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.

Input: Consider Input: Question: Rahul went to a shop and bought things worth Rs. 50, out of which 80 Paise went on sales tax on taxable purchases. If the tax rate was 8%, then what was the cost of the tax free items?

 Option A: 21.4

 Option B: 12.4

 Option C: 41.2

 Option D: 39.2

 Option E: 32.9

Output: Option D


Input: Consider Input: Question: Johnson has a corporate proposal. The probability that vice-president Adams will approve the proposal is 0.7. The probability that vice-president Baker will approve the proposal is 0.4. The probability that vice-president Corfu will approve the proposal is 0.4. The approvals of the three VPs are entirely independent of one another.
Suppose the Johnson must get VP Adam’s approval, as well as the approval of at least one of the other VPs, Baker or Corfu, to win funding. What is the probability that Johnson’s proposal is funded?

 Option A: 0.49

 Option B: 0.6

 Option C: 0.448

 Option D: 0.5

 Option E: 0.52

Output: Option C


Input: Consider Input: Question: How many integers n are there such that 1< 4n +4 < 20?

 Option A:  Five

 Option B:  Four

 Option C:  Three

 Option D:  Two

 Option E:  One


Output: Option B