TASK DEFINITION: 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.
PROBLEM: 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

SOLUTION: Option C

PROBLEM: Question: How many factors does 36^2 have?

 Option A: 2

 Option B: 8

 Option C: 24

 Option D: 25

 Option E: 26

SOLUTION: Option D

PROBLEM: Question: Which number can we add to 425897 to get a number exactly divisible by 456?

 Option A: 3

 Option B: 5

 Option C: 7

 Option D: 9

 Option E: 11

SOLUTION:
Option C