instruction:
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.
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: If -5 < x < 7 and -6 < y < 3, which of the following specifies all the possible values of xy?

 Option A: -42 < xy < 30

 Option B: -42 < xy < 24

 Option C: -28 < xy < 18

 Option D: -24 < xy < 21

 Option E: -24 < xy < 24
answer:
Option A


question:
Question: A candidate who gets 30% of the marks fails by 50 marks. But another candidate who gets 45% marks gets 25 marks more than necessary for passing. Find the number of marks for passing?

 Option A: 100 Marks

 Option B: 200 Marks

 Option C: 280 Marks

 Option D: 371 Marks

 Option E: 827 Marks
answer:

Option B