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: 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
Option C

Question: A bus takes 3 hours to cover a distance of 500 Km. how much should the speed in Kmph be maintained to cover the same direction in 5/3th of the previous time?

 Option A: 75 Kmph

 Option B: 100 Kmph

 Option C: 90 Kmph

 Option D: 65 Kmph

 Option E: 70 Kmph
Option B

Question: The average age of a committee of 8 members is 42 years. A member aged 55 years
retired and his place was taken by another member aged 39 years . The average age of
present committee is;

 Option A: 39 years

 Option B: 38 years

 Option C: 36 years

 Option D: 35 years

 Option E: 40 years

Option E