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: 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
[A]: Option C


[Q]: Question: A machine puts c caps on bottles in m minutes. How many seconds will it take to put caps on b bottles?

 Option A: 60bm/c

 Option B: bm/60c

 Option C: bc/60m

 Option D: 60b/cm

 Option E: b/60cm
[A]: Option A


[Q]: Question: a little girl went to the farm to buy fruits. she bought 10 apples, 10 oranges and 30 strawberries. what is the ratio of the apples to all the fruits bought?

 Option A: 1/2

 Option B: 1/5

 Option C: 1/10

 Option D: 10/30

 Option E: 3/5
[A]:
Option B