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: A bag is filled with pennies and nickels in the ratio of 5 to 3. There are 30 nickles in the bag, how many coins are there in that bag?

 Option A: 70

 Option B: 65

 Option C: 75

 Option D: 85

 Option E: 80

A: Option E
****
Q: Question: To be considered for “movie of the year,” a film must appear in at least 1/4 of the top-10-movies lists submitted by the Cinematic Academy’s 765 members. What is the smallest number of top-10 lists a film can appear on and still be considered for “movie of the year”?

 Option A: 191

 Option B: 192

 Option C: 193

 Option D: 212

 Option E: 213

A: Option B
****
Q: Question: Jerry’s average (arithmetic mean) score on the first 3 of 4 tests is 85. If Jerry wants to raise his average by 2 points, what score must he earn on the fourth test?

 Option A: 87

 Option B: 89

 Option C: 90

 Option D: 93

 Option E: 95

A:
Option D
****
