km trip in 3 hours. How many kilometers had Train X traveled when it met Train Y?

 Option A: 56

 Option B: 58

 Option C: 60

 Option D: 62

 Option E: 64

Answer: Option C


Question: Question: An author received $0.80 in royalties for each of the first 100,000 copies of her book sold, and $0.50 in royalties for each additional copy sold. If she received a total of $260,000 in royalties, how many copies of her book were sold?

 Option A: 130,000

 Option B: 300,000

 Option C: 380,000

 Option D: 400,000

 Option E: 460,000

Answer:
Option E