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: 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

SOLUTION: Option C

PROBLEM: Question: A survey is conducted on 800 people from a city. It is found that 6 1% of people surveyed speakHindi, 54.5% people speak Bangla and 37.5% of them speak English. 16.5% people can speak only Hindi and Bangla, 14.5% people can speak only Hindi and English and 6% people can speak only Bangla and English. Answer the following questions based on this information.
How many people are there who can speak only Hindi ?

 Option A: 172

 Option B: 174

 Option C: 176

 Option D: 178

 Option E: 179

SOLUTION: Option C

PROBLEM: Question: What is difference between biggest and smallest fraction among 2/5, 3/4, 4/5 and 5/6

 Option A: 2/5

 Option B: 3/5

 Option C: 1/6

 Option D: 1/7

 Option E: None of these

SOLUTION:
Option E