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: If the number 5 * 2 is divisible by 6, then * = ?

 Option A: 2

 Option B: 5

 Option C: 3

 Option D: 1

 Option E: 6

Answer: Option A


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: Six fencers participate in a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?

 Option A: 20

 Option B: 24

 Option C: 25

 Option D: 30

 Option E: 36

Answer:
Option D