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.

[Q]: Question: The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is

Option A: 0.5928

Option B: 0.5904

Option C: 0.5297

Option D: 0.5297

Option E: 0.5101
[A]: Option B

[Q]: Question: A pharmaceutical company received $3 million in royalties on the first $20 million in sales of and then $8 million in royalties on the next $108 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?

Option A: 8%

Option B: 15%

Option C: 46%

Option D: 52%

Option E: 56%
[A]: Option C

[Q]: Question: A diet contains 300 grams of a mixture of two foods, food X and food Y. Food X contains 10 percent protein and food Y contains 15 percent protein. If a diet provides exactly 38 grams of protein daily, how many grams of food X are in the mixture?

Option A: 150

Option B: 145

Option C: 100

Option D: 160

Option E: 140
[A]:
Option E