instruction:
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.
question:
Question: If x is 20 percent greater than 98, then x =

Option A: 68

Option B: 70.4

Option C: 86

Option D: 105.6

Option E: 117.6
answer:
Option E

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: The amount of an investment will double in approximately 70/ p years, where p is the percent interest, compounded annually. If Thelma invests $ 60,000 in a long-term CD that pays 5 percent interest, compounded annually, what will be the approximate total value of the investment when Thelma is ready to retire 42 years later?

Option A: $ 280,000

Option B: $ 320,000

Option C: $ 360,000

Option D: $ 480,000

Option E: $ 540,000
answer:
Option D