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: 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
answer:
Option C


question:
Question: If x < y < 0, which of the following must be true?

 Option A: 2xy/3x is a negative integer

 Option B: x-y is a positive integer

 Option C: (-x

 Option D: x/y is a negative integer

 Option E: 2x+y is a negative integer
answer:
Option C


question:
Question: A boy is travelling from his home to school at 6km/hr and reached 7min late. Next day he travelled at 12km/hr and reached 8min early. Distance between home and school?

 Option A: 2km

 Option B: 3km

 Option C: 4km

 Option D: 5km

 Option E: 6km
answer:

Option B