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: The functions f and g are defined for all the positive integers n by the following rule: f(n) is the number of perfect squares less than n and g(n) is the number of primes numbers less than n. If f(x) + g(x) = 16, then x is in the range:

 Option A: 30 < x < 36

 Option B: 30 < x < 37

 Option C: 31 < x < 37

 Option D: 31 < x < 38

 Option E: 32 < x < 38

Answer: Option C


Question: Question: By selling 12 toffees for a rupee, a man loses 20%. How many for a rupee should be sell to get a gain of 20%?

 Option A: 5

 Option B: 8

 Option C: 10

 Option D: 15

 Option E: 20

Answer: Option B


Question: Question: A certain basketball team played seven games and scored an average of 50 points per game. If, in the team’s first five games, it scored 45, 39, 61, 50, and 43 points, what was the average (arithmetic mean) number of points scored over the last two games?

 Option A: 65

 Option B: 81

 Option C: 82

 Option D: 56

 Option E: Cannot be determined from the information given.

Answer:
Option D