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: Sixty percent of the members of a swim club have passed the lifesaving test. Among the members who have not passed the test, 12 have taken the preparatory course and 30 have not taken the course. How many members are there in the swim club?

Option A: 60

Option B: 80

Option C: 100

Option D: 120

Option E: 140

SOLUTION: Option E

PROBLEM: Question: A certain car's price decreased by 2.5% (from the original price) each year from 1996 to 2002, during that time the owner of the car invested in a new carburetor and a new audio system for the car, which increased car's price by $2,000. If the price of the car in 1996 was $22,000, what is the car's price in 2002?

Option A: $18,400

Option B: $19,500

Option C: $20,200

Option D: $20,700

Option E: $21,100

SOLUTION: Option D

PROBLEM: 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 0.5. 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: 0.14

Option B: 0.26

Option C: 0.49

Option D: 0.55

Option E: 0.86

SOLUTION:
Option C