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 group of boy scouts and girls scouts is going on a rafting trip. 45% of the scouts arrived with signed permission slips. If 60% of the scouts were boy scouts and 25% of the boy scouts arrived with signed permission slips, then what percentage of the scouts were girl scouts who arrived with signed permission slips?

 Option A: 20

 Option B: 21

 Option C: 25

 Option D: 28

 Option E: 30

Answer: Option E


Question: 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%

Answer: Option C


Question: Question: The average of 45 results is 13. The average of first 22 of them is 15 and that of last 22 is 20. Find the 23 result?

 Option A: 600

 Option B: 480

 Option C: 750

 Option D: 650

 Option E: 695

Answer:
Option E